Write an equivalent expression by distributing the "-" sign outside the parentheses: -k-(-6.2m +1)

Answers

Answer 1

In order to get the required expression you take into account that when you eliminate a prenthesis preceded by a minus sign, terms inside the parenthesis change their sign.

Then, for the following expression, you have:

- k - (-6.2m + 1)

- k + 6.2m - 1 that is, signs inside the parenthesis have changed


Related Questions

If y=-4 when x = 10, find y when x = 2.

Answers

With the help of the cross-multiplication method, we know that the value y is -4/5 when x is 2.

What do we mean by the cross-multiplication method?

In mathematics, more specifically in elementary arithmetic and elementary algebra, one could cross-multiply an equation between two fractions or rational expressions to make the equation easier or to determine the value of a variable.

To cross-multiply two fractions, multiply the numerator of the first fraction by the denominator of the second, and the numerator of the second fraction by the denominator of the first.

So, the value of y when x = 2 is:

We know that when y = -4, then x = 10.

Now, calculate y when x = 2.

y/x = y/x

-4/10 = y/2

10y = -8

y = -8/10

y = -4/5

Therefore, with the help of the cross-multiplication method, we know that the value y is -4/5 when x is 2.

Know more about the cross-multiplication method here:

https://brainly.com/question/28839233

#SPJ1

1. Graph each of the following equations below using a tale of values or by another method. Fill in theInformation for each graph.X-intercept:a) y = x2 + 4x - 5y-intercept:хуVertex:Max/MinAxis of SymmetryDomain:Range:

Answers

The equation is

[tex]y=x^2+4x-5[/tex]

We can already find the vertex using the vertex formulas

[tex]\begin{gathered} x_V=-\frac{b}{2a}=\frac{-4}{2}=-2 \\ \\ \\ y_V=-\frac{\Delta}{4a}=-\frac{b^2-4ac}{4a}=-\frac{16+20}{4}=-\frac{36}{4}=-9 \end{gathered}[/tex]

Therefore the vertex is

[tex](x_V,y_V)=(-2,-9)[/tex]

Now we have the vertex we also have the axis of symmetry and the max/min of the function, in that case, it's a minimum because a > 0. Therefore

[tex]\begin{gathered} \text{ axis of symmetry = }x_V=-2 \\ \\ \min\lbrace y\rbrace=y_V=-9 \end{gathered}[/tex]

We can find the x-intercept easily

[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x=\frac{-4\pm\sqrt{4^2+4\cdot5}}{2} \\ \\ x=\frac{-4\pm\sqrt{16+20}}{2} \\ \\ x=\frac{-4\pm\sqrt{36}}{2} \\ \\ x=\frac{-4\pm6}{2} \\ \\ \end{gathered}[/tex]

Hence

[tex]\begin{gathered} x=\frac{-4\pm6}{2}=-2\pm3 \\ \\ x_1=-1 \\ x_2=-5 \end{gathered}[/tex]

The y-intercept is just the c value, then it's -5.

Now we can do the domain, there's no restriction for parabolas in the domain, then

[tex]\text{ domain = }\mathbb{R}[/tex]

And the range is

[tex]\text{ range = \lbrack}y_V,+\infty)=[-9,+\infty)[/tex]

I need help with my pre-calc work! The question image is attached.Which of the functions are bounded below? Check the two that apply.g(x) = -4xg(x) = xˆ2g(x) = xˆ3g(x) = | x + 4 | - 1

Answers

using a graphing tool

graph the functions

see the attached figure to better understand the problem

Remember that

A function f is bounded below if there is some number b that is less than or equal to every number in the range of f.

therefore

in this problem

g(x)=x^2 and g(x)=x^3 are bounded below

which number is four units away from -1a) -3b) - 4 c) 3d) 4

Answers

3 (option c)

Explanation:

Four units away from -1 could be towards the negative number line or positive number line

Towards the negative number from -1 = -2, -3, -4, -5

4th number = -5

Towards the positive number from -1 = 0, 1, 2, 3

4th number = 3

From the above, the number that could be found in the option is 3

Hence, four units away from -1 is 3 (option c)

FEΗIdentify the similar triangles.ΔH FEΝΔΔΗFE Δ

Answers

According to the given figure, the common parts between triangles are angle G, side GH and angles H and E being equal to 90°.

So, the similar triangles are FHG and HEG because that's the position where the corresponding equivalent parts match.

Additionally, triangle HFE would be similar to triangles FGH and HGE.

Need help finding the x-intercepts for equation in picture. I can see them on the graph but I need to work it out by solving.

Answers

Answer:

The x-intercepts of the function are;

[tex]\begin{gathered} x=-2 \\ \text{and} \\ x=-4 \end{gathered}[/tex]

Explanation:

Given the function;

[tex]f(x)=-2(x+3)^2+2[/tex]

We want to derive the x-intercepts of the function.

The x-intercept is at f(x)=0;

[tex]\begin{gathered} f(x)=-2(x+3)^2+2=0 \\ -2(x+3)^2+2=0 \\ -2(x^2+6x+9)^{}+2=0 \\ -2x^2-12x-18^{}+2=0 \\ -2x^2-12x-16=0 \\ -x^2-6x-8=0 \\ x^2+6x+8=0 \end{gathered}[/tex]

solving for x;

[tex]\begin{gathered} x^2+6x+8=0 \\ x^2+2x+4x+8=0 \\ (x+2)(x+4)=0 \\ x+2=0 \\ x=-2 \\ \text{and} \\ x+4=0 \\ x=-4 \end{gathered}[/tex]

Therefore, the x-intercepts of the function are;

[tex]\begin{gathered} x=-2 \\ \text{and} \\ x=-4 \end{gathered}[/tex]

Method 2: quadratic root property;

[tex]\begin{gathered} f(x)=-2(x+3)^2+2=0 \\ -2(x+3)^2+2=0 \\ -2(x+3)^2=-2 \\ \text{divide both sides by -2;} \\ (x+3)^2=1 \\ \text{square root both sides;} \\ \sqrt{(x+3)^2}=\sqrt{1} \\ x+3=\pm1 \\ x=-3\pm1 \\ so\text{ the values of x are;} \\ x=-3+1=-2 \\ \text{and} \\ x=-3-1=-4 \end{gathered}[/tex]

Therefore, the x-intercepts are;

[tex]\begin{gathered} x=-2 \\ \text{and } \\ x=-4 \end{gathered}[/tex]

Lamar has $80,000 in a savings account. the interest rate is 1% per year and is not compounded. to the nearest cent how much will he have in 3 years?

Answers

Simple Interest

The interest rate for Lamar's savings account is 1% per year. This means his money earns 1% at the end of each year.

The formula to calculate the interest is:

I = P.r.t

Where P is the principal or initial saved amount, r is the interest rate, and t is the time.

P = $80,000

r = 1%. This must be converted to decimal

r = 1 / 100 = 0.01

t = 3 years

Calculate the interest:

I = 80,000*0.01*3

I = $2,400

That amount is added to the principal:

A = P + I

A = $80,000 + $2,400

A = $82,400

He will have $82,400 in 3 years

Which of the following statements is NOT true about the data above?

Answers

Explanation

A matrix is a rectangular array of numbers arranged into columns and rows

[tex]\begin{bmatrix}{a_{11}} & {a_{21}} & {.} & {a_{1n}} \\ {a_{21}} & {.\text{.}} & {.} & {\square} \\ {a_{31}} & {.\text{.}} & {.\text{.}} & {\square} \\ {a_{41}} & {.\text{.}} & {.\text{.}} & {a_{mn}}\end{bmatrix}[/tex]

where m is the number of rows and n is the number of columns

The dimensions of a matrix tells its size: the number of rows and columns of the matrix, in that order.

Step 1

check the dimension of the given functino

rows:5

columns: 4

therefore the matrix is a 5 *4 matrix: true

Step 2

the matrix shows the number of medalls for 5 countries,

we can see that the total for USA is 7, so USA has won the most overall medals in Olumpic soccer :true

Step 3

[tex]C_{3,1}[/tex]

it is

rows:3

column 1

we can see the entry for C(3,1) is

3

hence

C) false

Step 4

[tex]C_{4,1}[/tex]

it is

rows:4

column 1

it indicates Nigeria has won 1 medal in Olympic soccer

threfo

Sketch a line of best fit: The graph shows the depth y in centimeters of water filling a bathtub after x minutes. An equation for this line of best fit could be y = 2.4x-3.2. Use the sketch tool to sketch the line of best fit. A) interpolate: Use the given data to determine how much water is in the tub after 7 min. B) Extrapolate: Use the model (your equation) to predict the amount of water in the tub after 30 min. (Extrapolate means you are outside the known data.) I just want to make sure I created the line of best fit and that my answers to each question are correct.

Answers

The given equation of the line that best fits the data is:

[tex]y=\text{2}.4x-3.2[/tex]

In order to graph it we can solve the equation for different x-values, and then find the coordinates of the points to draw the line.

For x=2, the y-value is:

[tex]\begin{gathered} y=2.4\cdot2-3.2 \\ y=4.8-3.2 \\ y=1.6 \end{gathered}[/tex]

For x=7, the y-value is:

[tex]\begin{gathered} y=2.4\cdot7-3.2 \\ y=16.8-3.2 \\ y=13.6 \end{gathered}[/tex]

And for x=12, the y-value is:

[tex]\begin{gathered} y=2.4\cdot12-3.2 \\ y=28.8-3.2 \\ y=25.6 \end{gathered}[/tex]

Then, by placing these 3 points in the coordinate plane, we can draw the line, as follows:

The graph with the given points is:

b. Interpolate: the water is in the tube after 7 minutes 13.6 centimeters. We have already made the calculation in part a. When x=7, then y=13.6

c. Extrapolate: the amount of water after 30 minutes will be:

[tex]\begin{gathered} y=2.4\cdot30-3.2 \\ y=68.8 \end{gathered}[/tex]

The predicted amount of water after 30 minutes will be 68.8 centimeters.

An expression is shown.2 3/4÷4 1/2What is the value of the expression, in simplest form?

Answers

ANSWER

[tex]\frac{11}{18}[/tex]

EXPLANATION

Given:

[tex]2\frac{3}{4}\div4\frac{1}{2}[/tex]

I don't understand how to do either elimination or substituion.

Answers

We will solve by elimination as follows:

-3x - 8y = 20 [We multiply one of the equations by a number so we obtain an equal value in one of them]

8(-5x + y = 19)

-----------------------

-3x - 8y = 20

-40x + 8y = 152

------------------------- [We now add both expressions and solve for the resulting equation]

-43x = 172 => x = -4

Now that we know the value of one of the variables we replace this in one of the first equations:

=> -3(-4) - 8y = 20 => 12 -8y = 20=>-8y = 8 => y = -1

So, from this, we have that the solution for the system is (-4, -1)

I need help with this. I want to understand 7a first

Answers

Answer:

The exact length of segment XY is √4765 and the approximate length is 69.029

Explanation:

The length of a segment that goes from (x1, y1) to (x2, y2) can be calculated as

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So, replacing (x1, y1) by X(-32, 88) and (x2, y2) by Y(11, 34), we get:

[tex]\begin{gathered} \sqrt{(11-(-32))^2+(34-88)^2} \\ \sqrt{(11+32)^2+(-54)^2} \\ \sqrt{43^2+(-54)^2} \\ \sqrt{1849+2916} \\ \sqrt{4765} \\ 69.029 \end{gathered}[/tex]

Therefore, the exact length of segment XY is √4765 and the approximate length is 69.029

how do i get 24 using numbers 5,8,0.3,5 once

Answers

The given numbers are 5, 8, 0.3, 5. To get 24 from these numbers, we form the following expression

[tex](5+5)\cdot8\cdot0.3[/tex]

Let's solve it to see if it gives 24 at the end.

[tex](5+5)\cdot8\cdot0.3=(10)\cdot8\cdot0.3=10\cdot0.24=24[/tex]

Therefore, the answer is

[tex](5+5)\cdot8\cdot0.3[/tex]

Dante is saving money to buy a game. So far he has saved $20, which is four-fiths of the total cost of the game. How much does the game cosх$?

Answers

Money saved = $20

According to the statement we can establish the following equation

[tex]20=\frac{4}{5}X[/tex]

where X is the total cost of the game

now let's find X

[tex]\begin{gathered} \frac{4}{5}X=20 \\ 5\cdot\frac{4}{5}X=20\cdot\: 5 \\ 4X=100 \\ \frac{4X}{4}=\frac{100}{4} \\ X=25 \end{gathered}[/tex]

Therefore the total cost of the videogame is $25

The scatterplot shows the average number of hours each of 13 people spends at work every week and the average number of hours each of them spends recreational activities every week.Based on the scatterplot,what is the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities every week?A.33 hB.95 hC.50 hD.65 h

Answers

We want to find the best prediction of the average number of hours a person spends at work every week if that person spends an average of 10 hours on recreational activities every week.

We will construct a line that adapts to the system by simple linear regression, and then we will find the x-value that makes the line take y=10.

First, we have the data:

We remember that in a simple regression model, we want to write an equation of the form:

[tex]y=\hat{\alpha}+\hat{\beta}x[/tex]

where:

[tex]\begin{gathered} \hat{\alpha}=\bar{y}-\hat{\beta}\bar{x} \\ \hat{\beta}=\frac{nS_{xy}-S_xS_y}{nS_{xx}-S^2_x}_{} \end{gathered}[/tex]

And the Sx, Sy and Sxx are the sums over all the x-values, the y-values and the multiplication of the x-values and y-values (respectively).

We will find those values:

[tex]\begin{gathered} S_x=\sum ^{13}_{i=1}x_i=370 \\ S_y=\sum ^{13}_{i=1}y_i=336.5 \end{gathered}[/tex]

Also, we have:

[tex]\begin{gathered} S_{xx}=\sum ^{13}_{i=1}x^2_i=12600 \\ S_{xy}=\sum ^{13}_{i=1}x_iy_i=8680_{}_{} \end{gathered}[/tex]

And applying the formula, having in mind that n=13, we get:

[tex]\begin{gathered} \hat{\beta}=\frac{nS_{xy}-S_xS_y}{nS_{xx}-S^2_x}_{} \\ =\frac{13(8680)-(370)(336.5)}{13(12600)-(370^2)} \\ =\frac{-11665}{26900} \\ \approx-0.4336 \end{gathered}[/tex]

And, for alpha:

[tex]\begin{gathered} \hat{\alpha}=\frac{1}{n}S_y-\hat{\beta}\frac{1}{n}S_x \\ =\frac{1}{13}(336.5)-(-0.4336)\frac{1}{13}(370) \\ \approx38.2255 \end{gathered}[/tex]

This means that the linear regression equation will be:

[tex]y=38.2255-0.4336x[/tex]

For finding the x-value that will have 10 hours of recreational activities, we replace the 10 value on y, and clear out the variable x:

[tex]10=38.2255-0.4336x[/tex]

And thus,

[tex]\begin{gathered} 10-38.2255=-0.4336x \\ \frac{-28.2255}{-0.4336}=x \\ 65.09=x \end{gathered}[/tex]

This means that when a person works 65 hours approximately, he will have 10 hours of recreational activities every week.

if your able to answer all of them i will be giving you 5 stars

Answers

The function given is:

[tex]f(x)=-16x^2+60x+16[/tex]PART A

The factorization steps are shown below:

[tex]\begin{gathered} f(x)=-16x^2+60x+16 \\ f(x)=4(-4x^2+15x+4) \\ f(x)=4(-4x^2+16x-x+4) \\ f(x)=4(-4x(x-4)-1(x-4)) \\ f(x)=4(-4x-1)(x-4) \end{gathered}[/tex]PART B

To find the x intercepts, we set f(x) equal to 0 and solve for x:

[tex]\begin{gathered} f(x)=4(-4x-1)(x-4) \\ f(x)=0 \\ 4(-4x-1)(x-4)=0 \\ -4x-1=0--------(1) \\ OR \\ x-4=0---------(2) \end{gathered}[/tex]

Solving (1), we have:

[tex]\begin{gathered} -4x-1=0 \\ 4x=-1 \\ x=-\frac{1}{4} \\ x=-0.25 \end{gathered}[/tex]

and, solving (2), we have:

[tex]\begin{gathered} x-4=0 \\ x=4 \end{gathered}[/tex]

The x-intercepts are

[tex]\begin{gathered} x=-0.25 \\ x=4 \end{gathered}[/tex]

PART C

The standard equation of a quadratic is

[tex]f(x)=ax^2+bx+c[/tex]

The parabola opens upward when a is positive and opens downward when a is negative

1. When parabola opens upward, the end behavior can be described as:

[tex]\begin{gathered} x\rightarrow\infty \\ y\rightarrow\infty \\ \text{and} \\ x\rightarrow-\infty \\ y\rightarrow\infty \end{gathered}[/tex]

2. When parabola opens downward, the end behavior can be described as:

[tex]\begin{gathered} x\rightarrow\infty \\ y\rightarrow-\infty \\ \text{and} \\ x\rightarrow-\infty \\ y\rightarrow-\infty \end{gathered}[/tex]

Our equation has an "a" value that is negative! So, the parabola opens downward and the end behvaior can be described as:

As x goes to infinity (gets infinitely large), y goes to negative infinity (gets infinitely small) and as x goes to negative infinity (gets infinitely small), y goes to negative infinity (get infinitely small).

PART D

In Part B, we found the x-intercepts. Those are the x-axis cutting points. We can draw those first.

Then,

Using the end behavior information that we found in Part C, we can draw the parabola. The rough sketch is shown:

The exact graph is shown below, for reference:

3. Marisol made 12 cups of party mix. She gave 3 cups to her mother and 3 cups to her grandmother. How much party mix did Marisol have left for herself? 3 cups ( 6 7 cups 4 cups 6 cups

Answers

We will have the following:

[tex]12-2(3\frac{3}{4})=12-2(\frac{12}{4}+\frac{3}{4})[/tex][tex]=12-2(\frac{15}{4})=\frac{9}{2}[/tex][tex]=4\frac{1}{2}[/tex]

So, she will have 4 & 1/2 cups.

Point C is between A and B on AB. Use the given information to write an equation in terms of x. Then solve the equation to find x, AC, BC, and AB.

Answers

We have the following:

[tex]\begin{gathered} AB=AC+CB \\ AC=2x+5 \\ AB=27x \\ CB=5x+15 \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} 27x=2x+5+5x+15 \\ 27x-2x-5x=20 \\ 20x=20 \\ x=\frac{20}{20} \\ x=1 \end{gathered}[/tex]

Therefore:

[tex]\begin{gathered} AC=2\cdot1+5=7 \\ AB=27\cdot1=27 \\ CB=5\cdot1+15=20 \end{gathered}[/tex]

x = 1

AC = 7

AB = 27

CB = 20

A rectangular play area has an area of 7,497 square meters. If the width of the rectangle is 49 meters, find the length.

Answers

If a rectangular play area has an area of 7,497 square meters. and the width of the rectangle is 49 meters, then the length is 153 meters

A rectangular play area has an area of 7,497 square meters

If the width of the rectangle is 49 meters

Let the length of the rectangular play be l

Area of a rectangle can be given by

area = length x width

7497 = l x 49

l = 7497 / 49

l = 153

Therefore, if a rectangular play area has an area of 7,497 square meters. and the width of the rectangle is 49 meters, then the length is 153 meters

To learn more about rectangle refer here

https://brainly.com/question/25292087

#SPJ9

Michael and Karim are eating buffalo wings at a constant rate. Michael can eat 5.5 wings per minute. Karim's eating information is shown in the table below. Time (minutes) Wings eaten 1 6 2 12 18 3if they both ate 6 min how many wings would each person eat

Answers

a) Karim eats faster

b) Number of wings Micheal will eat = 33 wings

Number of wings Karim will eat = 36 wings

Explanation:

a) Michael eat 5.5 wings per minute

we need to find the constant rate Karim eats from the table

The constant rate = change in wings eaten/ change in time

The constant rate = (12 - 6)/(2-1) = (18-12)/(3-2)

= 6/1 = 6/1

The constant rate Karim eats = 6 wings per minute

Rate of Mcheal eating = 5.5

Rate of Karim eating = 6

Karim eats faster

Reason: Because Karim consumes more wings than Micheal when they are given same time, he will eat faster.

6 > 5.5

b) If they both ate 6 min:

Number of wings = rate × time

Number of wings Micheal will eat = 5.5 × 6 = 33 wings

Number of wings Karim will eat = 6 × 6 = 36 wings

Factor completely.28 – 7x2Show Calculator

Answers

[tex]28-7x^2[/tex][tex]7(4-x^2)[/tex][tex]7((2-x)(2+x))[/tex]

Which car gets better mileage: a car that gets 23 miles per gallon or a car that gets 45 kilometers per gallon?​

Answers

A car that gets 45 kilometers per gallon has better mileage than a car that gets 23 miles per gallon

What is mileage of a car?

The mileage of a car is the number of miles that it can travel using one gallon or litre of fuel.

The first car that gets a mileage of 23 miles per gallon

The second car gets 45 kilometers per gallon

1 mile = 1.6 km

1 km = 1/1.6 mile

45 km = (1/1.6) 45

45 km = 28.125 miles

28.125  miles > 23 miles

Therefore,  a car that gets 45 kilometers per gallon has better milegae than a car that gets 23 miles per gallon

To learn more about conversion refer here

https://brainly.com/question/97386

#SPJ9

(08.01 MC)Find the height of a square pyramid that has a volume of 12 cubic feetand a base length of 3 feet. (1 point)

Answers

Recall that we can do the following picture

We want to find the height of this pyramid and are told the volume of the pyramid. Recall that the volume of a square pyramid of height h and base length b is given by the formula

[tex]V=\frac{1}{3}b^2\cdot h[/tex]

In our case, we have V=12, and b=3. So we have the following equation

[tex]12=\frac{1}{3}\cdot3^2\cdot h=3\cdot h[/tex]

So, we should find the value of h from this equation. To do, we simply divide both sides by 3, so we get

[tex]h=\frac{12}{3}=4[/tex]

so the height of the pyramid is 4 feet.

Is this correct? If not can you show me how to do it?

Answers

D. The rental cost in dollars, for each paddleboard.

Explanation:

You were in the right track with linking 40 to the paddleboards.

But remember that t represent the total cost and not the total number of paddleboards and kayak, and also since p represent the number of paddleboards (while k represent the number of kayak)

To find t, you need to sum the cost of all the kayaks and the sum of all the paddleboards.

=> t = 25k + 40p

with 25k = total cost of all the kayaks

and

with 40p = total cost of all the paddleboards => in others words the total number of paddleboards (p) * the cost of each paddleboards (40)

Susan earns 0.5% interest annually in her savings account. she can model her savings account balance after earning interest for a year as fx=x+0.005x or just fx=1.005x where x is the account balance

Answers

The balance of her account after one year, using simple interest, will be of

$30,150.

How to obtain the balance using simple interest?

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = A(0)(1 + rt).

In which the parameters of the equation are explained as follows:

A(0) is the value of the initial deposit.r is the interest rate, as a decimal.

Considering that she has $30,000 in her account and the interest rate of 0.5%, the values of the parameters are given as follows:

A(0) = 30000, r = 0.005.

Hence the balance after one year will be of:

B(1) = 30000(1 + 0.005) = $30,150.

Missing Information

The problem asks for the balance after one year, if she started with $30,000 in her account.

More can be learned about simple interest at https://brainly.com/question/25793394

#SPJ1

A map is created on a coordinate plane . Typ's house is located at (7,8) and the library is located at (7,-6) Each unit on the coordinate plane represents 1 block. How many blocks is it from Ty's house to the library? explain

Answers

We will have to calculate the distance between the two points ( that is between Ty's house to library

[tex]\text{distance betw}en\text{ two points = }\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex](x_1,y_1)=(7,8)and(x_2,y_2)=(7,-6)_{}[/tex][tex]\begin{gathered} d=\text{ }\sqrt[]{(7-7)^2+(-6-8)^2}\text{ =}\sqrt{\text{ }0^2+(-14)^2}\text{ =}\sqrt[]{14^2\text{ }} \\ d=\text{ 14} \end{gathered}[/tex]

There are 14 blocks between Ty's house to the library

Stuck on this question, any help greatly appreciated.Don't understand the concept of what the question is asking

Answers

You have the line segment PQ shown in the exercise. Notice that you must copy the length of that line using the compass. Notice that one of the endpoints of the new line is R.

In order to copy it, you can follow these steps:

1. You need to place the compass on one of the endpoints of the line PQ.

2. Open the compass to the length of the segment PQ (one leg of the compass must be on the endpoint P and the other one on the endpoint Q).

3. Using the amount of opening found in the previous step, place the compass on the point R and make a mark with the other leg of the compass.

Notice that by applying these steps, you get a segment with the same length of PQ.

Therefore, the answer is:

What is the value of cos(150°)?

Answers

Given that cos(150°).

[tex]\cos (150^o)=\cos (180^o-30^o)[/tex][tex]\text{Use }\cos (180^o-30^o)=-\cos 30^o[/tex]

[tex]\cos (150^o)=-\cos (30^o)[/tex][tex]\text{Use }\cos (30^o)=\frac{\sqrt[]{3}}{2}\text{.}[/tex]

[tex]\cos (150^o)=-\frac{\sqrt[]{3}}{2}[/tex]

Hence the required value is

[tex]\cos (150^o)=-\frac{\sqrt[]{3}}{2}[/tex]

how do you write out this number in word 506,341,209.54

Answers

You write this number in word this way:

Five hundred six million three hundred fourty one thousand two hundred nine point fifty four.

Question 8 of 10The table below shows the number of e-mails received each day by acompany employee for two separate weeks. If the data were represented witha comparative dot plot, which day would have more dots for week 2 than forweek 1?Week 1 Week 2Monday74.Tuesday83Wednesday52Thursday97Friday69

Answers

Solution

It's Friday

Because, the number of dots for week 2 is 9, while the number of dots for week 1 is 6.

Hence, the correct option is A.

Other Questions
I need some help with this problems please Number 10 6. You deposit $1000 a year into an account. This account earns 8% interest compounded yearly,(20 points)a) how much will you have after 10 years?b) How much total money did you put in the account.c) How much total interest did you earn? when demand for products exceeds the production capacity, a(n) - decision must be made. (enter only one word per blank.) When a scientist performs an experiment, there are many changes that can occur. Which observation should she list as a chemical change?. Use the distributive property of multiplication to find 6x14. Complete the statement.If a transversal intersects two parallel lines, then _____ angles are supplementary.same-side interiorcorrespondingacutealternate interior A nurse measured The blood pressure of each person who visit a hair clinic and created a relative frequency histogram for the systolic blood pressure readings approximately what percentage of the people had a systolic blood pressure Reading between 110 and 139 inclusive everything that consumers evaluate when deciding whether to buy something is referred to as the ________ Each ticket to a matinee movie costs $8. Part A: Complete this table relating the number of movie tickets bought, m, to the total cost, c, of the tickets. m C 4 6 9 Part B: Write an equation that models this situation, using the variables m and c. Answer: Brandy thinks the number of movie tickets bought depends on the total cost of the movie tickets. Brandy's brother thinks the total cost of the movie tickets depends on the number of movie tickets bought Part C: Whose thinking is correct, Brandy's, her brother's, or both? Explain how you know. what gifts does Wealhtheow give to Beowulf and what is the purpose of these gifts consider the equation -4x+3y=7. Assume that y is a function of x. rewrite the equation using function notation F(x) how to the chemical properties of sodium oxide allow them to be used Heather dropped a water balloon over the side of her school a height of 80 feet. The approximate height of the balloon at any point during it's fall can be represented by the following quadratic equation: h=-16t^2+80. About how long did it take for the balloon to hit the ground.A.1.73B.2.24C.2.45D.2.83 How do senses helphumans live?What are thelimitations of humansenses?What are theauthors'/speakers'attitudes towards thesenses?What are theauthors'/speakers'perspectives on howhumans perceive theworld?"Coming to Our Senses""We grow accustomed to theDark" which of the following statements best describes the administration of charlemagne's empire?a) the empire was run by a group of elected representatives from all over the kingdom b) every region in the empire was run by a procurator and who was appointed by charlemagned) it was run by the missi dominici who were sent by the king If you randomly select a letter from the phrase "Ichiro Suzuki is at the top of the lineup," what is theprobability that you select a consonant? (Your answer must be in the form of a reduced fraction.)Submit Question Games at the carnival costs $7 each. The prizes awarded to the winners costs the owner $177.35. How many games must be played for the owner to make at least $75. Use g as your variable. Round your inital answer to the nearest hundredth. What is the greatest common factor of the polynomial: 35y + 5y + 157 " 5 less than the square of a number Ms. Perea wants to cover the floor withrectangular tiles that measure 1.5 feet by0.8 feet. Which equation can be used tofind t, the number of tiles she will need tocover the kitchen floor?