May I please get help with this where I have tried multiple times but still cannot find the right answers for them

May I Please Get Help With This Where I Have Tried Multiple Times But Still Cannot Find The Right Answers

Answers

Answer 1

Given a point with coordinates (x, y), to rotate 90º counterclockwise, the rule is:

[tex](x,y)\Rightarrow(-y,x)[/tex]

In thisc ase, we have the point:

[tex](2,-1)[/tex]

Applying the rule:

[tex](2,-1)\Rightarrow(1,2)[/tex]


Related Questions

Find the slope of a line that is a) parallel and b) perpendicular to the given line.– 3x – 4y = 1

Answers

The line is:

[tex]-3x-4y=1[/tex]

Which is equivalent to:

[tex]\begin{gathered} \Rightarrow4y=-3x-1 \\ \Rightarrow y=-\frac{3x}{4}-\frac{1}{4} \end{gathered}[/tex]

Thus, the slope of the line is equal to -3/4

a) Every line parallel to that one has the same slope, then the answer is -3/4

b) On the other hand, if m_1 and m_2 are the slopes of two perpendicular lines, then:

[tex]m_1\cdot m_2=-1[/tex]

Therefore, since the slope of our line is equal to -3/4, the slope of any line perpendicular to that one is:

[tex]\begin{gathered} m_1\cdot(-\frac{3}{4})=-1 \\ \Rightarrow m_1=\frac{4}{3} \end{gathered}[/tex]

Hence, the answer is 4/3

0.08 is 30%?TrueFalse

Answers

A number can be expressed in percent form or in decimal form.

For example, 0.3

Find the domain and range and intercepts.g of x = 3 / x-4

Answers

a) Domain; all real numbers except 4

b) Range; all real numbers except y = 0

c) Y-intercept = -0.75

d) x-intercept does not exist

Here, we want to find the domain, range and intercepts

The domain refers to the possible x-values

From the question, the function will hold for all values of x, except x = 4, where we will have an undefined expression

Thus, the domain is all real numbers, except x= 4

For the range, we are referring to the possible y-values

From the given equation the possible y values are all real numbers except y = 0

To find the intercepts, let us write g(x) as y

The equation is thus;

[tex]\begin{gathered} y\text{ = }\frac{3}{x-4} \\ \end{gathered}[/tex]

To get x-intercept, substitute y = 0

By doing this, we have no x-intercept

To get the y-intercept, we simply substitute x = 0

That means;

[tex]\begin{gathered} y\text{ = }\frac{3}{0-4} \\ y\text{ = }\frac{3}{-4} \\ y\text{ = -0.75} \end{gathered}[/tex]

-7t-8=10+2t solve for t

Answers

Answer:

t= -2

Step-by-step explanation:

Hope this helps!!

Answer:

t = -2

Step-by-step explanation:

-7t - 8 = 10 + 2t

Subtract 10 from both sides

-7t - 18 = 2t

Add 7t to both sides

-18 = 9t

Divide both sides by 9

-2 = t

360 2 kg G 10. A yogurt tub contains 1 liter of yogurt. Nancy and her friends' eat 425 milliliters of yogurt. How much yogurt is left? Datab 425 s 75 you

Answers

The amount of 1 litre is equivalent yo 1000 milliliter.

Determine the amount yogurt left by subtraction of 425 from 1000.

[tex]1000-425=575[/tex]

So 575 milliliter of yogurt is left.

wich equation is proportional?y=2x-6y=-1/4x

Answers

[tex]\begin{gathered} \text{The equation is y=-}\frac{1}{4}x\text{ proportional.} \\ And,\frac{-1}{4}\text{ is proportinality constant.} \end{gathered}[/tex]

200,000 divided by 2,800

Answers

71.4285 approximately

On a cold day in new york, a street vendor sold 35 cups of hot chocolate and her entire stock of hot cider. if the ratio of cider to hot chocolate is 8:5, how many cups of cider did she sell?

Answers

Using the concept of ratio and proportion, the vendor sold 56 cups of hot cider.

How does a ratio operate?

The word "proportion" often denotes a portion, share, or sum that is in comparison to a whole. Two ratios are in proportion when they are equal, according to the proportional idea. When an equation or a statement to that effect is used, two ratios or fractions are equal.

Define ratio.

A percentage is a mathematical comparison of two numbers. In terms of proportion, two sets of given numbers are said to rise or decrease in the same ratio if they are directly proportionate to one another.

Cider supplied by the street seller for value = x for 35

= x/35

The cider's ratio is 8:5,

x/35 :: 8:5,

x = [35(8)]/ 5

=56.

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question 1A.) 4, 8, 12B.)6, 10, 26C.) 2, 6, 22D.) 1, 2, 6

Answers

Answer

Option C is correct.

a₁, a₂ and a₃ = 2, 6 and 22 respectively.

Explanation

We have been told that

a₀ = 1

And any term after that is given as

[tex]a_{i+1}=4a_i-2[/tex]

So,

a₁ = 4a₀ - 2

a₁ = 4 (1) - 2

a₁ = 4 - 2

a₁ = 2

a₂ = 4a₁ - 2

a₂ = 4 (2) - 2

a₂ = 8 - 2

a₂ = 6

a₃ = 4a₂ - 2

a₃ = 4 (6) - 2

a₃ = 24 - 2

a₃ = 22

Hope this Helps!!!

Find the equation of the line passing through the given pair of points. Write the equation in slope-intercept form.(-4,-2), (3,7)

Answers

Equation of a line in slope intercept form:

[tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

To find the slope use the two given points in the next formula:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ \text{points: }(-4,-2)(3,7) \\ \\ m=\frac{7-(-2)}{3-(-4)} \\ \\ m=\frac{7+2}{3+4}=\frac{9}{7} \end{gathered}[/tex]

Use the slope and one of the points to find the y-intercept:

[tex]\begin{gathered} y=mx+b \\ (3,7) \\ \\ 7=\frac{9}{7}(3)+b \\ \\ 7=\frac{27}{7}+b \\ \\ 7-\frac{27}{7}=b \\ \\ b=\frac{49-27}{7} \\ \\ b=\frac{22}{7} \end{gathered}[/tex]

Then, the equation of the line passing through the given pair of points is:

[tex]y=\frac{9}{7}x+\frac{22}{7}[/tex]

Aiden ran a total of 8 miles over the course of 2 track practices. How many track practices would it take for Aiden to run 16 miles? Assume the relationship is directly proportional.​

Answers

Answer:

4

Step-by-step explanation:

8 miles over 2 practices so double that

a frame is 9 inch wide and 6 inch tall. if it is reduced to a width of 3 inch the how tall will it be?

Answers

The height of the frame will remain the same.

The height of the frame is 6 inch

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A frame:

The frame can be considered as a rectangle.

Wide = 9 inch

Height = 6 inch

_______

|               |

|               | 6-inch (height)

|               |

|_______|

  9-inch (wide)

If wide = 3 inches the height remains the same.

Thus,

The height of the frame will remain the same.

The height of the frame is 6 inch

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one angle of a triangle mesures 24 more than the smallest angle in the triangle. the third angle measures twice the measure of the smallest angle

What is the measure of the smallest angle?

24
39
52
54

Answers

The answer, the measure of the smallest angle is 39° in the triangle.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

Let x be the smalletst angle

2nd angle will be x+24

and 3rd angle will be 2x

So sum of all angles x+2x+x+24=180

4x=180-24

x=156/4

x=39

Hence the measure of the smallest angle will be 39°

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Last year the book fair sold 200 bookmarks compared to the 180 sold this year. What is the percent of change in the number of bookmarks sold?

Answers

Answer:

Step-by-step explanation:

1. Subtract 200 from 180

200 - 180 = 20

2. Divide the difference of the number of bookmarks by last years

20 / 200 = 0.1

3. Multiply 0.1 by 100 to get the percentage

0.1 x 100 = 10 %

4. Since this is a reduction in number of bookmarks sold, then it would be a -10% change in the number of bookmarks sold.

given BD and AC bisects each other. prove AB\\ CD

Answers

From step #6, AB is congruent to CD by CPCTC or Corresponding Parts of Congruent Triangles are Congruent.

Triangles ABE and CDE are congruent by SAS postulate.

Therefore, angle B and angle D are congruent.

Note that the segment BD is a transversal line that cuts AB and CD, and angle B and angle D are alternate interior angles.

The answer is :

XY || WZ ⇒ AB || CD

with a reason of :

Parallel lines cut by a transversal form congruent alternate interior angles.

8. If two lines are cut by a transversal so that consecutive interior angles are (congruent, supplementary, complementary), then the lines are parallel

Answers

Supplementary angles add up to 180°

If two lines are cut by a transversal so that consecutive interior angles are ( supplementary,, then the lines are parallel​

Find an equation for the line perpendicular to the line 4x - 9y = - 5 having the same y-intercept as - x - 4y = -2.

Answers

Clear y from both equations to find the slope y intercept form of the equations

[tex]\begin{gathered} 4x-9y=-5 \\ -9y=-4x-5 \\ y=\frac{-4x-5}{-9} \\ y=\frac{4}{9}x+\frac{5}{9}\text{ (Eq. 1)} \\ -x-4y=-2 \\ -4y=x-2 \\ y=\frac{x-2}{-4} \\ y=-\frac{x}{4}+\frac{1}{2}\text{ (Eq. 2)} \end{gathered}[/tex]

Now, find the equation for the line that is perpendicular to Eq. 1 and has the same y intercept as Eq. 2

[tex]\begin{gathered} m1\cdot m3=-1 \\ m3=-\frac{1}{m1} \\ m3=-\frac{1}{\frac{4}{9}} \\ m3=-\frac{9}{4} \\ y=-\frac{9}{4}x+\frac{1}{2}\text{ (Eq. 3)} \end{gathered}[/tex]

Eq. 3 is the equation for the line

5.
Write the equation for this line

Answers

Answer:

y = 3x - 6 is the correct equation. The slope is 3, and the y-intercept is at -6.

Find the GCF and LCM for 24 & 30.
GCF-
LCM-

Answers

Answer:

The GCF of 24 & 30 would be 6. The LCM of 24 & 30 would be 120.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

What is the equation for the line in slope-intercept form?

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

Slope intercept form : y = mx + b

Where

m = slopeb = y intercept

Finding Y - Intercept

The y intercept is the point where the line crosses the y axis.

Here, just by looking at the graph we can say that the y intercept is at (0,-4) because that is where the line passes the y intercept.

This means that b = - 4

Finding the slope

We can find the slope using the following formula

Slope = (y2-y1)/(x2-x1)

Where, (x1,y1) and (x2,y2) are any given points on the line

The points used can vary however I have chosen (0,-4) and (-2,0)

Defining our variables we get (x1,y1) = (0,-4) and (x2,y2) = (-2,0)

So we have x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

We now plug this in to the formula

Slope = (y2-y1)/(x2-x1)

==> plug in x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

Slope = (0-(-4))/(-2-0)

==> remove parenthesis

Slope = (0+4)/(-2-0)

==> simplify addition and subtraction

Slope = 4/-2

==> simplify fraction

Slope = -2

So the slope or "m" is -2

Plugging the y intercept and slope into y intercept form

Again we have y = mx + b

m = slope so m = -2 and b = y intercept so b = -4

Plugging this in, we acquire y = -2x - 4

Which of the following equations is equivalent to 4x + 2y = 12? A. 2y = -4x + 12 B. y=-2x + 6 C. y = 2X - 6 D. y = 8x + 24

Answers

Let's find the equivalent equation to:

4x + 2y = 12

2y = 12 - 4x

Dividng by 2 at both sides:

2y/2 = 12/2 - 4x/2

y = 6 - 2x

We can see that choices B and C are not correct because the signs.

If we multiply by 2 at both sides, we have:

2y = 12 - 4x

We can see that if we change the order at the right side of the equation, we have:

2y = -4x + 12

I think now you are ready to select the correct choice, Deppreso.

Annie purchased a season pass for the new aquarium at a cost of $110. if she uses the pass 10 times this year , what is the unit rate in cost per visit?​

Answers

If she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

In the given question,

Annie purchased a season pass for the new aquarium at a cost of $110.

If she uses the pass 10 times this year then we have to find the unit rate in cost per visit.

We have to find the unit rate.

Unit rate means finding the value of one object, that means we have to find the cost of one visit.

The cost of season pass is $110.

She visit aquarium 10 times.

We find the unit rate cost per visit by dividing the total cost of season pass  for the new aquarium by total times she visits in the new aquarium.

10 times = $110 cost

Divide by 10 on both side

10/10 times = $110/10 cost

1 times = $11 cost

Hence, if she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

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Students in mrs smiths class must complete at least 40 math problems for homework every week. the table shows the progress of four students on Wednesday. Which list shows the names of students in order from the greatest amount of homework complete to the least amount of homework completed? A Katie, Jonah, D’Angelo. Grace B D’Angelo, grace, Jonah, Katie C Katie, Jonah, grace, D’Angelo D Jonah, Katie, D’Angelo, grace

Answers

Answer: the anwser is B

Step-by-step explanation:

Answer:

Grace, jonah,D'angelo,then Katie.

First,Grace because she finished it 100%

Next,it's Jonah because he finished it 2/3 the way meaning about around 70% of the work.

Then, D'angelo because he completed five more than Katie.

Last,Katie because she was less than jonah.She had 40 but D'angelo had five more than her

F(2-k)=8-5(2-k) evaluating functions

Answers

Answer:

f = 5k−2/−k+2

Circle describe and correct each error.X-int = (0,-2)Y-int = (-4,0)

Answers

First, we solve for y in the expression:

[tex]\begin{gathered} 4x+2y=-8\Rightarrow2y=-4x-8 \\ \\ \Rightarrow y=-2x-4 \end{gathered}[/tex]

So, the y-intercept is (0, -4).

The error is that you are given the wrong y-intercept and the wrong x-intercept; they are swapped in the place of writting.

Enter the value of 5.6( 7+13)​

Answers

Answer:

112

Step-by-step explanation:

According to pemdas we do what’s in parentheses first and then multiply

5.6(7+13)

5.6(20)

112

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What are the first five terms of the arithmetic sequence defined explicitly by the formula an=14 - 3n

Answers

Answer:

11, 8, 5, 2, -1

Option D is correct

Explanation:

The given arithmetic sequence is:

[tex]a_n=14-3n[/tex]

For the first term, substitute n = 1 into the arithmetic sequence

[tex]\begin{gathered} a_1=14-3(1) \\ a_1=14-3 \\ a_1=11 \end{gathered}[/tex]

For the second term, substitute n = 2 into the arithmetic sequence

[tex]\begin{gathered} a_2=14-3(2) \\ a_2=14-6 \\ a_2=8 \end{gathered}[/tex]

For the third term, substitute n = 3 into the arithmetic sequence

[tex]\begin{gathered} a_3=14-3(3) \\ a_3=14-9 \\ a_3=5 \end{gathered}[/tex]

For the fourth term, substitute n = 4 into the arithmetic sequence

[tex]\begin{gathered} a_4=14-3(4) \\ a_4=14-12 \\ a_4=2 \end{gathered}[/tex]

For the fifth term, substitute n = 5 into the arithmetic sequence

[tex]\begin{gathered} a_5=14-3(5) \\ a_5=14-15 \\ a_5=-1 \end{gathered}[/tex]

Therefore, the first five terms are:

11, 8, 5, 2, -1

A sinking fund is established to discharge a debt of $70,000 in 10 years. if deposits are made at the end of each 6-month period and interest is paid at the rate of 9%, compounded semiannually, what is the amount of each deposit? (round your answer to the nearest cent.)

Answers

The amount of each deposit is $210000

What is compound interest?

Compound interest is when you reinvest your income. Compound interest distinctively means "interest on interest" and is the reason so many investors are so successful.

The computation of the each deposit is shown below:

Given that

Future value be $70,000

Time period = 10 × 2 = 20

And, the rate = 9% ÷ 2 = 4.5%

Now the formula is as follows

= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1

= ($70,000 × 4.5) ÷ (1 + 0.025)²⁰⁻¹

= $315,000 ÷ 1.5

= $210000

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If a loan is taken out for $278 at 10% and costs the borrower $174.12 in simple interest, how many years was the loan for? ROUND YOUR ANSWER TO THE NEAREST WHOLE YEAR

Answers

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

[tex]278\cdot\frac{10}{100}=27.8[/tex]

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

[tex]\frac{174.12}{27.8}=6.26\approx6[/tex]Then, the loan was for 6 years

If z=13 which equation is true?

A) 3z + 16 = 55
B) 2(23 + z) = 70
C) 3( 18 + z) = 85
D) 2z - 5 = 20

Answers

The answer is letter A
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