A line is drawn on a coordinate plane so that it is parallel to the x-axis and passes through the point (4.6). Which statement identifies equation and slope of this line?

Answer:

Explanation:

Given:

<1=123.9°

<3=56.1°

Based on the given figure, the angles formed a straight line (Ex. <3 and <4). Angles on a straight line add up to 180°. So,

For <3 and <4:

We plug in what we know.

For <2 and <1:

We plug in what we know.

Therefore, <2 = 56.1° while <4= 123.9°.

Answer:

480

Explanation:

First, we need to standardize the score on Exam A. It can standardize as

Replacing score = 720, mean = 700, and standard deviation = 25, we get

Then, to do equivalently well on exam B, we need a standard value equal to 0.8. So, the score can be calculated as

Replacing z = 0.8, standard deviation = 100 and mean = 400, we get

Therefore, the answer is 480

5/8 of a bucket of water

Initial amount poured = 1/8 bucket of water

An addition of 1/2 bucket into the the pool

Total amount of water in the pool = 1/8 bucket of water + 1/2 bucket of water

Total water in the pool is 5/8 of a bucket of water

Data:

T=Total price of the scooter: $412

M=Every month he pays: $42

t= number of payments

Both triangles are similar; while the first is a reduction, the second is an enlargement.

Let's begin by listing out the information given to us:

A(5,6), B(5,10), C(8,3)

A scale factor of 1 / 3 means the triangle will be smaller (reduction):

[tex]$$\begin{gathered}P=(2,3) \\A B=4 \Rightarrow A^{\prime} B^{\prime}=\frac{4}{3} \\B C=\sqrt{58} \Rightarrow B^{\prime} C^{\prime}=\frac{\sqrt{58}}{3} \\A C=\sqrt{18} \Rightarrow A^{\prime} C^{\prime}=\frac{\sqrt{18}}{3}=\sqrt{6}\end{gathered}$$[/tex]

A scale factor of 2 means the triangle will be bigger (enlargement):

[tex]$$\begin{gathered}A^{\prime \prime}=2 A=2(5,6)=(10,12) \\B^{\prime \prime}=2 B=2(5,10)=(10,20) \\C^{\prime \prime}=2 C=2(8,3)=(16,6)\end{gathered}$$[/tex]

Both triangles are similar; while the first is a reduction, the second is an enlargement

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The equation of a line is given by:

where m is the slope and b is the y intercept. From the graph we notice that b=1. To find the slope we need to use the formula:

Using the first two points on the graph (0,1) and (1,3) we have that the slope is:

Plugging the values in the first equation we have that the equationwe are looking for is:

ANSWER

EXPLANATION

We want to rewrite the division problem into a multiplication one.

To do this, we have to change the division sign to a multiplication sign, and then, we invert the fraction on the right.

That is:

That is the answer.

Given:

Expand:

Simplify:

Therefore, the answer would be D. 2√3.

A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

An equation is considered linear if it is in the form of y = mx+b where m is the slope of the equation and b is the y-intercept.

Notice how here, x can only be to the power of one. In here, the conditions are just simply m,b∈R.

Some examples include y = 5x+4, y = x−2, y = 0, and even some like

x = 1.

As you can see here, all of the following equations are represented using a straight line.

An equation is considered “non-linear” when it is not graphed using straight lines. Some examples include y = 3x2+1, y = 2x3−3, y = x5+43.

In conclusion, a linear equation will always be in the form of y = mx+b, where m is the slope of the equation, and b is the y-intercept of the equation.

Hence the answer is A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

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We will have the following:

First, the probability of getting the first t-shirt white will be:

And the probability of getting the second t-shirt white will be:

Now, the probability of getting the two white t-shirts one after the other will be:

So, the probability of getting the two white t-shirts one after the other is 1/6.

The Solution is given by:

This means that:

Hence option C is correct.

a) 12 goats ate 3 pizzas. To find goat per pizza, dividing the number of goats by the number of pizzas:

b) 20 banks are robbed for a total of $50,000. To find the money per bank, divide the total money by the number of banks.

c) In 86 years, 9 drops have formed. To find years per drop, divide the years by the number of drops.

d) 3 hippos eat 5 pumpkins

To find the number of pumpkins per hippo, divide 5 by 3.

We can see here two triangles, and we can notice the following:

1. Since H is the midpoint of the segment EG, we can say that EH and HG are congruent segments.

2. Since these two triangles, namely, EFH and GFH share the same segment (HF), this side is also congruent to these two triangles.

3. Since EH is congruent to HG, and FH is congruent to itself, then EF is congruent to GF.

4. Angle E is congruent to angle G.

Therefore, we can say that:

Since we have that:

a. EF is congruent to GF

b. EH is congruent to GH

c. Angle E is congruent to angle G

We can conclude that the congruence rule, in this case, is SAS (Side-Angle-Side), because if two sides and the included angle are congruent to the corresponding parts of the other triangle, the triangles are congruent.

We also see that the three sides are congruent (and in this case, we can also conclude that the triangles are congruent by the rule SSS (side-side-side).

Likewise, we can also conclude that the triangle EFH is congruent to triangle GFH.

Answer:

2 2/3

Explanation:

If 4/6 is divided by 3/12, we write the mathematical expression as:

To obtain the quotient, we follow the steps below:

Step 1: Change the division sign to multiplication and take the inverse of the fraction after the division sign.

Step 2: Reduce the terms where possible.

The quotient is 2 2/3.

we have the equation

y=-(1/2)x+7

Remember that

To graph a line we need al lest two points

so

Find the intercepts

step 1

Find the y-intercept (value of y when the value of x is zero)

For x=0

y=-(1/2)(0)+7

y=7

y-intercept is (0,7)

step 2

Find the x-intercept (value of x when the value of y is zero)

For y=0

o=-(1/2)x+7

(1/2)x=7

x=14

x-intercept is (14,0)

step 3

Plot the intercepts and join them to graph the line

using a graphing tool

see the attached figure

please wait a secon to draw the line

The equation is:

So this is a parabola, so we can graph it with the vertex and the intercections with the x axis

So the vertex is in the coordinat (2,3) becuase of the transformation of -2 in the x axis and +3 in the y axis so the vertex is (2, 3)

now for the interception with the x axis we replace y = 0 and solve for x so

we open the parenthesis like:

A)

The base of the figure A is;

Here the base is in the shape of triangle.

A) Triangle

B)

The solution must be insige the red grind so we can see that the only point inside this area is the coordinate (-3, 1) so the answer is D

Answer:

Its in the picture below

The range of the function is the values of y-coordinates of the ordered pairs

Since the function is

Then the values of y-coordinates are

Then the range should be

The 3rd choice

Perpendicular Bisector Theorem:

In the shown figure, the line segment AB is bisected by line CM since it is given in the question.

Which simply means that the line CM bisected line AB at 90°.

So, that means we have two Right angled triangles, these are triangle AMC and BMC

This also means that the line CM is equal for both triangles since it is common to both.

Initially, the retailer sells 162,147 regular cell phones

The retailer stimates, that every year sales will fall a 17%

meaning that after one year, sales will be:

162,147 * (1-0.17) = 134582.01

then, after 2 years, sales will be:

134582.01 * (1-0.17) = 111703.0683

which is the same as

in that way, we can create the following formula:

where y is time in years,

now, if we replace y = 10 we can obtain the solution we are looking for

rounding to the nearest whole number: 25,159

ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

We can calculate point B, using the following equations obtained taking into account the above:

The correct answer is: d. (−4, 10)

Given:

There is a triangle given as

Required:

We want to find the sutiable form that show that

and also complete the square

and find the value of p and q

Explanation:

The area of triangle is

hence proved for a

Now for second

now compare with

we get

Final answer:

p=3 and q=68

we have

f(x)=2x^4-4x^2

REmember that

The Leading Coefficient Test is the test which enables you to discover thebehavior of the graph in terms of rising and falling. This test utilizes the leading coefficientand whether the degree is odd or even to determine the behavior of the curves. The test goes as follows:

In this problem the leading coefficient is positive and even

Given the geometric sequence:

The common ratio will be:

The general rule of the geometric sequence will be:

so, a7 will be:

And an will be:

Notice that:

1.- The number of viewers in millions of show A can be computed using the following expression

which is not a linear equation.

2.- The number of viewers of show B can be computed using the following expression:

which is a linear expression.

Now, after 6 years, show A will have:

millions of viewers and show B will have

viewers.

Answer:

The function for Show A is nonlinear.

The function for Show B is linear.

Show B will have more viewers.