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3 years ago

Which equation is represented by the table ?

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer:

The correct answer is B. b=3a + 2

Step-by-step explanation:

Plug in the values from column A into each equation and find which one works. In this case, the only option that works is B.

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What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$

Also,

$\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}$

Dividing A'C' by AC, we have,

$\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}$

Thus, $\frac{1}{3}$ is the dilation factor

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3 years ago

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The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula

blsea [12.9K]

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3 years ago

What is 6:12 in simpiest form?

g100num [7]

Answer:

6:12=1:2

Step-by-step explanation:

as we will cut 6:12 by 6 . please mark me as brainliest and follow me

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If five notebooks cost $5.25,How much would 3 notebooks cost?? Pls help

zhenek [66]

Hi!

To answer this, first we have to find how much 1 notebook costs. We can do this by dividing:

Cost/amount = ?

Or in this case

5.25/5 = 1.5

Now we have to find how much 3 notebooks cost. We can do this by multiplying:

Cost of one x amount = ?

Or in this case

1.5 x 3 = 3.15

The answer is 3.15

Hope this helps! :)

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3 years ago

In how many ways can a gymnastics team of 4 be chosen from 9 gymnasts? Type a numerical answer in the space provided. Do not typ

vovangra [49]

There are 126 ways to choose a team of 4 gymnasts from a set of 9 gymnasts.

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3 years ago