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4 years ago

Simplify -6²/ 12 - 2(-7)

Mathematics

1 answer:

Rasek [7]4 years ago

6 0

The simplify is 11, -6²/ 12 - 2(-7)=11

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

Area of the small triangle

$A=\frac{1}{2}(2)(4)=4\ units^2$

Area of the large triangle

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

Please help I’m terrible at math scale factors

zysi [14]

First one is false, second one is true.

6 0

3 years ago

Read 2 more answers

How can you change 9x-7y=-2 in slope intercept form

Anvisha [2.4K]

Slope-intercept form gives is $y=mx+b$ where $m$ is the slope of the line and $b$ is the y-intercept.

You can see that in slope-intercept form the $y$ term is alone. In order to convert $9x-7y=-2$ into slope intercept form, you must isolate the y term.

First we'll subtract 9x from each side.
$-7y=-9x-2$

Now we can divide both sides by -7.
$y= \frac{-9x-2}{-7}$

Now we can simplify it.
$y= \frac{9}{7}x+ \frac{2}{7}$

4 0

3 years ago

Sandy bought 12 7/8 pounds of peaches to make jam. She and her mother ate 0.75 of a pound of the peaches before making the jam.

Verizon [17]

Answer: 2.750

Step-by-step explanation: make 12 7/8 into a decimal then subtract 0.75 to 12.875 than you have 12.125 now you subtract 9. 375 to 12.125 and you have your answer I hope this is right

5 0

3 years ago

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PLEASE HELP ME ITS DUE TONIGHT!!

notka56 [123]

Answer:

Horizontal Shift .. vertical shift ..stretched .

Step-by-step explanation:

Horizontal Shift - right 6 units

Vertical Shift - Up 2 units

6 0

4 years ago