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Maksim231197 [3]
2 years ago
14

What are the scale factor and the center of dilation?

Mathematics
1 answer:
tekilochka [14]2 years ago
5 0

Answer:

Scale factor 2.5, Center of dilation is (-8,3)

Step-by-step explanation:

A dilation is a non rigid transformation. We know that a center of a transformation expect translations mean that it dont matter what change we do to the the pre image to get the new image. The center will stay where it was at all times. Looking at the figure, between the pre image and new image the only point that stays is Point K and point K' . so K is the center of the dilation and that at (-8,3).. Since the pre image is smaller than the new image we know the image scale factor is greater than 1 so the scale factor is expanding. To find the scale let look point K and L we need to find how far are they away from each other and which in this case is 4. Now let look at point K' and Point L'. There distances is 10. You can do the same for K and J. K and J distance is 2 units right and 4 units down. K' and J' distance is 5 units right and 10 units down.

Using this let set a proportion of one point from bigger figure to smaller figure. Distance in current image/ Distance in pre image. Let use K and J so it will be 10/4=2.5 so the scale factor is 2.5

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7 1/3 ∙ x = 1.6 ÷ 6/11<br><br> x = __ <br><br> Please Help!
ANTONII [103]

Answer:

x= 0.4

Step-by-step explanation:

We need to solve and find the value of x

7 1/3x = 1.6 ÷ 6/11

Converting mixed fraction into improper fraction

22/3 x = 1.6 ÷ 6/11

Converting ÷ sign by X and reciprocating the term

22/3 x = 1.6 * 11/6

Now divide both sides by 3/22

x = 1.6 * 11/6 * 3/22

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x = 1.6/4

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S0, x= 0.4

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Find the ratio of the following to its lowest term with whole solution
Sauron [17]
Hey, we just need to find the gcf for them.

A) 3:4
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So each of these statements are talking about the square footage of land per person. Let's go and find it!

First off, let's find the number in each building of the original complex:
280 people / 4 buildings

Each building has an equal number of residents. So just divide:
280/4 = 70.

So 70 residents per building

Now consider the fact that once a new building is built, another 70 people will move in.
280 + 70= 350

350 people total.

Then lets look at the plot of land
Originally, there are 200,000 square feet of land for the 4 buildings. Then after the expansion, the plot of land will be:
200,000 + 200*200
= 200,400

Go back to the question. What's the effect of the expansion in terms of square feet of land per person?
Divide!
200,400 / 350
Approximately = 572.57 square feet

Then since it's being compared to the amount each resident had before the expansion, do the same thing with the corresponding numbers:
200,000 / 280
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So how much will each person's land decrease?
714.29 - 572.57 approximately = 141.72 square feet.

The answer is the first choice!

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3 years ago
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