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snow_tiger [21]
2 years ago
5

For

Mathematics
1 answer:
Dmitry [639]2 years ago
8 0

Answer:

8 in^2.

Step-by-step explanation:

F = P * A

22 = 2.75 * A

A = 22/ 2.75

A = 8 in^2.

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1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
2 years ago
Item 16 a dentist's office and parking lot are on a rectangular piece of land. the area (in square meters) of the land is repres
Lyrx [107]
For this case, the first thing we should do is use the following equation:
 x ^ 2 + x-30
 Here, we substitute the value of x = 20
 We have then:
 (20) ^ 2 + (20) -30 = 390 m ^ 2
 Answer:
 
the area of the land when the length of the dentist's office is 20 meters is:
 
390 m ^ 2
6 0
2 years ago
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