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NeX [460]
3 years ago
12

He unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point (4, 0).

Mathematics
1 answer:
Advocard [28]3 years ago
5 0
We know that

if the dilated circle <span>passes through the point (4, 0)
so
the new radius is the distance from the origin to point (4,0)
d=</span>√[(4-0)²+0²]-----> d=√16------> d=4 units

the new radius  is 4 units
original radius is 1 units

[new radius]=[scale]*[original radius]
scale=new radius/original radius-----> scale=4/1-----> 4

the answer is
<span>the scale factor of dilation is 4</span>
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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
Brilliant_brown [7]

-2<em>x</em> + 6<em>y</em> = -38

3<em>x</em> - 4<em>y</em> = 32

To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.

3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114

2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64

Add the equations.

-6<em>x </em>+ 18<em>y</em> = -114

6<em>x</em> - 8<em>y</em> = 64

+_____________

0 + 10<em>y</em> = -50

10<em>y</em> = -50

<em>y</em> = -5

Substitute -5 for y into one of the original equations to find x.

3<em>x</em> - 4<em>y</em> = 32

3<em>x</em> - 4(-5) = 32

3<em>x</em> + 20 = 32

3<em>x</em> = 12

<em>x</em> = 4

Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.

-2<em>x</em> + 6<em>y</em> = -38

-2(4) + 6(-5) = -38

-8 - 30 = 38

38 = 38


3<em>x</em> - 4<em>y</em> = 32

3(4) - 4(-5) = 32

12 + 20 = 32

32 = 32

Answer:

<em>x</em> = 4 and <em>y</em> = -5; (4, -5).

8 0
3 years ago
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Answer:

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"Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the
Liono4ka [1.6K]

Answer:

  1.92, 3.84, 4.8, 5.76

Step-by-step explanation:

In the given set, the sum of the last two numbers is 5+6 = 11; the sum of the first two numbers is 2+4 = 6. The difference between these sums is 11-6 = 5.

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URGENT!! Please answer this! (In your own words) The best answer gets BRAINLIEST!
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Answer:

The area is 97.5.

Step-by-step explanation:

The formula for finding the area of a rectangle is Length x Width.

At the bottom it says 5 ft and 10 ft. 10 + 5 = 15, therefore the length is 15.

On the right it says 12 ft, therefore the width is 12 ft.

Since the formula is Length x Width, I did 15 x 12, I attached a file below showing the multiplication process.

15 x 12 = 180.

Therefore, the area of the rectangle is 180.

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So, the unshaded areas needed to be subtracted from the rectangle.  

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The two sides are the same length, making the height for the other side 12 as well.

According to the rectangle, 3 feet does not belong there.

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Now, the base is 5 ft and the height is 9 ft.

The formula is base x height divided by 2.

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So, I did 180 - 60 - 22.5 = 97.5

Therefore, the area for the shaded part of the rectangle is 97.5.

I sincerely hope this helped! Have a great day, and good luck! :) :)

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2 years ago
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