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kow [346]
2 years ago
14

Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be co

vered. (The four corners are squares.)
The area that needs to be covered is


___ ft2.

Mathematics
1 answer:
Aleks [24]2 years ago
3 0

Step 1: Find the total area. Since it is a square all the sides are 12 ft so multiply 12 by 12

12 x 12 = 144

^^^This is the total area including the area around the pool. We just need the are of the pool

Step 2: Outside of the pool there are four little 2 ft by 2 ft squares that aren't part of pool, and therefore won't need to be covered. The area of these 2 ft by 2 ft square is 4ft (2 times 2 is 4). Since there are 4 of these squares we multiply 4 by 4 to get 16. This means that 16 ft of the 144 ft we found previously are not part of the pool and we must subtract 16 from 144 to get the total pool area

144 - 16 = 128

This means that the area of the pool is 128 ft

Hope this helped and made sense! Let me know!

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Step-by-step explanation:

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Y is 1/4 of x. Divide by 4

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Answer:

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Ber [7]
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What is the coordinates of the center of an ellipse defined by the equation 16x^2 + 25y^2 + 160x - 200y + 400 = 0 ? Please give
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16x^2 + 25y^2 + 160x - 200y + 400 = 0     Rearrange and regroup.

(16x^2 + 160x) + (25y^2 - 200y ) = 0-400.     Group the xs together and the ys together.

16(X^2 + 10x) + 25(y^2-8y) = -400.     Factorising.

We are going to use completing the square method.

Coefficient of x in the first expression = 10.

Half of it = 1/2 * 10 = 5. (Note this value)

Square it = 5^2  = 25.     (Note this value)


Coefficient of y in the second expression = -8.

Half of it = 1/2 * -8 = -4. (Note this value)

Square it = (-4)^2  = 16. (Note this value)


We are going to carry out a manipulation of completing the square with the values

25 and 16.  By adding and substracting it.


16(X^2 + 10x) + 25(y^2-8y) = -400

16(X^2 + 10x + 25 -25) + 25(y^2-8y + 16 -16) = -400

Note that +25 - 25 = 0.    +16 -16 = 0. So the equation is not altered.

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16(X^2 + 10x + 25) + 25(y^2-8y + 16)  = -400 +16(25) + 25(16)    Transferring the terms -16(25) and -25(16)

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Divide both sides of the equation by 400


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Comparing to the general format of an ellipse.

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Coordinates of the center = (h,k).

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Therefore center = (h,k) = (5,4).

Sorry the answer came a little late.  Cheers.

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