What is the vertex?? Please answer QUICK!

Mathematics

1 answer:

astra-53 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

To obtain vertex form from the given equation use the method of completing the square

given 8y + x² = - y² - 181 + 26x

rearrange having the x terms and y terms together

add y² to both sides

8y + x² + y² = - 181 + 26x ( subtract 26x from both sides )

x² - 26x + y² + 8y = - 181

add (half the coefficient of the x/y terms )² to both sides

x² + 2(- 13)x + 169 +y² + 2(4)y + 16 = - 181 + 169 + 16

completing the square on both the x and y terms

(x - 13)² + (y + 4)² = 4 → D

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A rectangular swimming pool that is 10 ft wide by 16 ft long is surrounded by a cement sidewalk of uniform width. If the area of

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We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
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Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
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The value of x is <span>5 feet. </span>