Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio

1 answer:

3 0

Hi !

<span><u>Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio ?</u></span>

$l=9\;m\\L=x$

$So\;Perimeter=2(9+x)=18+2x=40\;m\\\\18+2x=40\\2x=40-18\\2x=22\\\\x=\dfrac{22}{2}\\\\\boxed{x=L=11}$

The lenght of Judy's Patio is 11 meters.

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The center of a circle is 5 units below the origin, and the radius is 10 units. what is the equation of the circle?

levacccp [35]

Answer:

x² + (y + 5)² = 100

Step-by-step explanation:

If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).

Using the equation of a circle with center (h, k)

(x - h)² + (y - k)² = r² where r = radius of the circle.

Given that r = 10 units, and substituting the values of the other variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - 0)² + (y - (-5))² = 10²

x² + (y + 5)² = 100

which is the equation of the circle.

6 0

3 years ago

Read 2 more answers

2/5 times 2/3 (28 points)

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