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MrRa [10]
4 years ago
8

Cirlce B is given the equation, (x-2)^2 + (y-9)^2 = 25. What are the coordinates of the center and the length of the radius?

Mathematics
1 answer:
Leviafan [203]4 years ago
4 0

Answer:

The answer to your question is   Center = (2, 9) Radius = 5 units

Step-by-step explanation:

Data

         (x - 2)² + (y - 9)² = 25

Process

1.- Determine the coordinates of the circle.

The coordinates are the numbers after the x and y just change the signs.

    h = 2   and k = 9

Then the coordinates are (2, 9)

2.- The length of the radius is the square root of the number after the equal sign.

          radius = \sqrt{25}

         radius = 5 units

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Given/equations formed from text:
I: l=w+3
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IV: B=A-30

substitute l in II with I to remove l:
II': A=l*w=
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substitute l in III with I to remove l:
III': B=(l-2)*w=
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substitute A and B from II' and III' into IV:
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insert w=15 into I:
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A) dimensions of full size rectangle are width 15 and length 18
dimensions of reduced size rectangle are width 15 and length 16

B) full size: 15*18=10*18+5*18=180+90=270cm^2
reduced size: 15*16=10*16+5*16=160+80=240cm^2


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