Answer:

Step-by-step explanation:
<u>Use the Pythagorean Theorem</u>
The equation for the Pythagorean Theorem is 
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9

Let's Plug in the side lengths:

Evaluate 8^2 and 9^2:

Subtract 64 from both sides:


Take the square root of both sides:

___________________________
A)
Kim's age=k
Sister's age=s
k=2s
k+s=36
b)
k=2s
k+s=36
k=36-s
2s=36-s
3s=36
s=12
12*2=24
Kim is 24 and her sister is 12
Hope this helps :)
Answer:

Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

Solve for <em>r: </em>
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Simplify. Thus:

Finally, add:

We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
