Answer: 40
Step-by-step explanation:
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:

Answer:
9 pieces
Step-by-step explanation:
28 inches rope cut into 3-inch pieces
There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces
---------
<u>Note:</u>
- The close answer choice is 8
- 28/8 = 3 1/2 or 3.5
- So if cut into 3.5 inch pieces then it is 8 full pieces
- just in case it was typo 3 instead of 3.5
Answer:
x = 177/8
Step-by-step explanation:
First, we must get rid of the fraction by multiplying 8 by both sides.
8 · 1/8(8x + 15) = 24 · 8
1(8x + 15) = 192
8x + 15 = 192
Then we simplify. First subtract 15 from both sides.
8x + 15 - 15 = 192 - 15
8x = 177
Then divide 8 from both sides.
8x/8 = 177/8
x = 177/8
<span>(15/4)*z + 12?... I tried working with different ways on the calculator to get the answer and that might be it.</span>