a man borrowed $2500 from his wife. The next day,he borrowed another $2500 from his wife. He later asked the wife how much he is
2 answers:
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Answer:
The center of this circle is at . The radius of this circle is
.
Step-by-step explanation:
A circle with center and a radius of
(
) could be expressed as:
.
(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)
Rearrange this equation using binomial expansion to match the equation given in this question:
.
.
The equation in this question is:
.
Match up the coefficients of and
in the two equations.:
- Coefficient of
:
.
- Coefficient of
:
.
Thus, and
.
The constants of the two equations should also match up:
.
Substitute in as well as
and solve for
:
.
(since
.)
Therefore, the center of this circle is . The radius of this circle is
.