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>
<em />
<em />
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:30
Step-by-step explanation:
Subtract 3 from both sides
simplify 12 - 3 to 9
break down the problem into these two equations
1 + p = 9 and -(1 + p) = 9
solve the first equation 1 + p = 9 and that would be 8 since 1 + 8 = 9 is true.
solve the second equation -(1 + p) = 9 and just simplify brackets and add 1 to both sides then add 9 + 1 and lastly multiply both sides by -1 and p = -10.
Gather both solutions
Answers: p = -10, 8
1:3, Because you can simplify the numbers by dividing by two.
when x = -14
f(-1) = 4^-1 = 1 / 4^1 = 1/4
Answer
1/4 or 0.25