If (2,-7) and (8,15) are the endpoints of a diameter of a circle, what is the equation of the circle

To answer this, we need to know 2 things: the radius, and the center.

Let's start with the radius. Since the radius is half the diameter, we need to get the distance between the two given points. We do that with the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates from the points, we can substitute to make it:

d = √((8 - 2)^2 + (15 - -7)^2)

Now, we simplify

d = √(6^2 + 22^2)

d = √(36 + 484)

d = √520

d = 2√130

So, we know the diameter is 2√130, meaning the radius is √130.

Now, to find the center, we use (x1 + x2)/2, (y1 + y2)/2 for the coordinates.

Again, we can substitute.

(2 + 8)/2, (-7 + 15)/2

10/2, 8/2

5, 4

Now we know the center is (5, 4).

Finally, we can find the equation using (x – h)^2 + (y – k)^2 = r^2

(x - 5)^2 + (y - 4)^2 = 130

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer