What is the equation of the circle with center (1, −1) that passes through the point (5, 7)?
A) (x + 1)2 + (y + 1)2 = 36
B) (x + 1)2 + (y − 1)2 = 52
C) (x − 1)2 + (y + 1)2 = 80
D) (x − 1)2 + (y − 1)2 = 100

Option C

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center of the circle to any point on the circumference of the circle is equal to the radius of the circle

we have

(1,-1) and (5,7)

the formula to calculate the distance between two points is equal to

substitute the values

step 2

Find the equation of the circle in center radius form

where

(h,k) is the center

r is the radius

substitute

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500