a circle is centered at the point (-7, -1) and passes through the point (8, 7).the radius of the circle units. the point (- ) lies on this circle.
( fill in the blanks)

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

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

we have

(-7, -1) and (8, 7)

substitute

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

where

(h,k) is the center

r is the radius

substitute the values

Substitute the value of x=-15 in the equation

square root both sides

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.