A diameter of a circle has endpoints p(-10, -2) and q(4, 6)
a. Find the center of the circle
b. Find the radius. If your answer is not an integer, express it in radical form
c. Write an equation for the circle

A diameter of a circle has endpoints p(-10, -2) and q(4, 6).

a,  The center of circle is the midpoint of diameter:

O = ((px + qx)/2, (py + qy)/2) = ((-10 + 4)/2, (-2 + 6)/2) = (-3, 2)

b, Radius = Oq

                = sqrt((Ox - qx)^2 + (Oy - qy)^2)

                = sqrt((-3 - 4)^2 + (2 - 6)^2)

                = sqrt(7^2 + 4^2)

                = sqrt(65)

Hope this helps!

:)

A) (-3,2)

B) sqrt(65)

C) (x + 3)² + (y - 2)² = 65

Step-by-step explanation:

Centre: midpoint of the diameter

(-10+4)/2, (-2+6)/2

(-3,2)

Radius = diameter/2

sqrt[(6--2)² + (4--10)²]/2

sqrt(65)

Equation:

(x - -3)² + (y - 2)² = (sqrt(65))²

(x + 3)² + (y - 2)² = 65

i am unable to solve this problem

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!