Which equation represents a circle that contains the point (-2,8) and has a center at (4,0)?

distance formula: (x2-x1)^2 + (y2-y1)^2

(answer choises in photo)

The equation of the circle is

Step-by-step explanation:

we know that

The general equation of the circle into center-radius form is equal to

where

(h,k) is the center of the circle

In this problem

substitute

Find the radius

we know that

The distance between the points (-2,8) and (4,0) is equal to the radius

Applying the distance 's formula

so

the radius is equal to

substitute

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i