Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)? distance formula: startroot (x 2 minus x 1) squared + (y 2 minus y 1) squared endroot

The equation of the circle is

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

where

(h,k) is the center

r is the radius

step 1

Find the radius of the circle

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

we have

(–5, –3) and (–2, 1)

Find the distance

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

substitute

step 2

Find the equation of the circle

we have

substitute

therefore

The equation of the circle is

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.