Center (–6, –8), that passes through (0, 0)

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

The radius of the circle is the distance from the center to the endpoint. To determine the radius of the circle, we would apply The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Therefore,

Radius = √(0 - - 6)² + (0 - - 8)²

Radius = √6² + 8² = √100 = 10

A circle is the set of all points in a plane equidistant from a fixed point called the origin or center.

The center of the circle is (- 6, - 8)

The formula for determining the equation of a circle us expressed as

(x - h)² + (y - k)² = r²

Where

r represents the radius of the circle

h and k represents the x and y coordinates of the center of the circle. Comparing with the given points,

h = - 6 and k = - 8

Radius, r = 10

Substituting into the formula, it becomes

(x - h)² + (y - k)² = r²

(x - - 6)² + (y - - 8)² = 10²

(x + 6)² + (y + 8)² = 100

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi