Write the equation of the circle with center (3,-2), and passes through the point (0,2).

(x - 3)² + (y + 2)² = 25

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre to a point on the circle

To calculate r use the distance formula

r = √(x₂ - x₁)² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2)

r = = = = 5

(x - 3)² + (y + 2)² = 25 ← equation of circle

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

12.5 feet

step-by-step explanation: