Write the equation of the circle with the given information.
Center: (-8, 0)
Diameter: 5

(x + 8)² + y² = 6.25

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

Here (h, k ) = (- 8, 0 ) and r = 5 ÷ 2 = 2.5 , then

(x - (- 8))² + (y - 0)² = 2.5² , that is

(x + 8)² + y² = 6.25

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.