Determine the center and radius of the following circle equation:
x^2+y^2-6x-8y+24=0

Center is (3, -4) and radius is 1

Step-by-step explanation:

The standard form of the equation of a circle is x² + y² + 2gx +2fy + c = 0, where center is (-g, -f) and radius = √g² + f² - c

By comparing the 2 equations, 2g = -6, 2f = 8 and c = 24

⇒ g = -6/2 = -3

⇒ f = 8/2 = 4

⇒ c = 24

Center = (-g. -f) = (3, -4)

Radius = √g² + f² - c = √3² + (-4)² - 24

           = √9 + 16 - 24 = √1 = 1

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

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