One of the equations for a circle is (x - h)² + (y - k)² = r² where (h, k) are the center and r is the radius.
So after substitution:
(x + 6)² + (y - 2)² = 100
Notice the equation has the opposite of h and k and 100 is the result of squaring 10.
Answer:
False.
Step-by-step explanation:
5 is the x (horizontal) coordinate and -3 is the y (vertical coordinate)
You would start at the origin and move 5 right and down 3.
Answer:
Step-by-step explanation:
Radius =6 ft
Area of circle = πr²
= 3.14 * 6 * 6
= 113.04 ft²
base = 10.39 ft
height = 6+3 = 9 ft

= 46.76 ft²
Area of the shaded region = area of circle - area of triangle
= 113.04 - 46.76
= 66.28
= 66.3 ft²
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3