Answer:
<h3>2√3</h3>
Step-by-step explanation:
The standard equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the center of the circle
r is the radius of the circle
Given the equation (x - 7)^2 + (y + 13)^2 = 12
On comparing;
r² = 12
Take the square root of both sides
√r² = √12
r = √12
r = √4*3
r = 2√3
Hence the radius of the circle is 2√3
Answer:
f(x) = -(x+2)(x-1)
Step-by-step explanation:
We know the zeros are at 1 and -2
f(x) = a *(x-b1)(x-b2) where b1 and b2 are the zeros and a is a constant
f(x) =a(x-1)(x- -2)
f(x) =a(x-1)(x+2)
We know that a must be negative since the parabola opens down so
The only choice is choice D where a = -1
f(x) = -(x+2)(x-1)
Answer:
q = 270 degrees + 360n where n is an integer
Step-by-step explanation:
2 sin q + 3 = sin q + 2
Subtract sin q from each side
2 sin q - sin q + 3 = sin q + 2
sin q + 3 = 2
Subtract 3 from each side
sin q +3-3 = 2-3
sin q = -1
Take the inverse sin of each side
sin ^-1 (sin q) = sin^-1 (-1)
q = 270 degrees + 360n where n is an integer
