Answer:
The vertex of the function f(x) is at (2,-7)
Step-by-step explanation:
The function is given to be f(x) = |x-2| -7
Now, f(x) = x - 2 - 7 = x - 9 for, (x - 2) ≥ 0, ⇒ x ≥ 2 ............ (1)
and f(x) = 2 - x - 7 = - x - 5 for, (x - 2) < 0, ⇒ x < 2 .............. (2)
Now, solving equation (1) and (2), we get, x - 9 = - x - 5
⇒ 2x = 4
⇒ x = 2
And hence, from equation (1) we get, y = x - 9 = 2 - 9 = - 7
Therefore, the vertex of the function f(x) is at (2,-7) (Answer)
Answer:
188π in^2
Step-by-step explanation:
Surface area of the rocket = surface area of the cone + surface area of the cylinder
Surface area of a cone = πr(r+h^2+r^2)
r = 8/2 = 4 in
4π( 4 + 3^2 + 4^2) =
4π ( 4 + 9 + 16) = 116π in^2
Surface area of a cylinder = 2πrh+2πr^2
(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2
116 + 72 = 188π in^2
Answer:
X= 2, -5
Step-by-step explanation:
Take the root of both sides
Answer:
m = 1 c = -8
Step-by-step explanation:
The answer is 162, because angle L is the center of the circle. Whenever it’s a central angle then it will equal the same amount as it’s arc measure.