To solve this problem, we need to know that
arc length = r θ where θ is the central angle in radians.
We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3
Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
<span>2/5g+3h-6 when g=10 and h=6
</span><span>2/5 (10) +3(6) - 6
</span><span>= 4 + 18 - 6
= 16
</span>
Answer:
x=-2 hope this helps! :)
Step-by-step explanation:
first you move the constant to the right
3x+1=-5
then you calculate
3x=-5-1
finally you divide both sides to get x alone
x=-2
As it has a maximum value the coefficient of x^2 will be negative
The vertex will be at (-8,2) so in vertex form it is
y = a(x + 8)^2 + 2
and as it passes through (-7,-1) we have:
-1 = a(-7+8)^2 + 2
-1 = a + 2 so a = -3
answer is y = -3(x + 8)^2 + 2
in standard form this is y = -3x^2 -48x - 190
