Answer:
Length of arc is 2π
Step-by-step explanation:
Length of arc=¤/360 x 2πr
Where:
¤=angle
r=radius
length of arc=90/360 x 2xπx4
Length of arc=1/4 x 8π
Length of arc=8π ➗ 4
Length of arc=2π
Y=3x-26
explanation: -33+7=-26 so that would be the y-intercept
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = 
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
The rule is:
(a^b)^c=a^(b*c)
In this case:
(9^3)^4=9^(3*4)=9^12
and if you wanted it more simplified you could say:
9^12=(3^2)^12=3^(2*12)=3^24
Answer:
x= 7
Step-by-step explanation:
add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.
plug in 7 for x to make sure you get 117
