Answer:
The central angle measure of the sector in radians is 
.
Step-by-step explanation:
A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.
The area of a sector when the central angle is in radians is given by
where
r = radius
θ = central angle in radians
We know that the area of the sector is 
and the radius is 6 cm. Applying the above formula and solving for the central angle (
) we get that
Set g(x) as y. Then you get y = 2x^3 + 3. Switch Y with X and you get x = 2y^3 + 3. Now you can put everything with x getting, y = cuberoot[(x-3)/2]
(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)
Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3
Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
Answer:
0
Step-by-step explanation:
Slope is Rise over Run (y / x).
For 2 points, you would take the difference of y-coordinates and divide by the difference of x-coordinates.
(Y1 - Y2) / (X1 - X2)
Since both y-coordinates are the same (ten minus ten), your slope is zero (zero divided by anything is zero).
