Note that what we want is to compress any point (a, b) in the parent function, to (a, b/4).
(a, b) is a point of the graph of the function

, thus we can rewrite the point as:

.
This point is compressed to

.
This means that the function we are looking for is

.
Answer: <span>t(x)=1/4x^7
</span>
The equation of a line can be expressed in slope intercept form as y = mx + b where m is the slope and b is the y-intercept. Horizontal lines have a slope of 0, so the equation is simply y=b.
The y value of the point given is -5, so the answer is y = -5.
Answer:
C. plane HJG
Step-by-step explanation:
hope this helped :-)
Answer:
Volume is 718 cm^3
Step-by-step explanation:
We need to get the radius of cylinder A
From the base area,
we have that;
A = pi * r^2
18 = 3.142 * r^2
r^2 = 18/3.142
r^2 = 5.73
r= √5.73
r = 2.39
If two shapes are similar, we have the ratio of their corresponding sides equal;
Thus;
2.39/5 = x/10
x = (10 * 2.39)/5
x = 4.78 cm
To get the volume, we use the formula
V = pi * r^2 * h
V = 3.142 * 4.78^2 * 10
V = 717.8 cm^3
This is approximately 718 cm^3
Answer:
3. x= 20.1
4. x = 22.0
Step-by-step explanation:
SohCahToa. S= sin, C= cos, T=tan.
o = Opposite (the side on the other side of the given angle, also referred to as theta.)
h = Hypotenuse (the side on the other side of the right angle, represented as the square thing.)
a = Adjacent (side next to the given angle.)
3. We have opposite = x, adjacent = 24. We can use tan (Toa.)
tan(40º) = x/24 Multiply both sides times 24.
x = 24*tan(40º) Put into calculator
x = 20.1
4. We have adjacent = 12, hypotenuse = x. We can use cos (Cah.)
cos(57º) = 12/x Multiply both sides by x
x*cos(57º) = 12 Divide by cos(57º)
x = 12/cos(57º) Put into calculator
x = 22.0