Answer:
C and E
Step-by-step explanation:
To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.
(X, Y)
Example:
Y = 5X
6 != 5 * 3
We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.
B. (0, 1)
1 != 5 * 0
C. (3, 15)
15 = 5 * 3
D. (4, 2)
2 != 5 * 4
E. (-1, -5)
-5 = 5 * -1
F. (-1, 5)
5 != 5 * -1
* For those who don't know, the != is how to say "not equal to" in computer science.
Answer:
3:1
54:18
Step-by-step explanation:
You can divide both sides by 9 to get one ratio:
27/9:9/9
3:1
You can also multiply both sides by 2 to get another ratio:
27(2):9(2)
54:18
Answer:
Y' = -xsin(2x) + 2cos(2x)
Step-by-step explanation:
For this problem, we will need to use the product rule since you have two terms that contain the variable x.
The product rule is simply as follows:
The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.
Note the derivative of 2x with respect to x, is 2.
Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).
With this in mind, let's find the derivative of our function with respect to x.
Y = 2xcos2x
Y = 2x * cos(2x)
Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)
Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)
Y' = (-x)sin(2x) + 2cos(2x)
So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.
Cheers.
Difference is always positive so it is 5
Answer:
30cm^3
Step-by-step explanation:
Triangular Prism Volume Formula:
V = b x h
b = base
h = height
5 x 6 = 30
30cm^3
