Let's factor the top and the bottom.
Top factors 4x + 20 = 4(x + 5)
Bottom x^2 + 2x - 15 = (x + 5)(x - 3)
The gcf is the largest value that will go into both the top and the bottom. In our problem the ONLY thing that will go into top and bottom is x + 5 so that is your GCF. (c)
Answer:
J+2J=12 so 3J=12 so J=4
Step-by-step explanation:
Use J to represent Jake's miles.
We know that Gloria's miles (G) is twice J, so G=2J
We also know that Jake and Gloria together ran 12 miles.
So we know, J+2J=12 or 3J=12 meaning J=4
So Jake runs 4 miles, and since Gloria is two times that she ran 8 miles.
Answer:
B. -2
Step-by-step explanation:
-6x = 5x + 22
Put the like terms together, so subtract 5x from the right side. This will result in the new equation, -11x = 22
Now, divide by -11. This will result in the final equation, x = -2
Answer:
See below
Step-by-step explanation:
a = 15 sqrt 2 sin 45
= 15 sqrt 2 * sqrt( 2 ) /2 = 15 * 2 /2 = 15
sin 60 = a/c
sqrt(3)/2 = 15/c
c = 15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3
A true because this is an example of the Associative Property by moving the parentheses but having the same outcome.
