Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the G.C.F. of 8x-6.

- G.C.F. stands for Greatest Common Factor.
So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:
1, 2, 4, 8, x
-1, 1, 2, -3, 3, -6, 6
So the GCF is:
2
Now, we can also factor it out by placing it outside the parentheses ():
2(4x-3)
See, we factored it out by dividing both terms of the expression by the G.C.F.
Remember this...

Hope this helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students :)
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
Answer:
Step-by-step explanation:
Perimeter of triangle = 4x - 3 + x + 9 + 8
= <u>4x + x</u> -<u> 3 + 9 + 8</u>
= 5x + 14
Area = 

Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is
, then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:


To solve for
, we plug in the coordinates of the point that we know the line runs through,
:




Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:

Answer: 1 1/4feet
Step-by-step explanation:
From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.
The depth of the water after 5 hours will be:
= 5 - 3/4(5)
= 5 - 15/4
= 5 - 3 3/4
= 1 1/4 feet