Answer:
(x-8)(x+3)
Step-by-step explanation:
1) Find out what are the factors of the constant?
2) Which of those add to equal the coefficient before the x value?
In this particular equation, we have the constant being 24. The first two factors that come to mind are 6 and 4, and 8 and 3. Since it is -24, we need one of these numbers to be negative.
Let's look at our "b" value, or the coefficient behind the x value, 5. Looking at our factors and thinking of addition (since one of them must be negative, it will most likely be subtraction instead of addition) I can see that
8+ −3=5
which is one of the factors of -24.
This means that we can factor our equation using these numbers, getting us the following:
(x−3)(x+8)
Hope this helped!
Answer:
Step-by-step explanation:
Set up proportions. Make sure length and widths line up!

Then do butterfly method.

Solve for x.

Hope that helped!
Step-by-step explanation:
Recall the Ratio for tan
Tan(theta) = opposite / adjacent
Tan (x) = 9 / 5
solve for x (use Tan^-1(...) )
Answer:
The Factor of expression using the greatest common factor is 
Step-by-step explanation:
Consider the provide expression.

We need to Factor the expression using the greatest common factor.
First look at the coefficients of the variable.
The coefficients are the factor of 2.
Variable p is the greatest common factor in the provided expression.


Hence, the Factor of expression using the greatest common factor is
.
They are perpendicular because when you change 2x+8y=16 to slope intercept form it becomes y= -1/4x+2 and the slope (-1/4) is the negative reciprocal of 4, which is the slope for your other equation.
Please comment if you have any questions :)