Hello from MrBillDoesMath!
Answer: 104x^2 + 166x + 66
Discussion:
The area of a rectangle is given by "length" * "width". For us the formula becomes
(13x + 11) * (8x+6)
or
13x (8x +6) + 11 * (8x + 6) =
(13x * 8x + 13x* 6) + ( 11*8x + 11*6) =
(104x^2 + 78x ) + (88x + 66) =
104x^2 + (78x + 88x) + 66 =
104x^2 + 166x + 66
Thank you,
MrB
Answer:
y=-\frac{5}{3} x+\frac{10}{3} or what is the same: 
Step-by-step explanation:
First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: 
Now we use this slope in the general form of the slope- y_intercept of a line:

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

Therefore, the equation of the line in slope y_intercept form is:

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
Answer:
{x,y} = {-1,-10/7}
Step-by-step explanation:
The answer you are looking for is
.
Explanation:
4(4x−8)+4(3x−7)=7(2x+5)+6
Step 1: Simplify both sides of the equation.
4(4x−8)+4(3x−7)=7(2x+5)+6
(4)(4x)+(4)(−8)+(4)(3x)+(4)(−7)=(7)(2x)+(7)(5)+6(Distribute)
16x+−32+12x+−28=14x+35+6
(16x+12x)+(−32+−28)=(14x)+(35+6)(Combine Like Terms)
28x+−60=14x+41
28x−60=14x+41
Step 2: Subtract 14x from both sides.
28x−60−14x=14x+41−14x
14x−60=41
Step 3: Add 60 to both sides.
14x−60+60=41+60
14x=101
Step 4: Divide both sides by 14.
14x
14
=
101
14
x=
101
14