X(x + 2) = 120sq units
<span>Set it equal to 0 </span>
<span>x^2 + 2x - 120 = 0 </span>
<span>factor </span>
<span>(x + 12)(x - 10) </span>
<span>For the shorter side: </span>
<span>x - 10 = 0 </span>
<span>x = 10 </span>
<span>Now that you have x, solve for the longer side which we said was represented by </span>
<span>x + 2 </span>
<span>10 + 2 = 12 </span>
<span>Proof </span>
<span>A = L x W </span>
<span>120 = 10 x 12 </span>
<span>120 = 120 </span>
<span>true </span>
<span>Our length is 12 and our width is 10</span>
To solve for r, you would start by subtracting p from both sides.
2m - p = -q/r
Multiply everything by r.
2mr - pr = -q
Factor r out of the left side of the equation.
r(2m - p) = -q
Divide both sides by (2m - p).
r =
.
Given:
and
.
To find:
The value of f(5).
Solution:
We have,

For
,




For
,




For
,




For
,




Therefore, the value of
is
.
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where
is the width and
is the length.
The perimeter of a rectangle is twice its length added to twice its width.

The length is 3 more than the width:

We can now substitute in
as
in the equation
.

Distribute the first terms:

Combine like terms:

Subtract 6 from both sides:

Divide both sides by 4:

Now we know that w = 4. We can now substitute this inside an equation to find
.

Hope this helped!