Answer:You need to be nice
Or just be you own way
But be nice
Step-by-step explanation:
$109.20 you multiply .40 times 78
You then add that to 78 and get your amasser $109.20
Recall the formula for finding the area of a rectangle:
Area = Length × Width
Recall the formula for finding the perimeter of a rectangle:
Perimeter = 2 ( Length + Width )
Given in your problem:
Area = 40 sq. units
Perimeter = 26 units
Required to solve for:
Length (L) and width (W)
• First, substitute the given to the formula:
Area = Length x Width
40 = L × W ⇒ equation number 1
Perimeter = 2 ( Length + Width )
26 = 2 ( L + W ) ⇒ equation number 2
• Simplifying equation number 2,
13 = L + W
• Rearranging the equation,
L = 13 - W ⇒ equation 3
Substituting equation 3 from equation 1:
( equation 1 ) 40 = (L)(W)
( equation 3 ) L = 13 - W
40 = (13 - W) (W)
40 = 13W - W²
( regrouping ) W² - 13W + 40 = 0
( factoring ) (W - 8) (W - 5) = 0
W - 8 = 0 ; W - 5 = 0
W = 8 ; W = 5
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.
• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.
(equation 3) L = 13 - W
for W = 8 ⇒ L = 13 - 8
L = 5 units
for W = 5 ⇒ L = 13 - 5
L = 8 units
The two lines will intersect at the point (2, 3).
We can find this by setting the two equations equal to eachother, as the point at which they intersect is the point where they share the same x and y value. First, we have to get both equations in the form y = mx + c, so:
-x - y = -5
+ y
-x = -5 + y
+ 5
y = -x + 5
Now we can set -x + 5 equal to x + 1 and solve to find the x coordinate:
-x + 5 = x + 1
+ x
5 = 2x + 1
- 1
4 = 2x
÷ 2
2 = x
With the x coordinate, we can substitute it in to one of the equations and find our y coordinate:
y = 2 + 1 = 3
So the final answer is (2, 3).
I hope this helps!
-x + 5 = x + 1