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katrin2010 [14]
3 years ago
9

I need help please thank you for your help

Mathematics
2 answers:
Ann [662]3 years ago
6 0

This is the graph for the equation.

VladimirAG [237]3 years ago
5 0

Step-by-step explanation:

Draw points at

(-1, -4)

(0, -2)

(1, 0)

(2, 2)

(3, 4)

Then draw a line through those points and that should do it.

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.
lorasvet [3.4K]
p = 2w + 2l              p = 42 
a = l * w                   a = 108

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2 
               2's  cancel  out
\frac{p}{2} = w + l

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
\frac{p}{2} - l = w + l - l
                 l's  cancel  out 
p/2 - l = w

a = l * w

You replace w with the equation above p/2 - l = w 
a = l( \frac{p}{2} - l)

Multiply out the L.
a = \frac{p}{2}l - l^{2}

Plug in all your numbers a = 110 and p = 42
110 = \frac{42}{2}l - l^{2}
110 = 21l - l^{2

Move everything to the left side so l^{2} would be positive (makes the equation easier when l^{2} is positive).
l^{2} - 21l + 110 = 0

Factor.
(l -10)(l-11) = 0

Make each parenthesis set equal to 0.
l-11=0     l-10=0

Add.
l = 11  l = 10

By doing this you solve for both the width and length so the answer is:
w = 11    L = 10
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3 years ago
Easy question please help
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Step-by-step explanation:

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Step-by-step explanation:

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