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3 years ago

The perimeter of the quadrilateral is 43 centimeters. Find the length of each side.

Mathematics

1 answer:

vesna_86 [32]3 years ago

7 0

Step-by-step explanation:

A quadrilateral is made up of four sides. This means the sum of all the side equals 43. This is given as;

(x + 7) + (x² - 2x ) + (x +3) + (2x - 2) = 43

x² - 2x + 4x + 8 = 43

x² - 2x - 35 = 0

Upon solving for x by factorization;

( x - 5) ( x + 7) = 0

The values of x are; 5 and - 7

Since the side of shape cannot have a negative value, -7 is ignored.

x = 5

The length of the sides are;

- X+7 = 5 + 7 = 12

- x² - 2x = 5² - 2(5) = 25 - 10 = 15

- X+3 = 5 + 3 = 8

2x-2 = 2(5) - 2 = 10 -2 = 8

Check:

8 + 8 + 15 + 12 = 43

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4 years ago

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3 years ago

You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.

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Answer:

a) $T(x)=300x+18x=318x$

b) $D(x)=318x-(0.1)(318)+10x\\=296.2x$

c) Yes.

Step-by-step explanation:

We have that:

$Tires=$300\\Tax=0.006\\Discount=0.1\\$

And we have $10 free of taxes.

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So, what we pay for taxes is given by:

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$T(x)=300x+18x=318x$

b) And the total cost after discounts, is then given by:

$D(x)=318x-(0.1)(318)+10x\\=296.2x$

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

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4 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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