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andrew11 [14]
3 years ago
15

the width of a rectangle is 7 meters greater than its length.If the area of the rectangle is 170 square meters, write the quadra

tic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.
Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

x^2+7x-170 = 0

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.

We also know the area is 170. Substitute this value for A and solve.

170 = (7+x)(x)\\170 = 7x+x^2\\x^2+7x-170 = 0


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3 years ago
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Step-by-step explanation:

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3 years ago
I’m supposed to solve this by eliminating the x variable
liberstina [14]

Answer:

the answer is (-4, 5)

Step-by-step explanation:

Let's use elimination by addition / subtraction:

-6x - 2y =  14

6x + 7y = 11

-------------------

        5y   = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

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Thus, the answer is (-4, 5).  Please double check to ensure you have copied down both system of equations and answer correctly.

Check:  Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

            -3(-4) - (5) = 7

               12 - 5 = 7  YES

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Step-by-step explanation:

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3 years ago
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Answer:

100% I looked it up and red an article

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2 years ago
Read 2 more answers
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