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Ira Lisetskai [31]
3 years ago
15

!28 POINTS! I need help quick!! The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the wid

th if this triangle.
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

(2x +3  )(x-5)

one is the length and one is the width

Step-by-step explanation:

2x^2-7x-15

Factor

(2x      )(x      )

What are the factors of -15?  -1*15  and -3*5, 3*-5 , 1*-15

We need 2* one factor ± the other factor = -7

2*-5 +3 = -7

That means the -5 is on the outside and the +3 is on the inside

(2x +3  )(x-5)

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Divide both sides by -3, and replace x^2 with y. Then

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Use the figure to the right to find the missing lengths of the triangle.
pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = \frac{y}{7}

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sin B = \frac{7}{x}

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sin 30° = \frac{\frac{1}{2} }{1} = \frac{1}{2}

x = \frac{7}{\frac{1}{2} } = 14

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