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Lelu [443]
3 years ago
7

if a rectangle has am area of 2x²+11x+15, what would be an expression for the length, and for the width?

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

Length = 2x + 5

Width = x + 3

Step-by-step explanation:

Area of rectangle = length × width

Expression for area of the rectangle = 2x² + 11x + 15

Factorising the quadratic expression

2x² + 11x + 15 = 2x² + 6x + 5x + 15 = (2x² + 6x) + (5x + 15) = 2x(x + 3) +5(x + 3) = (2x + 5)(x + 3)

Length = 2x + 5

Width = x + 3

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3 years ago
Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.
KATRIN_1 [288]

According to law of cosines the length of RQ can be written as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.

A length of the triangle can be written as according to law of cosines if sides are given and one angle is a^{2} =b^{2} +c^{2} -2bccos(A)

We have to just put the values in the above equation.

as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.

Hence the side can be written as according to law of cosines if the angle is 39 degrees is  as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

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7 0
1 year ago
Who drove the fastest? Select the correct answer. A Hector drove 205 miles in 5 hours. B Harlin drove 357 miles in 6 hours. C Ke
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Answer:

soooo it D

Step-by-step explanation:

you have to divide

A. h 205 divide by 5 =41 m

B. h 357 divide by 6= 59.5

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8 0
3 years ago
5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in t
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Answer:

The shorter side piece of fabric = x = 8 feet

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Step-by-step explanation:

Total yards of fabrics = 6 yards

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Second piece= x+2 feet

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x = 16 / 2

x = 8 feet

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x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

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7 0
3 years ago
Simpliest radical form for the square root of 72​
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3 years ago
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