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Lapatulllka [165]
3 years ago
5

Sam is covering her rectangular pool for the winter. The area of the cover is x² + 13x + 42 ft². The length of the cover is (x +

7) feet.
A. What is the width of the cover? Make sure to include the unit of measurement.

B. How did you find the width? Explain in complete sentences.

C. If x = 4, what is the area of the pool cover?
please show your work
Mathematics
2 answers:
kirill115 [55]3 years ago
6 0

Answer:

A.....area= x^2+13x+42...factorizing= ( x+7)(x+6)

l=x+7

b=area/l=(x+6)(x+7)/(x+7)=(x+6) ft

B...its above...

C...area=lb

l= x+7=4+7=11

b=x+6=6+4=10

lb=11×10=110 ft

nadezda [96]3 years ago
5 0

Answer:

(x+6) feet, 110sq ft

Step-by-step explanation:

Area = width * length = something * (x + 7)

Width = (x+6) as 6 and 7 add to 13 and times to 42.

To confirm expand (x+6)(x+7)=x^2+6x+7x+42=x^2+13x+42

(x+6) feet

4^2+13(4)+42=16+52+42=110 sqft

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Answer:

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pav-90 [236]

Answer:

Step-by-step explanation:

The standard form of an arithmetic sequence is

aₙ = a₁ + d(n - 1)

where aₙ is the number of the term in the sequence (in order from first term where n = 1, to second term where n = 2, to third term where n = 3, etc) a₁ is the the first term in the sequence, and d is the arithmetic difference or means.  This is what we are looking to solve for.  

In our sequence we have the first term, -3 (where n = 1) and the fifth term, 93 (where n = 5).  If we fill in what we have, the only unknown is d, our arithmetic difference (means) between each number in the sequence.

Because we have the fifth term, we can write our standard form to fit our needs:

a₅ = a₁ + d(n-1).  Therefore,

93 = -3 + d(5 - 1) and

93 = -3 + d(4) so

96 = 4d and

d = 24

Our arithmetic difference (means) is 24.  Let's test it on a few values of n.  Let's look for the second, third, and 4th terms, and then try it out for n = 5 to make sure the 5th term, using our arithmetic sequence with d = 24 works and we do, in fact, find the fifth term to be 93.

Testing n = 2

a₂ = -3 + 24(2 - 1) so

a₂ = -3 + 24(1)  and

a₂ = 21.  Second term is 21 (Notice that difference between -3 and 21 is 24)

Testing n = 3

a₃ = -3 + 24(3 - 1) so

a₃ = -3 + 24(2) and

a₃ = 48 - 3 and

a₃ = 45 (Notice the difference between 21 and 45 is 24)

Testing n = 4

a₄ = -3 + 24(4 - 1) so

a₄ = -3 + 24(3) and

a₄ = 72 - 3 and

a₄ = 69 (Notice the difference between 45 and 69 is 24)

Testing n = 5 (and it better come out as 93 or we did something wrong!)

a₅ = -3 + 24(5 - 1) and

a₅ = -3 + 24(4) so

a₅ = 96 - 3 so

a₅ = 93 (Phew!)  ; )

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Answer: THIRD OPTION.

Step-by-step explanation:

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Therefore, the solution can be expressed as:

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Step-by-step explanation:

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