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4vir4ik [10]
4 years ago
10

Question 4 (Multiple Choice Worth 1 points)

Mathematics
2 answers:
shutvik [7]4 years ago
6 0
The right answer for the question that is being asked and shown above is that: "d.8 open parentheses x plus 4 close parentheses over quantity x minus 6" The simplified that completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared plus 11 x plus 28 is that <span>8 open parentheses x plus 4 close parentheses over quantity x minus 6</span>
Zepler [3.9K]4 years ago
6 0
Translating the worded problem into mathematical form, the following expression was obtained: ( 8x - 56 / x^2 - 49 ) / (x - 6 / x^2 + 11x + 28)

Simplifying:

( 8x - 56 / x^2 - 49 ) ( <span>x^2 + 11x + 28 / x - 6</span>)

Factoring out:

( 8(x-7) / (x+7)(x-7) ) ( (x+7)(x+4) / x - 6 )

Cancelling out (x-7) and (x+7):

8(x+4) / (x-6)

Therefore, the correct answer is D.
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A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it doe
Bond [772]

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

Read more about area at:

brainly.com/question/24487155

#SPJ1

7 0
2 years ago
The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of th
Darina [25.2K]

Answer:

  • 1809 cm³

Step-by-step explanation:

<u>Given the scale factor:</u>

  • k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

<u>The volumes are:</u>

  • v = 67 cm³
  • V = x

<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>

  • v/x = k³
  • 67/x = (1/3)³
  • x = 67*27
  • x = 1809 cm³

7 0
3 years ago
Read 2 more answers
What number is being factored in this factor tree? <br><br>A.72<br> B.180 <br>C.216<br> D.324
Tatiana [17]

Answer:

not sure if it's ryt but I think it's A

7 0
3 years ago
Given directed line segment PR, find the coordinates of Q on PR such that the ratio of PQ to QR is 2:1.
Alekssandra [29.7K]

Answer:

4/3, -3

Step-by-step explanation:

4 0
3 years ago
A central angle in a circle measures 120°. What is the measure of its intercepted arc?
Evgesh-ka [11]
My answer came out to be 180.

7 0
3 years ago
Read 2 more answers
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