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lys-0071 [83]
3 years ago
7

Determine the linear factors for 27x^3-12x

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

27x^3 - 12x factors into

3(9x^3 - 4x) a common factor of three has been taken out.

3x(9x^2 - 4) a common factor of x has been taken out. 3x is not a linear factor.

9x^2 - 4 factors by means of the difference of squares

3x(3x - 2)(3x + 2)

The two linear factors are 3x - 2 and 3x + 2


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Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <2?
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On a cube, what proportion of the surface area is on each face, to the nearest percent?
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Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.
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15. Higher Order Thinking Nancy made a
Andreas93 [3]

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

<h3>What is the area of the rectangle?</h3>

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

brainly.com/question/14383947

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8 0
1 year ago
The ratio of men to women working for a company is 5 to 7. If there are 126 women working for the company, what is the total num
SIZIF [17.4K]

Answer:

There are 216 employees

Step-by-step explanation:

First you divide 126 by 7 (number of women) and you get 18 then you times that by 5 (total number of men) and you get 90 finally you add 90 (men) and 126 (women) to get 216 employees in total.

8 0
3 years ago
Please help solve!!!!!!!!!!
Deffense [45]

Answer:

Height = 17.31821 feet

Step-by-step explanation:

<u><em>Explanation</em></u>

<u><em>From graph</em></u>

Given angle θ = 6.5°  and a = 152 feet

we need to find the height (h)

By using the tangent rule

                   tan \alpha = \frac{opposite side}{adjacent side}

                  tan 6.5 = \frac{b}{152}

    Cross multiplication , we get

               b = 152 × tan 6.5°

               b = 152 × 0.113935

              b = 17.31821 feet

Height = 17.31821 feet

6 0
3 years ago
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