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DaniilM [7]
3 years ago
13

Factor: 6x^3+4x^2+3x+2

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

Step-by-step explanation:

6x^3+4x^2+3x+2

6x^3+3x+4x^2+2

3x(2x^2+1)+2(2x^2+1)

(3x+2)(2x^2+1)

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What is the volume of a rectangular Prism if it is scaled down by a factor of 1/10? Original volume is 135.
Snezhnost [94]

Answer:

V=0.135\ units^3

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to teh scale factor elevated o the cube

Let

z ----> the scale factor

x ----> the volume of the dilated prism

y ----> the volume of the original prism

z^3=\frac{x}{y}

we have

z=\frac{1}{10}

y=135\ units^3

substitute

(\frac{1}{10})^3=\frac{x}{135}

solve for x

(\frac{1}{1,000})=\frac{x}{135}

x=135/1,000=0.135\ units^3

6 0
4 years ago
PLEASE HELP!!
madam [21]

The distance traveled by the ray will be 26 inches. Then the correct option is B.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.

If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.

Then the distance traveled by the ray will be

We know the formula

D² = L² + W² + H²

We have

L = 24 in

W = 6 in

H = 8 in

Then the distance will be

D² = 24² + 6² + 8²

D² = 576 + 36 + 64

D² = 676

D = 26 in

Thus, the correct option is B.

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

7 0
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Answer:11

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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