One factor of 8x^3+1 is 2x+1 The other factor is?

1 answer:

8 0

First, write 8x^3 in exponential form (8 is basically the same as 2^3)

So that you have 2^3*x^3+1

Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)

So that it becomes (2x)^3+1^3

Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)

Expand the second bracket

So the two factors are (2x+1) and (4x^2-2x+1)

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The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube? 6 cubic feet 18 cubic

fomenos

The volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

A cube is a three-dimensional solid object with six square faces, facets, or sides, three of which meet at each vertex.
The cube is one of the five Platonic solids and the only regular hexahedron.
It has six faces, twelve edges, and eight vertices.

To find the volume of the cube that perfectly fits an 18 ft³ pyramid:

We have been provided that:

18 cubic feet is the volume of the pyramid.
Now, in order for this pyramid to fit exactly into a cube, the base of the pyramid must be square, and the height of the pyramid must be equal to the height of the cube.
We can conclude from this that the volume of a cube equals three times the volume of a pyramid.
So, the volume of the cube = 3 × 18
The volume of Cube = 54 ft³

Therefore, the volume of the cube that perfectly fits an 18 ft³ pyramid is calculated as (C) 54 ft³.

Know more about a cube here:

brainly.com/question/1972490

#SPJ4

The correct question is given below:

The volume of a pyramid that fits exactly inside a cube is 18 cubic feet. what is the volume of the cube?

(A) 6 cubic feet

(B) 18 cubic feet

(D) 72 cubic feet

6 0

8 months ago

Solve by factoring X^2-100=0

Greeley [361]

X= -10, 10

This is the answer.

3 0

2 years ago

WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of t

neonofarm [45]

Answer:

$y = -3x+11$

Step-by-step explanation:

I accept your challenge!

First we know that a equation of the line is a linear equation, and its equation is:

$y = mx+b$

$m: \text{slope}\\b: \text{y-intercept}$

In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).

$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$