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masya89 [10]
4 years ago
8

Which identity could be used to rewrite the expression x^6-27

Mathematics
2 answers:
nasty-shy [4]4 years ago
7 0
C. Difference of cubes
This is because the expression:
x⁶ - 27
can be simplified to:
(x²)³ - 3³
Semenov [28]4 years ago
3 0
The answer is C: difference of cubes
proof
x^6-27=(x^2)^3 - 3^3, because (x^2)^3 =x^2*3=x^6
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What do you call when a relation with each x value has one y value
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When each x value has only one y value, the relation is a function
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Name a three dimensional shape that cannot have a triangle as a two dimensional cross section.
AleksandrR [38]

Answer:

A sphere

Step-by-step explanation:

A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure

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8 0
4 years ago
How many solutions does the following equation have?<br> |3x + 12| = 18 (5 points)
DedPeter [7]

Answer: 2 solutions.

The given equation breaks down into these two equations

3x+12 = 18 and 3x+12 = -18

Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.

If you want to solve each equation, then

3x+12 = 18

3x = 18-12

3x = 6

x = 6/3

x = 2 is one solution

and

3x+12 = -18

3x = -18-12

3x = -30

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5 0
3 years ago
if a cylinder has a volume of approximately 125.6 cubic cm and has a height of 10cm what is the length of the radius
Elina [12.6K]

Answer:

radius = 4 cm

Step-by-step explanation:

To find the length of the radius, we will follow the step below;

First, write down the formula for finding the volume of a cylinder

v=πr²h

where v is the volume of a cylinder

r is the radius      and

h is the height of the cylinder

from the question given,

v=125.6    and h = 10 cm

we can now proceed to insert the values into the formula and solve for r

note that π is a constant which is equal to 3.14

v=πr²h

125.6 =3.14×r×10

125.6 =31.4 r

Divide both-side of the equation by 31.4

125.6/31.4 =31.4 r/31.4

4 = r

r =4 cm

The length of the radius = 4 cm

4 0
3 years ago
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