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Leto [7]
1 year ago
15

Which monomial is a perfect cube

Mathematics
1 answer:
Whitepunk [10]1 year ago
8 0

Answer:

A perfect cube monomial must have three identical root , such that the product of the roots equal the perfect square monomial . The coefficient of the monomial must be divisible by 3 . Any monomial can be a perfect cube root .

Step-by-step explanation:

1.)1000=10 cube

2.) 729=9 cube

3.) 512=8 cube

4.) 343=7 cube

5.) 216=6 cube

6.) 125=5 cube

7.) 64=4 cube

8.) 27=3 cube

9.) 8=2cube

10.) 1=1 cube

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I need help on solving these types of geometry problems! Teacher said the answer is 7 but I have to show work. Thank you!
Nikolay [14]

The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.

This means

82^\circ=m\angle 2

\implies82=10x+12

\implies10x=70

\implies\boxed{x=7}

4 0
3 years ago
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be
olasank [31]
Hello,

u_{1} =4\\&#10; u_{2} =4*q\\&#10; u_{3} =4*q^2\\&#10;...\\&#10;&#10; u_{9} =4*q^8\\\\&#10;==\textgreater\ 4*q^8=1024\\&#10;==\textgreater\ q^8=256\\&#10;==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\&#10;if\ q=2 \ then\  \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\&#10;&#10;if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\&#10;&#10;&#10;&#10;

Answer B (but see the problem)
7 0
3 years ago
Read 2 more answers
Find the approximate length of segment EF.
Debora [2.8K]

Answer:

The Answer is C.

Step-by-step explanation:

3 0
2 years ago
QUICK HELP! How many terms are in the simplified expression? How many of the terms in the simplified expression are negative?
Bess [88]
There are 4 terms.
The second term and the fourth term have negative coefficients.
Terms are only negative depending on the value of the variables.

3 0
2 years ago
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