Factor completely 9x4 12x3 21x2. 3(3x4 4x3 7x2) 3x(3x3 4x2 7x) 3x2(3x2 4x 7) Prime.

Mathematics

1 answer:

Andrew [12]2 years ago

8 0

3x2(3x2 + 4x + 7)

hope this helps i solved it :)

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an art student wants to take a triangle with side lengths of 9,9, and 15 and enlarge it so that the longest side of a new triang

VikaD [51]

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

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3 years ago

How would this ratio be written as a fraction in simplest form? <br> 24 to 4

olga nikolaevna [1]

Answer:

6 to 1

Step-by-step explanation:

4/2 is 2 and then divide that be 2 and its 1

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3 years ago

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What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10?

Y_Kistochka [10]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=12\\
d=-10\\
a_{12}=13
\end{cases}
\\\\\\
a_{12}=a_1+(12-1)d\implies 13=a_1+(12-1)(-10)
\\\\\\
13=a_1-110\implies \boxed{123=a_1}$

$\bf \\\\
-------------------------------\\\\
\textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
a_n=\textit{value of the }n^{th}\ term\\
------------\\
n=12\\
a_1=123\\
a_{12}=13
\end{cases}
\\\\\\
S_{12}=\cfrac{12}{2}(a_1+a_{12})\implies S_{12}=\cfrac{12}{2}(123+13)$

and surely you know how much that is.

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4 years ago

The table below shows all of the possible outcomes for rolling two six-sided number cubes. A table with 36 possible outcomes. Th

barxatty [35]

The image is missing, we have attached the image.

Answer:

The of getting an even number in first and an odd number second is $\frac{1}{4}\ or\ 0.25$ .