3 years ago

Use the geometric model to factor x^2-9

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

(x - 3)(x + 3)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

x² - 9 = (x - 3)(x + 3)

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A rack has a volume of 10 cm3 and a mass of 25g. What is the density?

valentinak56 [21]

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Step-by-step explanation:

density is mass divided by volume, so 25g divided by 10 cm = 2.5 g

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2 years ago

Complete the square. Fill in the number that makes the polynomial a perfect-square

NeX [460]

Answer:

h² - 10h + <u>25</u>

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

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2 years ago

How to solve this linear equation step by step please

mote1985 [20]

$\bf \cfrac{3}{c^2-4c}-\cfrac{9}{2c^2+3c}=\cfrac{2}{2c^2-5c-12}\\\\\\ 
\begin{cases}
c^2-4c=&c(c-4)\\
2c^2+3c=&c(2c+3)\\\\
2c^2-5c-12=
&(2c+3)(c-4)
\end{cases}\\\\
-------------------------------\\\\
\textit{therefore, our LCD for the \underline{left-side} will have to be }\underline{c(c-4)(2c+3)}\\\\
-------------------------------\\\\$

$\bf \cfrac{3}{c(c-4)}-\cfrac{9}{c(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
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\cfrac{3(2c+3)-9(c-4)}{c(c-4)(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
\\\\\\
\cfrac{6c+9-(9c-36)}{c(c-4)(2c+3)}=\cfrac{2}{(2c+3)(c-4)}
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\cfrac{6c+9-9c+36}{1}=\cfrac{2[c(c-4)(2c+3)]}{(2c+3)(c-4)}
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2 years ago

Nanette has 5 dimes and 5 pennies in her

Blizzard [7]

Answer:

2/9

Step-by-step explanation:

5 dimes and 5 pennies = 10 coins

P( dime) = number of dimes / total

=5/10 = 1/2

keep the dime

4 dimes and 5 pennies = 9 coins

P( penny) = number of penny / total

=4/9

P( dime, keep, penny) = 1/2 * 4/9 = 2/9

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3 years ago

Read 2 more answers

Which number line represents the solutions to |-2x|=4?

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Step-by-step explanation:

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2 years ago