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swat32
3 years ago
7

I need this answer as fast as you can and explain simple

Mathematics
1 answer:
blondinia [14]3 years ago
4 0

Answer:

A

Step-by-step explanation:

(b-3)(b-3) would equal (b^2–6b+9), when using the foil method.

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Explain how to get that answer!!
ra1l [238]
We need to simplify \frac{ \sqrt{14x^3} }{ \sqrt{18x} }

First lets factor \sqrt{14x^3}

\sqrt{14x^3} = \sqrt{14}  \sqrt{x^3}
\sqrt{14} =  \sqrt{2} \sqrt{7} by applying the radical rule \sqrt[n]{ab} =  \sqrt[n]{a} \sqrt[n]{b}
\sqrt{x^3} = x^{3/2} By applying the radical rule \sqrt[n]{x^m} = x^{m/n}

So
\sqrt{14x^3} = \sqrt{14}  \sqrt{x^3} = \sqrt{2} \sqrt{7}x^{3/2}

Now let's factor \sqrt{18x}
By applying the radical rule \sqrt[n]{ab} =  \sqrt[n]{a}  \sqrt[n]{b},
\sqrt{18x} =  \sqrt{18} \sqrt{x}
\sqrt{18} =  \sqrt{2} * 3

So \sqrt{18x} = \sqrt{2}*3 \sqrt{x}

So  \frac{ \sqrt{14x^3} }{ \sqrt{18x} } = \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x}  }

We know that \sqrt[n]{x} = x^{1/n} so \sqrt{x} = x^{1/2}

We now have \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3 \sqrt{x}} = \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}}

We know that \frac{x^a}{x^b} = x^{a-b}
So \frac{x^{3/2}}{x^{1/2}} = x^{3/2 - 1/2} = x

We now got \frac{ \sqrt{2} \sqrt{7} x^{3/2} }{ \sqrt{2}*3x^{1/2}} = \frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3}


We can notice that the numerator and the denominator both got √2 in a multiplication, so we can simplify them, and we get:
\frac{ \sqrt{2} \sqrt{7} x }{ \sqrt{2}*3} =   \frac{ \sqrt{7}x }{3}


All in All, we get \frac{ \sqrt{14x^3} }{ \sqrt{18x} } =  \frac{ \sqrt{7}x }{3}

Hope this helps! :D


6 0
3 years ago
How many feet into 43 miles
Sveta_85 [38]

227040 feet


hope this helps bro

8 0
3 years ago
Read 2 more answers
What’s this equation? 50 + 6x + 1 – 22x
Serga [27]
In simplified form, the answer would be -16x+51
6 0
3 years ago
Find the equation of a parabola that has a vertex of (3,2) and contains the point (4,7)
zvonat [6]

Answer:

y = 5(x - 3)² + 2

Step-by-step explanation:

y = a(x - h)² + k

y = a(x - 3)² + 2

7 = a(4 - 3)² + 2

a = 5

y = 5(x - 3)² + 2

7 0
3 years ago
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality
vodka [1.7K]
The answer would be B
In the thing above it says she earns 100 each week PLUS 15 each sale she makes there for that being commission
4 0
2 years ago
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