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mr_godi [17]
3 years ago
9

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Mathematics
1 answer:
ddd [48]3 years ago
4 0
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
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5 0
2 years ago
Evaluate the expression when z=7 3z+8
SSSSS [86.1K]

Answer:

Hi! The answer to your question is 29

Step-by-step explanation:

3(7)+8

3(7) = 21

21 + 8

= 29

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

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2 years ago
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To graph the given system of equation, first find x and y-intercept of each equation.
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When x=0
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Now x-intercept and y-intercept for equation 2.
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3 years ago
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dimaraw [331]
The answer would be 28.
--
Here's my work:

Remember PEMDAS:
- Parentheses
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- Multiplication
- Division
- Addition
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Also, remember to always go left to right.

(6+2)^2-4*3
Square everything in the parenthesis.

36+4-4*3
Multiply where you see a multiplication symbol from left to right.

36+4-12
Add.

40-12
Subtract.

28
Done!
--
I hope I was able to guide and help you on this.
4 0
4 years ago
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rewona [7]

Answer:

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Step-by-step explanation:

Pls Brainliest! ;) It would mean a lot! Also this is called integers addition on a line plot.

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