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ollegr [7]
2 years ago
15

Geometry please help me!!!!

Mathematics
1 answer:
Oliga [24]2 years ago
8 0

Answer:

Step-by-step explanation:

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
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}
4 0
3 years ago
-2a3 - 3a2 + 4a + 6, 2a3 + 5a2 + 7 <br> sum the expression
zavuch27 [327]

Answer:

2a2 + 4a + 7

Step-by-step explanation:

As, - (2a3 - 3a2 + 4a + 6) + (2a3 + 5a2 + 7)

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3 years ago
2(5n - 2 ) = 4 ( n + 2 )
Marianna [84]
2(5n-2)=4(n+2)
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3 0
3 years ago
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artcher [175]
11 quarts=2.75 gallons. 4 quarts eqals a gallon. Hope that helps!!!!
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3 years ago
Rewrite the expression in the form 9^n<br> (9^3) (9^12)
BartSMP [9]

Answer:

{9}^{15}

Step-by-step explanation:

( {9}^{3} ) \times ( {9}^{12} ) = 9 {}^{3 + 12}  =  {9}^{15}  \\

5 0
3 years ago
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