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1 year ago

Simplify the expression 30x^6/3x^-2

Mathematics

1 answer:

Ne4ueva [31]1 year ago

6 0

Answer:

$30x^{4}$

Step-by-step explanation:

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What is the standard form of the following equation:

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Answer:

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2 years ago

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2 years ago

12. Determine the area of the shaded region. 12 in 12 in

vekshin1

Answer:

216/7 in²

Step-by-step explanation:

Area of shaded region = Area of square - Area of circles
Radius of circle = 3 in
Area of circle = πr²
Area of square = s²

<u>Solution:</u>

Area of shaded region = Area of square - Area of circles
=> Area of shaded region = (12²) - 4(22/7 x 3 x 3)
=> Area of shaded region = (144) - 4(22/7 x 9)
=> Area of shaded region = (144) - 4(198/7)
=> Area of shaded region = 144 - 792/7
=> Area of shaded region = 144 x 7/7 - 792/7
=> Area of shaded region = 1008/7 - 792/7
=> Area of shaded region = 1008/7 - 792/7
=> Area of shaded region = 216/7 in²

3 0

2 years ago

(x^2 - x^(1/2))/(1-x^(1/2))

Levart [38]

$\frac { \left( { x }^{ 2 }-{ x }^{ \frac { 1 }{ 2 } } \right) }{ \left( 1-{ x }^{ \frac { 1 }{ 2 } } \right) }$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot 1$

$\\ \\ =\frac { \left( { x }^{ 2 }-\sqrt { x } \right) }{ \left( 1-\sqrt { x } \right) } \cdot \frac { \left( 1+\sqrt { x } \right) }{ \left( 1+\sqrt { x } \right) }$

$\\ \\ =\frac { { x }^{ 2 }+{ x }^{ 2 }\sqrt { x } -\sqrt { x } -x }{ 1+\sqrt { x } -\sqrt { x } -x }$

$\\ \\ =\frac { -\sqrt { x } \left( 1-{ x }^{ 2 } \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { -\sqrt { x } \left( 1+x \right) \left( 1-x \right) -x\left( 1-x \right) }{ \left( 1-x \right) }$

$\\ \\ =\frac { \left( 1-x \right) \left\{ -\sqrt { x } \left( 1+x \right) -x \right\} }{ \left( 1-x \right) }$

$\\ \\ =-\sqrt { x } \left( 1+x \right) -x\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }\left( 1+{ x }^{ \frac { 2 }{ 2 } } \right) -x$

$\\ \\ =-{ x }^{ \frac { 1 }{ 2 } }-{ x }^{ \frac { 3 }{ 2 } }-x\\ \\ =-\sqrt { x } -\sqrt { { x }^{ 3 } } -x$

3 0

2 years ago

Read 2 more answers

What equation do you obtain when you solve the formula A = 1/2bh for h?ASAP PLEASE

Katen [24]

Answer:

2Ab=h

Step-by-step explanation:

A=1/2bh

2A=bh

2Ab=h

8 0

2 years ago

Simplify the expression 30x^6/3x^-2​

Simplify the expression 30x^6/3x^-2