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tester [92]
3 years ago
9

Ok I really need help

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

for a normal triangle its (bh)/2 but this is a right triangle so you multiply the two perpendicular sides and divide it by 2

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Which is equivalent to V180x11 after it has been simplified completely?
inna [77]

Question:

Which is equivalent to \sqrt{180x^{11}} after it has been simplified completely?

Answer:

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

Step-by-step explanation:

Given

\sqrt{180x^{11}}

Required

Simplify

We start by splitting the square root

\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}

Replace 180 with 36 * 5

\sqrt{180x^{11}} = \sqrt{36 * 5} *  \sqrt{x^{11}}

Further split the square roots

\sqrt{180x^{11}} = \sqrt{36} *\sqrt{5} *  \sqrt{x^{11}}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{11}}

Replace power of x; 11 with 10 + 1

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10 + 1}}

From laws of indices; a^{m+n} = a^m * a^n

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x^1}

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10} * x}

Further split the square roots

\sqrt{180x^{11}} = 6*\sqrt{5} *  \sqrt{x^{10}} * \sqrt{x}

From laws of indices; \sqrt{a} = a^{\frac{1}{2}}

So, we have

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{10*\frac{1}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{\frac{10}{2}} * \sqrt{x}

\sqrt{180x^{11}} = 6*\sqrt{5} *  x^{5} * \sqrt{x}

Rearrange Expression

\sqrt{180x^{11}} = 6 *  x^{5} * \sqrt{5} * \sqrt{x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}

From laws of indices; \sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}

So, we have

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5*x}

\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}

\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}

<em>The expression can no longer be simplified</em>

Hence, \sqrt{180x^{11}} is equivalent to 6x^{5}\sqrt{5x}

7 0
2 years ago
Read 2 more answers
HELPPP QUICKKK PLSSSS PEOPLE I NEED HELP NOW PLSSSSS Which of the following equations describes the line shown below? Check all
Sav [38]

Let there exists a point (x, y) on the given line.

Slope of all points must be same, as they lie on the same line.

=> (y - 1)/(x - 2) = (4 - 1)/(-4 - 2)

=> (y - 1)/(x - 2) = - 1/2

=> y - 1 = (-½) (x - 2)

Option 1 is the correct option

7 0
2 years ago
Alyssa used 12 gallons of white paint for the ceiling of her kitchen and 13 gallons of white paint for her bedroom. She used
Arturiano [62]
She used 10 more gallons of green paint

Hope this helps if it does yourwelcome
6 0
3 years ago
What is the C of a circle that has a radius of 4.5
Jlenok [28]

Step-by-step explanation:

C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\  = 3.14 \times 9 \\  =28.26 \: units

5 0
3 years ago
HELP !! The equations of three lines are given below.
Leviafan [203]

Answer:

1 neither

2 neither

3 neither

Step-by-step explanation:

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3 years ago
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