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Vikentia [17]
3 years ago
5

Simplify. Assume that all variables represent positive real numbers. sqrt[45][x]^[7][y]^[8]

Mathematics
2 answers:
Lisa [10]3 years ago
4 0

Answer:

3 x^3 y^4 sqrt(5x)

Step-by-step explanation:

sqrt(45x^7y^8)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(45)sqrt(x^7) sqrt(y^8)

sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)

3 sqrt(5) x*x*x sqrt(x) y*y*y*y

3 x^3 y^4 sqrt(5)sqrt(x)

3 x^3 y^4 sqrt(5x)

AVprozaik [17]3 years ago
3 0

Answer:

3 x^3 * y^4*√(5x)

Step-by-step explanation:

Factor

45: <u>3 * 3</u> * 5

y^8 = <u>y * y</u> * <u>y * y</u> *<u>y * y</u> * <u>y * y</u>

x^7 = <u>x *x</u> *<u>x *x </u>*<u>x *x</u> *x

Now underline every pair.

Rule: for every pair, take 1 outside the square root sign and throw the other one away. If any of the bases are left over, leave them under the square root sign.

3 * y * y * y * y * x * x * x *  √ (5 * y)

Answer: 3 x^3 * y^4*√(5x)

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11th grade geometry:
Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

\triangle SBA has coordinates S(15,-8),B(-2,21) and A(0,0)

Using the distance formula.........

Length of side SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}

Length of side BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}

Length of side AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17

So, the perimeter of the triangle will be:  (SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72 units.   <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base SB is 8.89 units.

<u>Formula for the Area of triangle</u>,  A= \frac{1}{2}(base\times height)

So, the area of the \triangle SBA will be:  \frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149 square units.   <em>(Rounded to the nearest unit)</em>

3 0
3 years ago
I need some serous help immediately
stepladder [879]
I’m assuming you are talking about number four. If you look at the line it provides you, the slope is -.5 and the intercept is zero. So all you have to do is rewrite the equation but subtract four from the right side and it will be parallel.
7 0
3 years ago
Please help on this one ?
Nastasia [14]

Answer:

C

Step-by-step explanation:

My notes are in the picture.

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5 0
3 years ago
I don’t know how to do this question <br> on the picture <br> Help please
Inga [223]

7×0.5=3.5

3.5×4=15

7×7=49

49-15=34

6 0
3 years ago
One quarter of a certain number added to one eighth of the same number is 12. What is the number​
alexdok [17]

Answer:

32

Step-by-step explanation:

let the number be n , then

\frac{1}{4} n + \frac{1}{8} n = 12 ( multiply through by 8 to clear the fractions )

2n + n = 96

3n = 96 ( divide both sides by 3 )

n = 32

The number is 32

6 0
3 years ago
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