3 years ago

Simplify the expressions (a^2b^-3/a^-2b^2)^2

1 answer:

6 0

Answer:

$(\frac{a^{2}b^{-3} }{a^{-2}b^{2} })^{2} = (a^{2-(-2) }b^{-3 - 2})^{2} \\ = (a^{4}b^{-5} )^{2} = (a^{4})^{2} (b^{-5})^{2} = a^{8} b^{-10}$

Here is for you.

Step-by-step explanation:

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The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar

marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

$R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2$

Substituting this in the section formula

$R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)$

To simplifying the expression, we get

$\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)$

$\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)$

⇒ R(x,y) = R(–3,4)

Hence, the coordinates of point R is (–3, 4).

6 0

3 years ago

The length of the diagonal of a rectangle is 140−−−√ inches.

andrew11 [14]

Answer:

answer is second one

Step-by-step explanation:

The length is between 11 and 12 inches.

√140 = 11.83 inches

5 0

2 years ago

Please help I will reward point and hearts

Mashcka [7]

Fourths, then b. Sorry if late.

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3 years ago

Solve for x. Round to the nearest tenth, if necessary. S 9 х Q 75° R

ivann1987 [24]

Trigonometry:

Sine 75 = x/ 9
x = 9 Sine 75
x = 8.7

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3 years ago

If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

Blizzard [7]

Answer:

It would take 3.6 mins.

Step-by-step explanation:

In order to find this, we simply divide the amount of time by the amount of the tank that is filled.

2 ÷ 5/9 = 3.6

7 0

2 years ago