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3 years ago

The expression x^a ÷ x^b is equivalent to......HELPPP

Mathematics

1 answer:

Natasha2012 [34]3 years ago

8 0

Answer:

x^a-b

Step-by-step explanation:

x^a/x^b=

x^a-b this only works if a and b have the same base

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A) 8+2.50x=28

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C) Jada can go on 8 rides before she has spent all of her money

Step-by-step explanation:

subtract the $8 fee from 28 and get 20, then divide 20 by how much each ride costs (2.50) and get 8 :)

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

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3 years ago

What is the slope of o line that passes through (-4,-14) and (19,11)?

DerKrebs [107]

Answer:

D, see description below.

There is a possible typo in the problem since these points have slope 25/23.

Step-by-step explanation:

To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Here the points are (-4,-14) and (19,11). Substitute and simplify.

$m=\frac{11--14}{19--4}=\frac{11+14}{19+4}=\frac{25}{23}$

I think there is a typo in your points (-4,-14) and (19,11) because the answer doesn't align to the answer choices. But based on them, I would answer D or 24/23 since it's the closest value.

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3 years ago