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3 years ago

The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?

Mathematics

2 answers:

Nikitich [7]3 years ago

7 0

1) both have positives signs OR

2) both have negatives signs

Pavel [41]3 years ago

5 0

Answer:

Knowing that the quotient of two rational numbers is positive, leads me to the conclusion that both the dividend and the divisor were the same. When I say the same, I mean they were either both positive or both negative.

I hope this helps

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- Madison Croskey

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Answer:

D. y=30x

Step-by-step explanation:

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expeople1 [14]

Answer:

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3 years ago

Prove that (sec theta-cos theta) ( cot theta+tan theta) = tan theta ×sec theta

meriva

Given:

$(\sec \theta \cos \theta)(\cot \theta+\tan \theta)=\tan \theta \sec \theta$

To prove:

The given statement.

Proof:

We have,

$(\sec \theta -\cos \theta)(\cot \theta+\tan \theta)=\tan \theta \sec \theta$

Taking LHS, we get

$LHS=(\sec \theta -\cos \theta)(\cot \theta+\tan \theta)$

$LHS=(\dfrac{1}{\cos \theta }-\cos \theta)(\dfrac{\cos \theta}{\sin \theta}+\dfrac{\sin \theta}{\cos \theta})$

$LHS=(\dfrac{1-\cos^2 \theta }{\cos \theta })(\dfrac{\cos^2 \theta+\sin^2 \theta}{\sin \theta\cos \theta})$

$LHS=(\dfrac{\sin^2 \theta }{\cos \theta })(\dfrac{1}{\sin \theta\cos \theta})$ $[\because \cos^2 \theta+\sin^2 \theta=1]$

$LHS=(\dfrac{\sin \theta }{\cos \theta })(\dfrac{1}{\cos \theta})$

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3 years ago

If 12 cookies cost $2.88, How much would 2 cookies cost?

Anarel [89]

One way is just to recognize that
2.88=12 cookies
konw that
12/6=2
so divide both sides by 6
0.48=2 cookies
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ratio and proportaion way
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cost of 2 cookies is x
2.88/12=x/2
times both sides by 12
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divide both sides by 6
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the cost is 2 cookies is $0.48 or 48 cents

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