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Free_Kalibri [48]
3 years ago
11

When working with the square root of a number, when would you have only a positive answer and when would you have both a positiv

e and negative answer?
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0
<span>Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.</span>
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I need to get the left side to equal the right side. Keeping the right side alone and not changing it.
likoan [24]

<u>To prove the trigonometric equation:</u>

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

RHS=(\sin x+\cos x)(1-\sin x \cos x)

We know that \sin^2x +\cos^2x=1, substitute this in place of 1.

       =(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)

Multiply each term of the first term with each term of the 2nd term.

       =\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x

Group like terms together.

       =\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x

       =\sin^3x +( 0)+(0) + \cos^3 x

       =\sin^3x + \cos^3 x

       = LHS

RHS = LHS

\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)

Hence proved.

7 0
3 years ago
for a different pizza dough recipe, the equation f=2.5w represents the number of cups of flour, f, that you need for w cups of w
zhuklara [117]
For any direct variation, the equation is of the form y = kx, where k is the constant of proportionality.

Given the equation: f = 2.5w

The constant of proportionality is 2.5.

This means that the ration of the cups of flour to the cups of water used in the recipe is 2.5
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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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puteri [66]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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If one of the exterior angles of a triangle is acute, then the triangle must be:
Arada [10]

Answer:

acute

Step-by-step explanation:

Hope this helps

8 0
3 years ago
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