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3 years ago

Lines v and what are parallel. Which statement can you NOT deduce from this information

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

You cannot deduce the length of the lines

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Which equation represents a nonlinear function? A:y=x B:y=2x C:y=x^2 D:y=x+2

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Answer: option c.

Step-by-step explanation:

Option a, b and d are linear equations because they are in the form of y = mx + c which is a straight line.

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3 years ago

Which of the following should be your top priority? (1 point

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3 years ago

On a number line 8.63 would be located where

Oksanka [162]

Answer:

It would be slightly higher than 8.5 and lower than 9.

Step-by-step explanation:

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3 years ago

Show that cos(3x) = cos3(x) − 3 sin2(x)cos(x). (Hint: Use cos(2x) = cos2(x) − sin2(x) and the cosine sum

otez555 [7]

Step-by-step explanation:

To prove:

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

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

Taking the LHS:

$\Rightarrow \cos 3x=\cos (x+2x)$

Using identity 1:

$\Rightarrow \cos (x+2x)=\cos x\cos 2x-\sin x\sin 2x$

Using identities 2 and 3:

$\Rightarrow \cos x(\cos ^2x-\sin^2 x)-\sin x(2\sin x\cos x)\\\\\Rightarrow \cos^3x-\sin^2x\cos x-2\sin^2 x\cos x\\\\\Rightarrow \cos^3x-3\sin^2x\cos x$

As, LHS = RHS

Hence proved

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3 years ago