3 years ago

Solve for y: 6x-2y= -8

Mathematics

1 answer:

Jlenok [28]3 years ago

4 0

Move all terms that don't contain y to the right side and solve y=3x+4

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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

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3 years ago

Work out the perimeter of the triangle when the sides are : 3x-5 2x 19-x

mr Goodwill [35]

Answer:

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Step-by-step explanation:

The perimeter of the triangle is equal to the sum of its three sides.

The sides of the triangle are 3x-5, 2x, and 19-x.

Calculate their sum.

3x - 5 + 2x + 19 - x

Rearrange.

3x + 2x - x + 19 - 5

Add or subtract like terms.

4x + 14

The perimeter of the triangle is 4x + 14.

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Answer is
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