Whats -3x - 9 = -6x+ 18?

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

Answer:

Step-by-step explanation:

-3x -9 = -6x +18

-3x = -6x +27

3x = 27

x= 9

Zinaida [17]3 years ago

4 0

Answer:

Step-by-step explanation:

-3x-9=-6x+18

-9x=27

x=3

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Given: Sine (A) = StartFraction 5 Over 13 EndFraction, StartFraction pi Over 2 EndFraction < A < Pi and Tangent (B) = nega

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The value of Tan(A - B) is -0.1295.

<h2>Trigonometry</h2>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

<h3>Right angle triangle </h3>

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

Sin A = 5 ÷ 13 and Tan B = -√3.

The value of tan(A - B).

<h3>How to find the value of tan(A - B)?</h3>

The angle A will be,

$\begin{aligned} \rm sin A &= \dfrac{5}{13}\\\\\rm A &= \rm sin^{-1} \dfrac{5}{13}\\\\\rm A &= 22.62^o\\\\\end{aligned}\\But\ for\ the\ \dfrac{\pi}{2} < A < \pi\\\\A = 22.62^o + 90^o\\\\A = 112.62^o$

Similarly for angle B,

$\begin{aligned} \rm tan B &= -\sqrt{3} \\\\\rm B &= \rm tan^{-1} -\sqrt{3} \\\\\rm B &= -60^o\\\\\end{aligned}\\\rm But\ for\ the\ \dfrac{\pi}{2} < B < \pi\\\\B = -60^o + 180^o\\\\B = 120^o$