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2 years ago

Simplify 3(4x+2y)-(x-5y)

Mathematics

1 answer:

Natali5045456 [20]2 years ago

3 0

Answer: The answer is 11x+11y

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Hi, can you help me to solve this exercise, please!

Yuri [45]

Trigonometric Identities.

To solve this problem, we need to keep in mind the following:

* The tangent function is negative in the quadrant II

* The cosine (and therefore the secant) function is negative in the quadrant II

* The tangent and the secant of any angle are related by the equation:

$\sec ^2\theta=\tan ^2\theta+1$

We are given:

$\text{tan}\theta=-\frac{\sqrt[]{14}}{4}$

And θ lies in the quadrant Ii.

Substituting in the identity:

$\begin{gathered} \sec ^2\theta=(-\frac{\sqrt[]{14}}{4})^2+1 \\ \text{Operating:} \\ \sec ^2\theta=\frac{14}{16}+1 \\ \sec ^2\theta=\frac{14+16}{16} \\ \sec ^2\theta=\frac{30}{16} \end{gathered}$

Taking the square root and writing the negative sign for the secant:

$\begin{gathered} \sec ^{}\theta=\sqrt{\frac{30}{16}} \\ \sec ^{}\theta=-\frac{\sqrt[]{30}}{4} \end{gathered}$

5 0

8 months ago

Complete the factorization of 3x2 – 5x + 2.

Schach [20]

3x² - 5x + 2
= 3x² - 3x - 2x + 2
= 3x(x-1) - 2(x-1)
= (x-1)(3x-2)

4 0

3 years ago

Read 2 more answers

Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale. Radius=1.7m length=15 m

inna [77]

V= π r 2 h
V= π•1.7•2•15= 160.22m²

5 0

2 years ago

Please I’ll mark brainliest if you get it right

SpyIntel [72]

C: 24
both of the missing sides are equal to 4

3 0

2 years ago

Six times a number x and was added to 90 and the result is -42. What is the number

ANTONII [103]

According to the question,

6x + 90 = -42

The value of x.

<h3>Solution:</h3>

6x = -42 + 90

or, x = 48/6

or, x = 8

<h2>Answer:</h2>

The value of x is 8.

6 0

2 years ago