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4 years ago

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Which of the following represents the equation of the line that passes through the point (-2, 4) and is perpendicular to the lin

e y = 2 3 x − 2?
A. 2x +3y = 8
B. 3x +2y = −2
C. 3x −2y = −14
D. 3x +2y = 2

1 answer:

Zina [86]4 years ago

3 0

Answer:

D. 3x +2y = 2

Step-by-step explanation:

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Trig Help please! 50 points!

IgorLugansk [536]

Answer:

C

Step-by-step explanation:

Remember the mnemonic: SohCahToa, where:

$\sin(\theta)=\text{opposite}/\text{hypotenuse}\\\cos(\theta)=\text{adjacent}/\text{hypotenuse}\\\tan(\theta)=\text{opposite}/\text{adjacent}$

Let's determine our side lengths first.

Note that our angle is A. So, we have to determine the sides with respect to A.

The opposite side to A is 16.

The adjacent side is 12.

And the hypotenuse is 20.

With this, we can find our trig ratios:

Sine:

$\sin(A)=\text{opp}/\text{hyp}$

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

$\sin(A)=16/20$

Reduce:

$\sin(A)=4/5$

Cosine:

$\cos(A)=\text{adj}/\text{hyp}$

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

$\cos(A)=12/20$

Reduce:

$\cos(A)=3/5$

Tangent:

$\tan(A)=\text{opp}/\text{adj}$

Substitute 16 for the opposite and 12 for the adjacent. This yields:

$\tan(A)=16/12$

Reduce:

$\tan(A)=4/3$

So, our answers are:

$\frac{4}{5}, \frac{3}{5}, \text{ and } \frac{4}{3}$

Out of the answer choices, the choice that represents this is C.

So, our correct answer is C.

And we're done!

4 0

3 years ago

Read 2 more answers

Find the distance between the two points.

Ne4ueva [31]

Answer:

Step-by-step explanation:

The distance between two points is

d^2=(y2-y1)^2+(x2-x1)^2

D) points (0,0) and (9,12)

d^2=(9-0)^2+(12-0)^2

d^2=81+144

d^2=225

d=15

E) points (1,2) and (-3,5)

d^2=(-3-1)^2+(5-2)^2

d^2=16+9

d^2=25

d=5

3 0

3 years ago

What this is common denominator of 3/3c² 1/9c³ and. x-1/6c. ?

lubasha [3.4K]

It’s going to be 18c³

3 0

3 years ago

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For every 3 green marbles James has, he has 2 yellow marbles. What is the ratio of green to yellow marbles? If James has 12 gree

Sever21 [200]

Is is a 3 to 2 ratio

6 0

3 years ago

For how many different digits n is the two-digit number 6n divisible by n? (The expression 6n should be interpreted as a two-dig

dalvyx [7]

Answer:

6 values n

Step-By-Step Explanation:

If n =1 then 6n = 61

n =2 = 62

n = 3 = 63

n = 4 = 64

n = 5 = 65

n = 6 = 66

These are the only ones that work [ 67/7 , 68/8, 69/9 and 60/0 are not integers (the last is undefined)]

So.....6 values of n

6 0

2 years ago

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