Simplify: x+2/x2-6x-16 ÷ 1/9x

Answers

Answer 1

Answer: $(x+2)/(x^2-6x-16):(1)/(9x)=(x+2)/(x^2-8x+2x-16)\cdot9x=(x+2)/(x(x-8)+2(x-8))\cdot9x\n\n=(x+2)/((x-8)(x+2))\cdot9x=(1)/(x-8)\cdot9x=(9x)/(x-8)$

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How do I solve for x? I tried using law of sines and law of cosines but the angles and sides don't match up.

Use trig to solve for x show work

Answers

For example: 12. cos(20 degrees) = x/25 => x = 25*cos(20degrees).

If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

Answers

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 40ft
hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

brainly.com/question/20142200

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

What is
x=5y-1
x+2y=13

Answers

x=5y-1
x+2y=13 => 5y -1 +2y = 13 => 7y = 14 => y = 2 => x = 9;

Answer: x = 9, y = 2

Step-by-step explanation:

plug in values and solve.

Eliza started the week with $274 in her bank account. This week she babysat for 16 hours and made $144.25. Eliza then went to the store and bought a new video game for $57.99, how much does she have left at the end of the week after buying her video game?

Answers

Hi. I hope this helps!

I believe the answer is 330.26 left.

1. First you add 274 and 144.25

You get 388.25

2. The. You subtract the amount of the video game from 388.25

You get 330.26

I hope this helps! Have a great day!

What is the equation of the following graph?