All categories

3 years ago

What are the solutions of the following equation? 5∣x+6∣+8=−6∣x+6∣+8

1 answer:

3 0

So think of |x+6| as a single object. Move the -6|x+6| to the left side and move the 8 to the right side to get 11|x+6| = 0. Then divide both sides by 11 to get |x+6| = 0 and in this instance the || can be dropped because +0 and -0 are the same. so x + 6 = 0 or x=-6

You might be interested in

What are the sets of 5x > 125

Lisa [10]

Answer:

x >25

Step-by-step explanation:

4 0

2 years ago

If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).

NemiM [27]

Cosine is $\frac{hypotenuse}{adjacent}$ .

Apply the equation:

$sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2} = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2$

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

5 0

2 years ago

-8xc = 1 solve for x

Nastasia [14]

Answer:

[-8c]⁻¹ = x

Step-by-step explanation:

-8xc = 1

____ ___

-8c -8c

$x = - \frac{1}{8c} \\ \\ or \\ \\ x = ({ -8c})^{-1}$

This, according to the Negative Exponential Rule [Reverse], is how you write this as a rational exponent. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

b⁻ⁿ = 1\bⁿ

I am joyous to assist you anytime.

3 0

3 years ago

I NEED HELP FAST PLEAASE I BEG U!!!!!

motikmotik

Answer:

You must mix 2.67 gals. of pure alcohol to obtain the desired mixture.

4 0

3 years ago

Jayson’s car can go 300 miles on 12.5 gallons of gasoline. How far can he drive on 42 gallons of gas?

fomenos

$300\ miles\ on\ 12,5\ gallons\\
x\ miles\ \ on\ \ \ 42\ gallons\\\\
Making\ proportion:\\
300-12,5\\
x-42\\\\
Cross\ multiplication\\
300*42=12,5x\\\\12600=12,5x\ \ \ | divide\ by\ 12,5\\\\
x=1008\\\\
He\ can\ drive\ 1008\ miles\ on\ 42 \ gallons\ of\ gas.$

6 0

3 years ago