5n – 3 = |n +9|
Help me

Step-by-step explanation:

Simplifying

5n + -3 = 9 + -1n

Reorder the terms:

-3 + 5n = 9 + -1n

Solving

-3 + 5n = 9 + -1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add 'n' to each side of the equation.

-3 + 5n + n = 9 + -1n + n

Combine like terms: 5n + n = 6n

-3 + 6n = 9 + -1n + n

Combine like terms: -1n + n = 0

-3 + 6n = 9 + 0

-3 + 6n = 9

Add '3' to each side of the equation.

-3 + 3 + 6n = 9 + 3

Combine like terms: -3 + 3 = 0

0 + 6n = 9 + 3

6n = 9 + 3

Combine like terms: 9 + 3 = 12

6n = 12

Divide each side by '6'.

n = 2

Simplifying

n = 2

n-3

Step-by-step explanation:

Simplifying

5n + 3 = n + -9

Reorder the terms:

3 + 5n = n + -9

Reorder the terms:

3 + 5n = -9 + n

Solving

3 + 5n = -9 + n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1n' to each side of the equation.

3 + 5n + -1n = -9 + n + -1n

Combine like terms: 5n + -1n = 4n

3 + 4n = -9 + n + -1n

Combine like terms: n + -1n = 0

3 + 4n = -9 + 0

3 + 4n = -9

Add '-3' to each side of the equation.

3 + -3 + 4n = -9 + -3

Combine like terms: 3 + -3 = 0

0 + 4n = -9 + -3

4n = -9 + -3

Combine like terms: -9 + -3 = -12

4n = -12

Divide each side by '4'.

n = -3

Simplifying

n = -3

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

answer: download photomath it's legit.

step-by-step explanation: