What is n^+8n+16 in factored form

factored form: (n + 4)²

Solving for n: n = -4

Step-by-step explanation:

n² + 8n + 16

To solve this, simplify. Note that the factors of n² & 16, when combined, must equal 8n. Find factors of 16:

Factors of 16:

1, 2, 4, 8, 16

Use the factor 4:

n² + 8n + 16

n              4

n              4

(n + 4)(n +4) = (n + 4)² is your factored form.

If you need to, solve for n. Take one of the parenthesis, and set it equal to 0:

(n + 4) = 0

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides:

n + 4 (-4) = 0 (-4)

n = 0 - 4

n = -4

~

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).