Factor the following and remember to factor out any common factors first.

x^2+8x+15

Enter the factors separated by semicolons. ( ; )

(x+5) (x+3)

Step-by-step explanation:

x^2+8x+15

What two numbers multiply to 15 and add to 8

5*3 = 15

5+3 = 8

(x+5) (x+3)

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).