What are the factors of 2x^2+11x+15

(x + 3)(2x + 5)

Step-by-step explanation:

Given

2x² + 11x + 15

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 15 = 30 and sum = + 11

The factors are + 6 and + 5

Use these factors to split the x- term

2x² + 6x + 5x + 15 ( factor the first/second and third/fourth terms )

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5)

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

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).