Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x2(x − 3)(x + 7) B. 5x3(x + 3)(x − 7) C. 5x2(x + 3)(x − 7) D. 5x3(x − 3)(x + 7)

the correct answer would be C

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).