PLS HELP ME WITH THIS!

Step-by-step explanation:For this case we have the following vector:

v = (- 2, -1).

Using product point we have:

v.v = (-2, -1). (- 2, -1)

v ^ 2 = (-2) * (- 2) + (-1) * (- 1)

v ^ 2 = 4 + 1

v ^ 2 = 5

Then, clearing the module we have:

v = root (5)

The module of the vector is given by:

v = root (5)

C. square root of 5

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).