Find the distance represented of the coordinate plane

The answer to your question is: letter A

Step-by-step explanation:

From the graph we get the points,

P (2,1)

Q (6,8)

Formula

d = √((x2-x1)² + (y2-y1)²)

d = √((6-2)² + (8-1)²)

d = √ (4² + 7²)

d = √ (16 + 49

d = √65           letter A

d

step-by-step explanation:

d

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).