Simplify completely 8x-56 over x2-49 divided by x-6 over x2 +11x +28

8(x+4)

  x-6

Step-by-step explanation:

8x - 56          x-6

  ÷

x^2 - 49       x^2 + 11x + 28

Copy dot flip

8x - 56          x^2 +11x+28

  *

x^2 - 49       x-6

Factor

8(x - 7)          (x+7)(x+4)

  *

(x-7)(x+7)       x-6

Cancel like terms

8(x+4)

      x-6

36

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).