Complete the equation so that there will be exactly one real solution.

4(3x + 2) - x = x - 3

One real solution x = - 11/10

Step-by-step explanation:

4(3x + 2) - x = x - 3

Expand by using distributive property

12x + 8 - x = x - 3

Combine like terms

11x + 8 = x - 3

Subtract x from both sides

10x + 8 = - 3

Subtract 8 from both sides

10x = - 11

Divide both sides by 10

  x = -11/10

One real solution x = - 11/10

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).