Write the quadratic equation whose roots are -6 and 6, and whose leading coefficient is 1 .

The quadratic equation is:

Step-by-step explanation:

If the roots of the quadratic equation are "-6" and "6", then it must have the following factors:  

Therefore, we can write the equation in factor form as:

where a is a real number constant factor. Now, this equation in standard form will look like:

Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant  factor must be "1". The final expression for the quadratic becomes:

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).