What are the solutions of the equation? 12x^2+11x-5=0 a. 5/4, 1/3 b. -5/4, -1/3 c. -5/4, 1/3 d. 5/4, -1/3

Option (C) is correct.

The solution of the quadratic equation  is and

Step-by-step explanation:

Consider the given quadratic equation

We can solve the quadratic equation using middle term splitting method,

11x can be written as 15x-4x , we get,

Taking terms common, we get,

Thus,

Thus, we get  or

this gives or

Thus, the solution of the quadratic equation  is and

answer: 819.89 miles across america

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).