What is the equation for this cosine function?

2pi ÷ 6pi/5

2pi × 5/6pi = 5/3

5 cos[(5/3)x] - 6

f(x) = 5 cos (5/3)x - 6.

Step-by-step explanation:

The function will be of the form f(x) = AcosB + c   where B is the frequency.

The period of  cos x is 2π and and of this function it is  6π/5 the  value of B (the frequency) is calculated  as follows:

Period = 2π/ B

B = 2π /  6π/5

= 5/3.

A is the amplitude which is 5 and c is the  vertical displacement which is -6.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.