For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the function. f(0) = 4; f(pi/4) = 0; f(pi/2) = -4; f(3pi/4) = 0; f(pi) = 4 what is the rule for the cosine function? a) y= 2 cos 4 theta b) y= 4 cos 2 theta c) y= -4 cos 3 theta d) y= 1/4cos 2 theta

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.