What is the maximum r-value for the polar equation r = -3 + 5 sin theta? note that a maximum r-value is a maximum value of (r), the maximum distance form the pole. a. 8 b. 5 c. 2 d. 3

+2

Step-by-step explanation:

The given equation, r = -3 + 5 sin theta, includes a sine term whose max value is +5 and whose min value is -5.  We are interested in finding the max value that r can have.  To obtain this, take that constant term, -3, and add teh max value of the sine function, which is +5.  Net:  5 - 3 = 2.

The max value that r = -3 + 5 sin theta can take on is +2.

, ; dcbsdkmnld

step-by-step explanation:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3