Find the values of x and y in the following equation. (x+yi)+(4+9i)=9-4i a. x = -9 and y = 4 b. x = 5 and y = -13 c. x = 5 and y = 13 d. x = 9 and y = -4

B. x = 5 and y = -13

Step-by-step explanation:

Subtract the constant on the left:

... (x +yi) = (9 -4i) -(4 +9i)

... = (9 -4 +i(-4-9))

... = 5 -13i

Matching real and imaginary parts, we see that ...

... x = 5, y = -13

The correct option is 2.

Step-by-step explanation:

The given data points are (0, 15), (1, 10), (2, 12), (3, 13), (4, 7), (5, 8), (6, 8), (7, 4), (8, 5), (9, 3), (10,0).

The general linear regression model is

        .... (1)

Using the graphing calculator, we get

a=-1.28181818..

b=14.1363636..

Put these values in equation (1).

At x=0,

At x=10,

It means the line of best fit passes through (0,14) and (10,1). Therefore the correct option is 2.