For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the new equation, find x if the point P(x, 4) lies on the new line. a. y=3x-1 b. y=1/4 x+2

Below in bold letters.

Step-by-step explanation:

a. y = 3x - 1.

The equation of the perpendicular line will have slope -1/ 3.

So we have the equation y - y1 = -1/3(x - x1)  where (x1, y1) is a point on this perpendicular line.

As the line passes through (0,0):

y - 0 = 1/3(x - 0)

y = -1/3x is the required equation.

If  x,4 is on the line then x  is found by substituting for y:

4 = -1/3 x

x = 4 / -1/3

x = 4*-3 = -12.

b. y = 1/4x + 2

By the same method as in part a:

the equation is y = -4x.

x = 4 / -4 = -1.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.