Find the equation of the line that is perpendicular to y = 2 3 x – 13 and passes though the point (4, –1). A) y = 2 3 x – 5 B) y = 3 2 x – 5 C) y = – 2 3 x + 5 D) y = – 3 2 x + 5

The answer to your question is the letter D.

Step-by-step explanation:

Data

Perpendicular to y = 2/3 x - 13

Point = (4, -1)

Process

1.- Determine the slope of the original line. The slope is the coefficient of the x.

        y = 2/3 x - 13

        slope = 2/3

2.- Determine the slope of the perpendicular line. The new slope is the reciprocal.

        new slope = -3/2

3.- Find the equation of the new line

         (y + 1) = -3/2(x - 4)

-Simplify

          y + 1 = -3/2x + 6

          y = -3/2x + 6 - 1

4.- Result

          y = -3/2x + 5

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

if she was to only spend a dollar she can get 1lb

step-by-step explanation: