Identify the equation of the line perpendicular to 9x - 3y = 18. Group of answer choices

A. y = 3x -2

B. 12x + 4y = 24

C. y = 1/3x +9

D. 3y = -x + 1

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

The exemplar equation has slope

9x - 3y = 18

    - 3y = -9x + 18

        y = 3x - 6

m = 3

so perpendicular slope will be -1/3

D has such a slope

3y = -x + 1

 y = (-1/3)x + 1/3

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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