﻿ What is the equation of the line perpendicular to 2x − 7y = −42 that contains the point (6, −3)? - AssignmentGrade.com

# What is the equation of the line perpendicular to 2x − 7y = −42 that contains the point (6, −3)?

QUESTION POSTED AT 26/03/2020 - 08:17 AM

Hello:
the equation is : y = ax+b
the slope is a : a×(2/7) = -1......( perpendicular to a line with a slope of   2/7)            because :     2x-7y =-42...y=(2/7)x+6    )

a = -7/2         y=(-7/2)x+b
the line that passes through (6, -3) :- 3 = (-7/2)(6)+b
b =18
the equation is :  y  = (-7/2)x+18

## Related questions

### At another theater workers have to cut a new trap door.the door can be no mre than 130 sq ft in the area with whole number side lengths.they have to bring in 3 items to the stage.the first item is 6 feet,5 inches wide and 8 feet,9 inches long.the seconed item is 13 feet,4 inches wide and 7 feet, 8 inches long.the third item is 5 feet,6 inches wide and12 feet, 4 inches long. what size of trap door would you reccomend? what is the perimeter of the trap door

HhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhGiven:
trap door = 130 square feet.

1st item: 6ft 5in wide & 8ft 9in long
⇒ (6ft * 12 in) + 5 in & (8ft *12 in) + 9 in
⇒ 77inches by 105 inches
⇒ 8,085 square inches

2nd item: 13ft 4in wide & 7ft 8in long
⇒ (13ft * 12in)+ 4 in & (7ft *12in) + 8 in
⇒ 160 inches by 92 inches
⇒ 14,720 square inches

3rd item: 5ft 6in wide & 12ft 4in long
⇒ (5 ft * 12in) + 6 in & (12ft * 12in) + 4in
⇒ 66 inches by 148 inches
⇒ 9,768 square inches

130 square feet convert to square inches.
130 sq. ft * 144 sq.in/sq.ft = 18,720 sq. in

18,720 sq. in / 160 inches = 117 inches

Length = 160 inches ; Width = 117 inches
Perimeter = 2(160 + 117)
P = 2(277)
P = 554 inches
P = 2(277)
P = 554 inches

ANSWERED AT 01/04/2020 - 01:48 PM

QUESTION POSTED AT 01/04/2020 - 01:48 PM

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ANSWERED AT 01/04/2020 - 01:48 PM

QUESTION POSTED AT 01/04/2020 - 01:48 PM

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ANSWERED AT 01/04/2020 - 01:39 PM

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Step-by-step explanation:

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ANSWERED AT 01/04/2020 - 01:38 PM

QUESTION POSTED AT 01/04/2020 - 01:38 PM

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ANSWERED AT 01/04/2020 - 01:38 PM

QUESTION POSTED AT 01/04/2020 - 01:38 PM

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ANSWERED AT 01/04/2020 - 01:37 PM

QUESTION POSTED AT 01/04/2020 - 01:37 PM

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ANSWERED AT 01/04/2020 - 01:36 PM

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ANSWERED AT 01/04/2020 - 01:33 PM

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