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

Answered by admin 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

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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

45÷3=15 is the same as___ ÷3 plus_____÷3=______

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ANSWERED AT 01/04/2020 - 01:47 PM


QUESTION POSTED AT 01/04/2020 - 01:47 PM

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#15
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...

ANSWERED AT 01/04/2020 - 01:46 PM


QUESTION POSTED AT 01/04/2020 - 01:46 PM

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ANSWERED AT 01/04/2020 - 01:45 PM


QUESTION POSTED AT 01/04/2020 - 01:45 PM

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ANSWERED AT 01/04/2020 - 01:43 PM


QUESTION POSTED AT 01/04/2020 - 01:43 PM

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ANSWERED AT 01/04/2020 - 01:43 PM


QUESTION POSTED AT 01/04/2020 - 01:43 PM

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ANSWERED AT 01/04/2020 - 01:42 PM


QUESTION POSTED AT 01/04/2020 - 01:42 PM

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ANSWERED AT 01/04/2020 - 01:40 PM


QUESTION POSTED AT 01/04/2020 - 01:40 PM

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ANSWERED AT 01/04/2020 - 01:40 PM


QUESTION POSTED AT 01/04/2020 - 01:40 PM

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


QUESTION POSTED AT 01/04/2020 - 01:39 PM

What is the round to the biggest place value for 613 42,398 68,765 20,799 I need to now how to calculate it I'm trying help my son thank you

I am happy to help but what do you mean by this question? I don't quite get it. If you would type it under comments then I will try to find the answer. Thanks!

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


QUESTION POSTED AT 01/04/2020 - 01:39 PM

What is the intercept of y equals negative 3 over 5x minus twelve

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


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

Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months

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Step-by-step explanation:

Given,

The monthly income = $ 2,415.64,

Discretionary monies (Money left after expenses) = 54 % of the monthly income

Fixed expenses for a month = (100-54)% of total monthly income

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


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

What is the round to the biggest place value for 613 42,398 68,765 20,799 And how you calculate it I'm trying to help my son

To round 613 42,398 68,765 20,799 you first have to look at the second digit and 3rd digit for the number. If it is 4 or less round down if it is 5 or more round up. For example for 613 you would round it to 610. On 42398 you round it to 42000. For 68765 you would round to 69000, On 20799 you would round to 21000. I hope this helped you out and your son.

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 - 01:37 PM


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

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


QUESTION POSTED AT 01/04/2020 - 01:36 PM

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Option (A) is correct .

Step-by-step explanation:

As given the statement in the question be as follow.

Shoes salesman sold 3 pairs of shoes for $70 each and 2 pairs of shoes for $80 each.

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As given

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30% is written is decimal form

= \frac{30}{100}

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Commission earns = 0.30 × Total cost of the pair of shoes .

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Option (A) is correct .

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


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


QUESTION POSTED AT 01/04/2020 - 01:36 PM

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ANSWERED AT 01/04/2020 - 01:35 PM


QUESTION POSTED AT 01/04/2020 - 01:35 PM

Michaels basketball team practiced for 2 hours 40 minutes yesterday and 3 hours 15 minutes today. How much longer did the team practice today than yesterday

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ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

A line passes through the points (4, 19) and (9, 24) write a linear function in the form y=mx+b for this line

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ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

Which of the following rational numbers is equal to 2 point 6 with bar over 6? twenty two over nine twenty four over nine twenty six over nine twenty eight over nine

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______________________________________________
     "Twenty-four over nine"  = 24/9 = (24÷3) / (9 ÷3) = 8/3 = 2.6666666......
______________________________________________

ANSWERED AT 01/04/2020 - 01:34 PM


QUESTION POSTED AT 01/04/2020 - 01:34 PM

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


QUESTION POSTED AT 01/04/2020 - 01:33 PM

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Answer is going to be 15

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


QUESTION POSTED AT 01/04/2020 - 01:33 PM