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babunello [35]
3 years ago
13

Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of line j.

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Answer:

3x + 2y = 31  

Step-by-step explanation:

Solve the given equation for y to determine the slope of this line:

-3y = -2x = -18, so that y = (2/3)x + 6.

Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.

Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:

5 = (3/2)(-7) + b, or (after multiplying all terms by 2):

10 = -21 + 2b, or 2b = 31, or b = 31/2.

Then the equation is y = (-3/2)x + 31/2.

Let's put this into standard form.  Multiply all terms by 2, obtaining:

2y = -3x + 31, or

3x + 2y = 31    This is the equation of the perpendicular line in question.

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3 years ago
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hoa [83]

Answer:

3,1,2

Step-by-step explanation:

I think it is 3,1,2 but I'm not completely sure lmk if it's correct or incorrect

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6 0
2 years ago
How to do this problem
insens350 [35]

Answer:

multiply 2 with the parenthesis

19-2m<7+8m-8

then you put a dot between -2 amd 3

Step-by-step explanation:

5 0
3 years ago
GIVEN PARALLELOGRAM ABCD, FIND THE LENGTHS AND ANGLES REQUIRED
Scrat [10]
Co-interior properties. 180 degrees = two co-interior angles.

180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5     /5
18 = y

Angle 1: 2y + 50
              2(18) + 50
              36 + 50
              86

Angle 2: 3y + 40
              3(18) + 40
              54 + 40
              94

86 + 94 = 180 so it is true.

Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal

5x + 2 = 8x - 7
        2 = 3x - 7
        9 = 3x
       /3    /3
        3 = x

Side 1: 5x + 2
            5(3) + 2
           15 + 2
           17

Side 2: 8x - 7
            8(3) - 7
            24 - 7
            17

Both sides are equal; 17.

Angle 1: 86
Angle 2: 94
Sides: 17
6 0
3 years ago
1. 4x + 3(x-9) = 19
Dmitry_Shevchenko [17]

1) 4x + 3(x-9) = 19

or, 4x + 3x - 27 = 19

or, 7x = 19+27

or, 7x = 46

or, x = 46/7

◆ x = 6.57

2) 2(x-4) + 5x = 3

or, 2x - 8 + 5x = 3

or, 7x = 3+8

or, x = 11/7

◆ x = 1.57

3) 60 = 8y - 3(y-10)

or, 60 = 8y - 3y + 30

or, 60 - 30 = 5y

or, y = 30/5

◆ y = 6

4) 40 + 3c = 3 + 9(c-2)

or, 40 + 3c = 3 + 9c - 18

or, 40 + 3c = 9c - 15

or, 9c - 3c = 40 + 15

or, 6c = 55

◆ c = 9.166

I hope you understand..

Thank you...♥♥

5 0
2 years ago
Read 2 more answers
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