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Gnesinka [82]
3 years ago
13

What is the answer for this equation-18-6k=(1+3k)

Mathematics
1 answer:
kompoz [17]3 years ago
3 0
-18 - 6k = 1 + 3k
-6k - 3k = 1 + 18
-9k = 19
k = -19/9 or - 2 1/9
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Try to refrain from asking more than three questions per question for future reference. 

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insens350 [35]

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8 0
2 years ago
Read 2 more answers
Find the point on the line 2x+4y−3=0 which is closest to the point (2,0)
Finger [1]
L1: 2x+4y-3=0 ..........(1)
P: (2,0)
The point on the line L1 closest to the given point P is at the intersection of L1 with L2, which is the perpendicular passing through P. 

Slope of L1=-2/4=-1/2
Slope of L2=-1/(-1/2)=2
Since it passes throug P(2,0), we can use the point-slope formula:
(y-0)=2(x-2)  =>
L2: 2x-y-4=0.............(2)

Solve for x & y using (1) and (2) to get intersection point required:
(1)-(2)
2x-2x + 4y-(-y) -3 -(-4) =0
5y=-1, y=-1/5
Substitute y=1/5 in equation (1)
2x+4(-1/5)-3=0 =>
2x-19/5=0
x=19/10

=> the point on L1 closest to (2,0) is (19/10, -1/5)

7 0
3 years ago
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