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Ray Of Light [21]
3 years ago
14

What is the solution of y − 4x = 0 and 3x + 6y = 9?

Mathematics
1 answer:
Elden [556K]3 years ago
4 0
You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.

After plugging it into the second, you get:

3x + 6*4x = 9 => 27x = 9 => x=1/3

Putting this solution back into y=4x gives us y=4/3
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consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
3 0
3 years ago
Whats the simpilest form of the ratio <br>48 min to 3 hours.​
MArishka [77]

15:4.

Step-by-step explanation:

1 hour = 60 min

3 hours = 60 x 3 = 180 min

Ratio:

180/48

Simplest form 15/4

Therefore, the simplest form of the ratio will be 15:4

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3 years ago
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PLEASE HELP ME!!
enyata [817]

Answer:

1/3

Step-by-step explanation:

5 0
3 years ago
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