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3 years ago

a tank is 1/6 full of gasoline. If 8 litres are added it would be 1/4 full. how many litres does the tank hold?

1 answer:

4 0

Find a common denominator between the two

1/6 - 2/12
1/4 - 3/12

3/12 - 2/12 because 2/12 is what you started with

= 1/12

If 1/12 is 8 litres, it’s 8 x 12 = 96

The tank can hold 96 litres.

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1 year ago

Write an equation of the line that passes through the given points. (-1,5) and (2, - 7)

Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

Step(i):-

Given points are (-1,5) and ( 2,-7)

Slope of the line

$m =\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{-7-5}{2-(-1)} = \frac{-12}{3} = -4$

slope of the line m = -4

Step(ii):-

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

$y - y_{1} = m( x-x_{1} )$

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

Final answer:-

The equation of the straight line is 4x +y = 1

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3 years ago