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3 years ago

Select the equations whose graphs are parallel to the graph of the equation y=23x+5.

Mathematics

1 answer:

iren [92.7K]3 years ago

6 0

Answer:

2x-3y=9 and 4x-6y=30

Step-by-step explanation:

hello :

note y=(2/3)x+5 no y=23x+5

2/3 is the slope....... all lines parallel to this line has same slope.

1) 2x-3y=9 means : 3y = 2x-9 divide by 3 : y=(2/3)x-3..same slope.

2) 4x-6y=30 means : 6y= 4x-30 divide by 6 : y=(4/6)x -30/6

but 4/6 = 2/3 so : y=(2/3)x-5..same slope.

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3 years ago

Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite

yarga [219]

Answer:

Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

$x+y=1$

i.e $x=1-y$ --------------------1

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Putting value of x from equation 1 in equation 2,

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Putting the value of y in equation 1,

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Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.

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3 years ago

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