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andreev551 [17]
3 years ago
10

So yeah if someone can help me with

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

y = x - 5

Step-by-step explanation:

The equation of the line parallel to the line $ ax + by + c_1 = 0$ is $ ax + by + c_2 = 0 $.

That is, equations of parallel lines differ only by constant.

The given equation is $ y = x + 4 $

This is written as $ x - y + 4 = 0 $

Therefore, the equation of the line parallel to this line is given by $ x - y + c = 0 $

The value of c is determined using the point given.

Substituting the point (3,-2) we get:

$ 3 + 2 + c = 0$

$ \implies c = -5 $

Therefore, the equation of the line becomes y = x - 5.

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<u>Answer:</u>

The total number of whole cups that we can fit in the dispenser is 25

<u>Solution:</u>

It is given that the height of each cup is 20 cm.

But when we stack them one on top of the other, they only add a height of 0.8 to the stack.  

The stack of cups has to be put in a dispenser of height 30 cm.

So we need o find out how many cups can fit in the dispenser.

Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser

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30 - 20 = 10 cm

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10 + 0.8x = 30

0.8x = 20

x = 25

The total number of cups that we can fit in dispenser is 25

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