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4 years ago

Evaluate the expression - |7-9|

Mathematics

1 answer:

timama [110]4 years ago

5 0

Answer: -2

Step-by-step explanation: As our first step, we simplify inside the absolute value. 7 - 9 is -2 so we have -|-2|.

A common mistake at this point in the problem is to change the minus a negative to plus a positive but don't fall into this trap.

We must ignore the negative outside the absolute value until our very last step in this problem.

So we take the absolute value of -2 which is 2 and we have -(2) or -2.

Notice that I used parentheses around the 2 as it comes out of the absolute value.

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3 years ago

A container in the shape of this cuboid holds 2 litres of water.

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Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

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Let x be the length of each edge on its base. Then the height of the container is:

$h=2x$

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$V=l\times w\times h$

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Taking cube root on both sides.

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$h=2x$

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