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3 years ago

Expand. If necessary, combine like terms. (x – 5)2 =

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

To expand you must first distribute (multiply) the 2 to the numbers inside the parentheses

2(x - 5)

(2 * x) + (2 * (-5) )

2x + (-10)

2x - 10

There are no like terms, therefore (x - 5)2 expanded is 2x - 10

Hope this helped!

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2 years ago

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3 years ago

Find x Thanks for the help in advance!

Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

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If we solve the first two equations for y squared, we have

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(we can't accept the negative root because negative lengths make no sense)

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2 years ago