28,086 views
21 votes
21 votes
If (h + h) · (h. h) = 16, find the value of h.
— HELP ME PLEASEEEE

User Elhoej
by
3.2k points

1 Answer

27 votes
27 votes

Answer:

h = 2

Explanation:

I'm assuming your periods are multiplication signs.

(h + h) X (h X h) = 16

When adding two variables like the first set of parentheses, it would become 2h. When multiplying two like variables, you add the exponents. h is the same as writing h¹. So h¹ x h¹ gives you the answer of h².

So now your equation would look like:

2h X h² = 16

As above, when you multiply two like variables you would add the exponents. Also if any number are in front of the variable you would multiply those numbers. So you have 2h¹ x 1h² and that would be 2h³. If it had been

2h¹ x 2h², your answer would have been 4h³.

But so far you have 2h¹ x 1h² = 16

2h³ = 16

Dividing both sides by 2 you get

h³ = 8

To find h you have to take the cubed root of 8. What number multiplied by itself 3 times gives you 8? 2 x 2 x 2 = 8 2 x 2 = 4 and x 2 = 8.

h = 2

If you put this into the original equation you have:

(2 + 2) x ( 2 x 2) = 16

( 4 ) x ( 4 ) = 16

User Marmarta
by
3.0k points