Hi there...
2( x - 6) < 1/2(12x - 8)
2x - 12 < (12x- 8)/2
2x - 12 < 6x - 4
2x - 6x < -4 + 12
-4x < 8
Divide both sides by -4
-4x/-4 < 8/-4
x > - 2
Your answer is D. 16x² - 56xy + 49y².
A perfect square trinomial is the result of a squared binomial, like (a + b)². Using this example, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.
Therefore, to determine which of these is a perfect square trinomial, we have to see if it can be factorised into the form (a + b)².
I did this by first square rooting the 16x² and 49y² to get 4x and 7y as our two terms in the brackets. We automatically know the answer isn't A or B as you cannot have a negative square number.
Now that we know the brackets are (4x + 7y)², we can expand to find out what the middle term is, so:
(4x + 7y)(4x + 7y)
= 16x² + (7y × 4x) + (7y × 4x) + 49y²
= 16x² + 28xy + 28xy + 49y²
= 16x² + 56xy + 49y².
So we know that the middle number is 56xy. Now we assumed that it was (4x + 7y)², but the same 16x² and 49y² can also be formed by (4x - 7y)², and expanding this bracket turns the +56xy into -56xy, forming option D, 16x² - 56xy + 49y².
I hope this helps!
Yes. There are 2 decimal places in .51 and 3 in 2.427.
So there would be a total of 5 decimal places.
Answer:
Frank is wrong
Step-by-step explanation:
35 is a multiply by 5 so it is not a prime number.
