Answer:
mathematicallly error sentence!
Is the answer 25? Thats what I got.
So line b is (0,0) and (4, -3/2)
slope = m = y2-y1/ x2-x1
= -3/2 - 0 / (4-0 )= -3/8
now using point slope y-y1=m(x-x1)
m=-3/8 and point is (0,0) to make it easier
y-0 = -3/8 (x-0)
y=-3/8x
so we have the first line done, now another line is parallel to line b which means they have the same slope
line 2 has slope = m = -3/8
and point (0,-7)
using point slope again y-y1=m(x-x1)
y- (-7) = (-3/8) (x-0)
y=(-3/8)x -7
hope that helps and is right
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!
