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!
Answer:B
Step-by-step explanation:
B is has a proportional x and y value because they're increasing at the same rate which is 0
Answer:
Step-by-step explanation:
81
=
3
4
and
27
=
3
3
, so this equation can also be written as
3
4
x
=
3
3
(
x
+
2
)
=
3
3
x
+
6
.
Since the bases are now the same, we can equate exponents to get
4
x
=
3
x
+
6
so that
x
=
6
(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).
(do u understand?)
6 x 7 = 42
And the missing number is 8, because 7 x 8 = 56.
Step-by-step explanation:
for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.
in our case
(x+8)×8 = 7×16 = 112
8x + 64 = 112
8x = 48
x = 6
so, D-F = x + 8 = 6 + 8 = 14
so, C is correct
