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:
Hello! answer: 432
Step-by-step explanation:
12 × 8 = 96
12 × 8 = 96
12 × 6 = 72
12 × 6 = 72
8 × 6 = 48
8 × 6 = 48
Then you add them all up so...
96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!
Answer:
x=2.83
Step-by-step explanation:
Through visual interpretation we get that,
CDF=FDE+CDE
Hence,
3x+14=5x-2+10x-18
3x-5x-10x=-14-2-18
-12x=-34
x=2.83
Answer:
Part 1:
A - (4,9)
B - (6,3)
C - (1,3)
D - (8,7)
E - (8,9)
To know where to put the dots on the graph, use the coordinates you've just been given:
Example: (4,8)
Move to the 4 on the x-axis (the line on the bottom going horizontal)
Then, move up 8 units (up to the 8 on the y-axis)
Place the point at that spot.
Part 2:
A - (1,2)
B - (2,4)
C - (3,6)
D - (4,8)
Derek decorates 10 cookies in 5 minutes. We know he took 5 minutes to decorate 10 cookies because in the table, the x-axis is told to us that it represents the time it takes. Since the x coordinate is 5 in the point (5,10) and the y coordinate is 10, we can safely say that it took Derek 5 minutes to decorate 10 cookies.