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!
To find the gradient you do change in y/change in x so...
-12 - 0
————- = -12/4 = -3
0 - - 4
Hope this helps! Any questions let me know :)
Answer:
The students went on vacation for average 40 days.
The high school students went for more days than college students.
Step-by-step explanation:
The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.
Answer:
This might be wrong but I think it is C
Step-by-step explanation:
Answer:
Option D is correct.
75 miles is the total distance in miles to Kirk's grandmother's house
Step-by-step explanation:
Let x represents the total distance in miles to Kirk's grandmother's house.
As per the statement:
Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house
⇒ Distance Kirk's family drove = 36 miles.
then;
36 = 48% of x
Multiply both sides by 100 we get;
3600 = 48x
Divide both sides by 48 we have;
75 miles = x
Therefore, the total distance in miles to Kirk's grandmother's house is 75 miles
