Answer:
she will need to get a 100 on the fourth test
Step-by-step explanation:
(252+x)/4 = 88
252+x = 352
x = 100
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:
(9, 27 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3
(3, 9 ) → (3(3), 3(9)) → (9, 27 )
Answer:
10
Step-by-step explanation:
h(x) = 6 - x
(h o h)(x) = h(h(x)) = 6 - h(x) = 6 - (6 - x) = 6 - 6 + x = x
(h o h)(x) = x
(h o h)(10) = 10
Area=length times width
area=28
length=7
28=7 times width
divide both sides by 7
4=width
the width is 4 miles
and perimiter is 22mi
