Answer:
A, B and D are true statements.
Step-by-step explanation:
We are given a binomial expansion
Now we will check each option
Option A: The coefficients of 
and 
both equal 1.
If we see first and last term of the expansion, This statement is true.
Option B: For any term 
in the expansion, a + b = n.
Let we take 3rd term of expansion 
Here, a=n-2 and b=2
If we do a+b = n-2+2=n
a+b=n is true statement.
Option C: For any term x^ay^b in the expansion, a - b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a-b = n-2-2=n-4≠n
a-b=n is false statement.
Option D: The coefficients of x^ay^b and x^by^a are equal.
If we take second term from beginning and last of the expansion.
This statement true.
Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
Answer:
5
Step-by-step explanation:
G.C.F means greatest common factor
this means the highest number that will go into both 25 and 40
5 is the highest number that will divide into both
7-foot
EXPLANAT
Given:
14 foot tree
8foot shadow
4foot shadow
Let h be the height of a tee that casts a 4 foot long shadow.
Using proportion;
14 foot = 8 ft shadow
h = 4 ft shadow
Cross - multiply
8h = 56
Divide both-side by 8
h = 7 foot.
Hence, the tree is 7-foot.
Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
