Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
Only option 1 and 4 are true.
Points S, U, and T are the midpoints of the sides of ΔPQR.
ΔSUT is inside of ΔPQR. Points S, U, and T are the midpoints of ΔPQR.
Which statements are correct? Check all that apply.
1. QP = UT
2. One-halfTS = RQ
3. SU = PR
4. SU ∥ RP
5. UT ⊥ RP
Given to us,
S, U, and T are the midpoints of the sides of ΔPQR.
Using Triangle Midpoint Theorem, which states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
Therefore, only option 1 and 4 are true.
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Answer:
4,000
Step-by-step explanation:
you take this years total (2683)
and add how many more there was last year (1317)
then you get 4000!!
hope it helps
Answer:
the correct answer is 5/6
Step-by-step explanation:
5/1 cakes shared by 6/1 people. To divide, we can freeze flip and multiply the fractions to get to 5/1 * 1/6 = 5/6 cakes per person.
Answer:
81 and above
Step-by-step explanation:
They have to be 81 and above
93+69+89+97=348
348/4=87 (average)
87=81=168
168/2= 84 (average)