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cestrela7 [59]
3 years ago
15

Plz help!! 30 points!!

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0
15) perpendicular
16) parallel
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Find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5
bezimeni [28]
\bf (2p-3q)^{11}\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2p)^{11}(-3q)^0\\
2&+11&(2p)^{10}(-3q)^1\\
3&+55&(2p)^9(-3q)^2\\
4&+165&(2p)^8(-3q)^3\\
5&+330&(2p)^7(-3q)^4\\
6&+462&(2p)^6(-3q)^5
\end{array}

the coefficient for the first term is 1, the next is 11 and so on... now, notice, the elements of the binomial, the 1st element starts off with 11, and every term it goes down by 1, the 2nd element starts off at 0, and goes up by 1 in each term.

now, to get the next coefficient, you simply, "get the product of the current coefficient and the exponent of the 1st element, and divide that by the exponent of the 2nd element in the next term".

for example, how did we get 165 for the 4th term.... well  (55*9)/3

how did we get 462 for the 6th term? well (330*7)/5.

and then you can just expand it from there.
8 0
3 years ago
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P/3 - 2 provide an algebraic expression for p divided by 3 plus 2
Sauron [17]
\frac{p}{3}+2
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3 years ago
How much will she need for a 15 person cake? Please show your work.
Elden [556K]

15/5 = 3

Flour = 3/8 x 3 = 9/8 = 1 1/8 cups.

Chocolate chips = 1/2 x 3= 3/2 = 1 1/2 cups.

Butter = 4/5 x 3 = 12/5 = 2 2/5 cups.

Teaspoons of salt = 4/16 = 1/4 = 1/4 x 3 = 3/4

Earthworms = 1.5 = 3/2 x 3 = 9/2 = 4 1/2 cups.

6 0
3 years ago
What is the common factor to 42 and 70
german

Answer:

14

Step-by-step explanation:

 ✩brainliest appreciated✩

8 0
3 years ago
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5a+4c-b<br><img src="https://tex.z-dn.net/?f=5a%20%2B%204c%20-%20b%20" id="TexFormula1" title="5a + 4c - b " alt="5a + 4c - b "
Tatiana [17]
Hi,

5a + 4c - b = 5a + ( - 4bc) \\ 5a - 4bc = 1abc

Hope this helps.
r3t40
8 0
3 years ago
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