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kozerog [31]
3 years ago
12

Simplify the expression. (d² - d+5) - (-d² + d + 5)​

Mathematics
1 answer:
AysviL [449]3 years ago
8 0

Answer: 2d^2-2d

Step-by-step explanation:

Given

\Rightarrow (d^2-d+5)-(-d^2+d+5)\\\Rightarrow (d^2+d^2)-d-d+5-5=0-2d+0\\\Rightarrow 2d^2-2d=2d(d-1)

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Find the 7th term of the expansion of (3c + 2d)9.
SIZIF [17.4K]
\bf (3c+2d)^9\\\\
-------------------------------\\\\

\begin{array}{crcll}
term&&value\\
-----&&-----\\
1&&(3c)^9(2d)^0\\
2&+9&9(3c)^8(2d)^1\\
3&+36&(3c)^7(2d)^2\\
4&+84&(3c)^6(2d)^3\\
5&+126&(3c)^5(2d)^4\\
6&+126&(3c)^4(2d)^5\\
7&+84&(3c)^3(2d)^6\\
\end{array}

now.. if you notice, the exponent for the 1st term, is dropping on each term subsequently, start with highest, 9 in this case, and drops drops drops, till on the last term, will be 0

the exponent for the second term, starts off at 0, and goes up up and up on each term

that part is simple... now, the coefficient for them

the first one will have a coefficient of 1, so we can take a closer look at the 2nd instead

the coefficient for the second is 1* 9/ 1
(1) the coefficient of the current term, (9) the exponent of the 1st term, and (1) the exponent of the 2nd term on the next term

for example, how did we get 84 for the 4th term?   (36 * 7) / 3 = 84

and so on for all subsequent terms
8 0
3 years ago
Find the missing number: 2016 · 199 = 2016·? +2016 · 98 Pls tell how you did it as well
Alex Ar [27]

Answer:

101

Step-by-step explanation:

Given the expression:

2016 · 199 = 2016·? +2016 · 98

We could rewrite the expression such that the missing value equals x

2016 * 199 = 2016 * x + 2016 * 98

Using BODMAS:

401184 = 2016x + 197568

401184 - 197568 = 2016x

203616 = 2016x

Divide both sides by 2016

203616 / 2016 = 2016x / 2016

101 = x

Hence, missing value is 101

4 0
3 years ago
Read 2 more answers
If the shaded sector is 75m what would the area be of the circle? A. 30 B. 36 C.144 D. 108
fredd [130]
The correct answer is letter B
8 0
2 years ago
The answer to 14 I don't understand how to classify it
Nikitich [7]
The classification would be a right triangle
6 0
3 years ago
Pls help I dont know how to do this​
german

Answer:

  • 1. CE = 63
  • 2. x = 16

Step-by-step explanation:

Use proportions to solve.

Corresponding sides have same ratio.

<u>Question 1</u>

  • DE/EG = CE/EF
  • (6x + 3)/17 = (8x - 1)/21
  • 21(6x + 3) = 17(8x - 1)
  • 126x + 63 = 136x - 17
  • 10x = 80
  • x = 8
  • CE = 8*8 - 1
  • CE = 63

<u>Question 2</u>

  • KM/MD = KZ/ZH
  • (x + 8)/21 = 32/28
  • x + 8 = 21*8/7
  • x + 8 = 24
  • x = 24 - 8
  • x = 16
5 0
3 years ago
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