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liberstina [14]
3 years ago
7

Find the distance between the two points rounding to the nearest tenth

Mathematics
1 answer:
Nataly_w [17]3 years ago
6 0

Answer:

10

Explanation:

A=(-2,2)

B=(-8,-6)

|AB|=

\sqrt{ {( - 2 + 8)}^{2} +  {(2 + 6)}^{2}  }  =  \sqrt{36 + 64}  =  \sqrt{100}  = 10

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Expand the following using the Binomial Theorem and Pascal’s triangle. (x + 2)6 (x − 4)4 (2x + 3)5 (2x − 3y)4 In the expansion o
ivolga24 [154]
\bf (2x+3)^5\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^5(+3)^0\\
2&+5&(2x)^4(+3)^1\\
3&+10&(2x)^3(+3)^2\\
4&+10&(2x)^2(+3)^3\\
5&+5&(2x)^1(+3)^4\\
6&+1&(2x)^0(+3)^5
\end{array}

as you can see, the terms exponents, for the first term, starts at highest, 5 in this case, then every element it goes down by 1, till it gets to 0

for the second term, starts at 0, and every element it goes up by 1, till it gets to the highest

now, to get the coefficient, they way I get it, is "the product of the current coefficient and the exponent of the first term, divided by the exponent of the second term plus 1"

notice the first coefficient is always 1

so...how did we get 10 for the 3rd element?  well, 5*4/2
how did we get 10 for the fourth element?  well, 10*2/4


\bf (2x-3y)^4\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(2x)^4(-3y)^0\\
2&+4&(2x)^3(-3y)^1\\
3&+6&(2x)^2(-3y)^2\\
4&+4&(2x)^1(-3y)^3\\
5&+1&(2x)^0(-3y)^4
\end{array}


\bf (3a+4b)^8\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&&(3a)^8(+4b)^0\\
2&+8&(3a)^7(+4b)^1\\
3&+28&(3a)^6(+4b)^2\\
4&+56&(3a)^5(+4b)^3\\
5&+70&(3a)^4(+4b)^4\\
6&+56&(3a)^3(+4b)^5\\
7&+28&(3a)^2(+4b)^6\\
8&+8&(3a)^1(+4b)^7\\
9&+1&(3a)^0(+4b)^8
\end{array}

and from there, you can simplify the elements of the expansion by combining the coefficients

like for example, the 7th element of (3a+4b)⁸ will then be 1032192a²b⁶
7 0
3 years ago
Read 2 more answers
How many people can seat a theater if there are 156 seats and each row of seat has 13 rows.how many have a seat?
Elan Coil [88]
How you wrote it is kind of confusing but if I'm reading what you're saying right. There are 2028 . <span />
5 0
3 years ago
What is the mean, median and mode of the following data set? Please label each response.
irinina [24]

Answer:

Mean: 21

Median: 23

Mode: 27

Step-by-step explanation:

order from least to greatest:

1, 15, 18, 22, 23, 25, 27, 27, 31

mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is

21

Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23

Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27

8 0
3 years ago
What is the least common multiple (LCM) of 6 and 10?<br> OA. 2.<br> OB. 20<br> O C. 30<br> OD. 60
Naily [24]

Answer:

30

Step-by-step explanation:

hhhhjj+hbggggggggggggggggggggffffffgfgggggggggggg

4 0
3 years ago
Read 2 more answers
Help Please!! I am not sure what to do?
Iteru [2.4K]

Answer:

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Step-by-step explanation:

The square root of 111 is approximately 10.536.

A number smaller than this is 10.

A number larger than this is 11.

5 0
3 years ago
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