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Klio2033 [76]
2 years ago
15

The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment

Mathematics
1 answer:
natita [175]2 years ago
3 0
Answer:(-1,1,3)

Explanation:

The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.

This is how you calculate the mid of each coordinate separately:

1) x-coordinate:

mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1

2) y-coordinate

mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1

3) z-coordinate

mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3

So, the midpoint is (-1, 1 , 3)


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Answer: 15/91 which is choice B

=================================================================

There are two methods to find this answer.

Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91

--------------------

Method 2) We can use the nCr combination formula. Order does not matter.

We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)

Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)

So that's another way to get the answer 15/91.

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Answer:

Answer Question 1:

Blank 1: Corresponding

Blank 2: congruent

Blank 3: similar

Blank 4:  proportional

Question 2:

Blank 1: shape

Blank 2: size.

Step-by-step explanation:

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Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make
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($) 60 is the profit per item when the selling price is reduced by 20%

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Total amount of money in the savings account after 11 weeks is $1310.

Total money in the account =

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Money added per week = $60

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