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4vir4ik [10]
2 years ago
6

bennett was visiting five cities that lie on a coordinate grid at A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1). What is the midpo

int between A and E
Mathematics
1 answer:
bezimeni [28]2 years ago
5 0

The midpoint between A and E is (0,1)

<h3>How to determine the midpoint between A and E?</h3>

The coordinates of the cities are given as:

A(-2,3), B(2,7), C(7,8), D(6,3) and E(2,-1).

From the above, we have:

A = (-2,3)

E = (2,-1)

The midpoint between A and E is calculated using

Midpoint = 1/2 * (x1 + x2, y1 + y2)

Substitute the known values in the above equation

Midpoint = 1/2 * (-2 + 2, 3 - 1)

This gives

Midpoint = 1/2 * (0, 2)

Evaluate the product

Midpoint = (0, 1)

Hence, the midpoint between A and E is (0,1)

Read more about midpoint at

brainly.com/question/5566419

#SPJ1

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The work in an office takes 150 hours to complete every week. Each person in the office works 32hours a week. What is the smalle
tatiyna

Answer:

5

Step-by-step explanation:

To answer this, we must figure out the minimum amount we can add 32 to itself to reach 150. This means that we must multiply 32 by our desired amount, x, to reach the amount of hours closest to 150 (but above/equal to it). To find x, we can divide 150 by 32, and if it gives us a number with no decimals or remainders, that is x, as it is the smallest amount of people to get above/equal to 150. If it gives us a remainder/decimal, we must round up, as we cannot have a part of a person and we must get the work done, so we must get at least 150 hours. 150/32 is 4.6 something, so we must round up. 5 is our answer

8 0
3 years ago
Decide which point lies on the line that is parallel to AB and passes through point P
Serhud [2]
The answer is B because PG is parallel to AB
3 0
3 years ago
-5= s<br> —<br> 18<br> Someone help please I’m stuck
Vlad1618 [11]

-5=s/18

Pretend that s/18 is 1/18s

-5=1/18s

Multiply by 18/1 for both sides

-5(18/1)=1/18(18/1)s

Cross out 1 and 1, divide by 1 and then is one.

Cross out 18 and 18, divide by 18 and then is one.

s=-90

Answer: s=-90

3 0
3 years ago
Find 15/4 + (-4 1/3). Write your answer as a fraction in simplest form.
Montano1993 [528]

Answer:

-17/12

Step-by-step explanation:

15/4 = 3 3/4

3 3/4 -4 1/3 =  3 9/12  -4 4/12  =  -17/12

3 0
2 years ago
An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p
Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Defensive Lineman:

3 from a set of 8. So

C_{8,3} = \frac{8!}{3!5!} = 56

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

C_{7,4} = \frac{7!}{4!3!} = 35

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

C_{7,4} = \frac{7!}{4!3!} = 35

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0
3 years ago
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