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solniwko [45]
3 years ago
12

Line segment AB has endpoints A(7, 4) and B(2, 5). Find the coordinates of the point that divides the line segment directed from

A to B in the ratio of 1:3. A) (7, 7 2 ) B) ( 9 2 , 5) C) ( 13 4 , 13 2 ) D) ( 23 4 , 17 4 )
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

(23/4, 17/4)

Step-by-step explanation:

The vector from A to B is ...

... V = B - A = (2-7, 5-4) = (-5, 1)

Point P that divides AB the way you want is 1/4 of that from A:

... P = A + (1/4)×V = (7, 4) + (-5/4, 1/4)

... P = (5 3/4, 4 1/4) = (23/4, 17/4)

You might be interested in
Instructions: Select the correct answer.
zepelin [54]
= 18 1/5 + 22 2/5 + 40 1/5
answer is D. last one
5 0
3 years ago
A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost
iris [78.8K]

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

6 0
3 years ago
Can u guys help me with #1 plz guys now
myrzilka [38]
3

the area is 41.6cm which is 1foot  4 3/8 inches.

So 6in + 6in + 6in = 1ft 6in, which will be enough to cover the floor.
3 0
3 years ago
The ratio of men to women working for a company is 8 to 5. If there are 234 employees total, how many women work for the company
Dimas [21]

Answer:

144

Step-by-step explanation:

The ratio of men to women working for a company is 8 to 5.

Total men and women working as per the ratio is 8+5 = 13

So the ratio of men to total  is  

the ratio of women to total  is  

there are 234 employees total

To find the number of men works , we make a proportion

Cross multiply it

8 * 234 = 13x

1872 = 13x

Divide by 13 on both sides

x= 144

3 0
3 years ago
Read 2 more answers
Please help!
saw5 [17]
Quick Answer: 36 + 10h
Long explanation below
Alright, as we can see in the question, it's asking you to use the commutative property (of addition, 'cause that's the operation being used).
We know that this property states that you can move terms around in an addition problem and still get the same result.

So since there are only two terms in the expression given, you can just switch the terms around, giving you..
36 + 10h.
7 0
3 years ago
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