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icang [17]
2 years ago
13

What is an equation of the line that passes through the points (4,-5) and (-2,7)

Mathematics
1 answer:
Korvikt [17]2 years ago
5 0

Answer:

y = -2x + 3

Step-by-step explanation:

y2 - y1/ x2 - x1

7 - (-5) / -2 - 4

-2

The slope is -2.

To find the y-intercept, you need to plug the coordinates into the equation.

y = -2x + b

7 = -2(-2) + b

7 = 4 + b

3 = b

y = -2x + 3

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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
Fantom [35]

Answer:the number of coach tickets that she bought is 5

the number of first class tickets that she bought is 6

Step-by-step explanation:

Let x represent the number of coach tickets that she bought.

Let y represent the number of first class tickets that she bought.

The total number of people that went for the round trip is 11. This means that

x + y = 11

She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. This means that

340x + 1190y = 8840 - - - - - - - 1

Substituting x = 11 - y into equation 1, it becomes

340(11-y) + 1190y = 8840

3740 - 340y + 1190y = 8840

- 340y + 1190y = 8840 - 3740

850y = 5100

y = 5100/850 = 6

x = 11 - y

x = 11 - 6 = 5

4 0
3 years ago
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Allushta [10]

Answer:

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5 0
3 years ago
A regular pentagonal prism has a volume of 2,850 cubic millimeters. what is the height of the prism? a regular pentagonal prism
zlopas [31]

Answer:

Height = 19mm.

Step-by-step explanation:

Area of a regular polygon =  (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem,  P = Perimeter.

Here A = 5, P = 5*12 = 60 so

Area  of the base  = (5 * 60) / 2 = 150 mm^2.

Volume = area base * height so

Height = volume / area of base

            = 2850 / 150

            = 19 mm.

5 0
1 year ago
One step equations<br> 6r=42
zvonat [6]

R=7

I hope that help you! :)

3 0
3 years ago
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Please solve this for me
tatuchka [14]

Answer:

3-3x/8

Step-by-step explanation:

4 0
3 years ago
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