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3 years ago

Find the equation of the line.

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the Same Slope. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

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3 years ago

The key features of a log graph?

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3 years ago

What is the greatest common factor between 24 & 28

Elis [28]

24:
1 and 24
6 and 4
2 and 3 2 and 2

So 24 = 1 X 2^3 X 3

28:
1 and 28
7 and 4
2 and 2

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3 years ago

A boat costs $19,200 and decreases in value by 12%. How much will devote be worth after 5 years?

saveliy_v [14]

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3 years ago

Bloomington Nail Salon is having a special this month on services. Over the weekend, they performed 49 manicures and 16 pedicure

marshall27 [118]

Answer: The salon charges $16 for a manicure and $25 for a pedicure.

Step-by-step explanation:

Let x represent the amount charged by the salon for a manicure.

Let y represent the amount charged by the salon for a pedicure.

Over the weekend, they performed 49 manicures and 16 pedicures, bringing in a total of $1,184 in receipts. It means that

49x + 16y = 1184- - - - - - - - - - 1

So far this week, they have administered 31 manicures and 33 pedicures, with receipts totalling $1,321. It means that

31x + 33y = 1321- - - - - - - - - - 2

Multiplying equation 1 by 31 and equation 2 by 49, it becomes

1519x + 496y = 36704

1519x + 1617y = 64729

Subtracting, it becomes

- 1121y = - 28025

y = - 28025/- 1121

y = $25

Substituting y = 25 into equation 1, it becomes

49x + 16 × 25 = 1184

49x + 400 = 1184

49x = 1184 - 400

49x = 784

x = 784/49

x = $16

5 0

4 years ago