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Daniel [21]
4 years ago
13

What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

Mathematics
2 answers:
enyata [817]4 years ago
6 0
You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
- 9 - 8 = - 17
- 17 = - 17 => it is candidate

b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
-12 + 6 = - 2
-6 ≠ -2 => it is not candidate

d) 4x + 3y = - 6

   -6 = - 6 => it is candidate

3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
anygoal [31]4 years ago
4 0
Just took the quiz, it is the last one
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Answer:the first place seller receives $56

The second place seller receives $28

The third place seller receives $20

Step-by-step explanation:

Let x represent the amount that the first place seller would receive.

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Let z represent the amount that the third place seller would receive.

The second place winner will receive 8 more dollars than the third place winner. This means that

z = y - 8

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x = 2y

The profit portion they will share is $ 104. It means that

x + y + z = 104 - - - - - - - - - - - 1

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3 0
3 years ago
Using the information below calculate the area of a triangle. base = 5 meters height = 10 meters
nika2105 [10]
The answer is:  25 m² .
____________________________________

Note: The formula for the area of a triangle is:
 
A = b * h / 2;

in which: 

A = area; 

b = base;
h = height; 
______________________________
A = b * h / 2 ;
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A = (5m * 10 m) / 2 = 50 m² /2 = 25 m² .
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7 0
3 years ago
HELP PLEASE WHAT IS THIS​
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Answer:

B

Step-by-step explanation:

vertical line test means draw lots of vertical lines and see if they pass through two or more points

if they do, the graph is not a function

for example, x= 0 passes through two points

so it is not a function

5 0
3 years ago
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