Determine which of the lines, if any, are parallel. Explain.
Line a passes through (-1, - 2) and (1,0).
Line b passes through (4, 2) and (2, – 2).
Line c passes through (0, 2) and (-1,1).
The slopes are

Determine Which Of The Lines, If Any, Are Parallel. Explain.Line A Passes Through (-1, - 2) And (1,0).Line

Answers

Answer 1

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel


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Answer:

Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.

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Answer:

b. reflection, shrink, right 3 and up 4

Step-by-step explanation:

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Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.

Answers

Answer:

Number of liters of 30% solution = x = 3.3 liters

Number of liters of 60% solution = y

= 6.67 liters

Step-by-step explanation:

Let us represent:

Number of liters of 30% solution = x

Number of liters of 60% solution = y

Determine the number of liters of a 30% saline solution and the number of liters of a 60% saline solution that are required to make 10 liters of a 50% saline solution.

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0.3x + 0.6y = 5...... Equation 1

x + y = 10...... Equation 2

x = 10 - y

We substitute 10 - y for x in Equation 1

Hence

0.3(10 - y) + 0.6y = 5

3 - 0.3y + 0.6y = 5

- 0.3y + 0.6y = 5 - 3

0.3y = 2

y = 2/0.3

y = 6.67 liters

Solving for x

x = 10 - y

x = 10 - 6.67

x = 3.33 liters

Hence:

Number of liters of 30% solution = x = 3.3 liters

Number of liters of 60% solution = y

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Step-by-step explenation

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Answers

ANSWER:

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step by step explanation:

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Answers

Answer:

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Answer:

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No
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Is there like a picture that shows it or is that all?

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

answer below:)

Step-by-step explanation:

Basically, start off by simplifying each pair of numbers.

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Step-by-step explanation:

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Answers

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