Which list of ordered pairs represents solutions to x + y = 2 ? (-4, 6), (0, 2), (4, 2) (-4, -6), (0, 2), (4, 2) (-4, 6), (0, 2), (4, -2)

Answers

Answer 1

Answer: The coordinates simply have to be plugged into the equation and determine whether the result is 2.
-4 + 6 =  2
0 + 2 = 2
4 + 2 =  6
-4 + -6 = -10
0 + 2 =  2
4 + 2 = 6
-4 + 6 = 2
0 + 2 = 2
4 + -2 = 2

The solutions (without repeating pairs) are:
(-4, 6), (0, 2), (4, -2)

Answer 2

Answer:

Answer:

C: (-4, 6), (0, 2), (4, -2)

Step-by-step explanation:

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What is the value of n in the equation: 8n + 9 = -n +5

Answers

Answer:

n = -4/9

Step-by-step explanation:

8n + 9 = -n +5

Add n to each side

8n+n + 9 = -n+n +5

9n +9 = 5

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Which represents the equation of the line?

Answers

Answer:

D: y= -2x -1

Step-by-step explanation:

The line crosses the y axis at -1 and using the "rise over run" phrase you can tell that the next point is 2 up and 1 over (2/1 =2) the line is also negative because it moves down from left to right. Therefore, y= -2 -1

The distance from Earth to the Moon is approximately 240,000 mi.. The speed of light is 3.00 * 10^8 m/s. How long does it take for light to travel from Earth to the Moon and back again?. Please Show work.

Answers

First we have to convert miles to meters:
1 mile ≈ 1,609.34 m
Time of traveling one way:
$t = (240,000 * 1,609.34m)/(3.00*10^(8)m/s ) = \n = (8*10 ^(4) *1,609.34s)/(10 ^(8) ) = (8*1,609.34 s)/(10,000)$ = 1.28 s
From Earth to the Moon and back time is: 2 · 1.28 s = 2.56 s

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