Answer: D. 160
Why is 15 + 1/2 an algebraic expression?
2 answers:
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Answer: Choice B) (2,0)
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Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
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Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
original slope = -4/3
parallel slope = -4/3
Explanation:For a line to be parallel to anpother line, the slope of both lines must be equal.
We need to find the slope of the given line by picking any two points on the line.
Using points (-6, 5) and (0, -3)
slope formula:
The equation of the given line: y = mx + b
b = y-intercept = -3
y = -4/3x - 3
The equation line parallel to the one above could be:
y = -4/3 x + 7
This because the slope are the same
original slope = -4/3
parallel slope = -4/3
plotting the graph of the lline parallel to the first one:
