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The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>
Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope =
(equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope=
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
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Answer:
A
Step-by-step explanation:
Because we are reflecting across the X-axis, the X coordinate does not change. On the other hand, the Y coordinate becomes its opposite. So we get:
(2, 4) -> (2, -4)
A cannot be the answer.
The maximum distance he can travel is 420 miles. He has gone 180. He still has 420 - 180 = 240 miles left to go.
C The distance is correct in the first set of brackets, but you cannot add distance divided by time (which is a speed) to distance.
D is incorrect. The first set of brackets is correct, but the second set is meaningless. Distances and rates do not mix.
B <<<<< Answer If you divide the remaining distance (240) by the rate (180/3) you get the correct answer of 4 hours.
B <<<< answer.