Find the midpoint of point A(5,5) and B(-5,9) graphically
2 answers:
Answer:
M(0, 7)
Step-by-step explanation:
The attachment shows a plot of the segment and the X and Y coordinates of the midpoint. These can be found on a graph by counting squares and finding the point that is half the distance horizontally (X) and vertically (Y) between the given points.
The coordinates of the midpoint (M) are the x-coordinate of X (0) and the y-coordinate of Y (7).
M(0, 7) is the midpoint of AB
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The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation , where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and
Simplifying the values, we get,
and
Dividing, we get,
and
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.