Find the area of the following triangle:
1 answer:
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So, the numbers to base your solution set on are -2 and 4 (the numbers that the equation equal to 0)
Then, you plug in 3 numbers to the equation: a number less than -2, a number between -2 and 4, and a number greater than 4. They represent the three sections of the number line created by the points -2 and 4. So, our numbers will be -3, 0, and 5:
7<0 is incorrect, so the section of the number line less than -2 does not work.
-8<0 is correct, so the section of the number line between -2 and 4 works.
7<0 is incorrect, so the section of the number line above 4 does not work.
So, only the section between -2 and 4 works. However, the problem is a "less than" problem, not a "less than or equal to" problem, so -2 and 4 are not included in the solution set. That gives you the answer:
(-2, 4) (NOT BRACKETS because -2 and 4 are not included)
check the first picture below.
those are the table of values we get for both, at 1 through 5 seconds.
why are both functions equal between the 4th and 5th second?
h(t) is the distance from the ground, check the second picture below, that's pretty much the graph of h(t) usually.
g(t) is the height of the object from the ground.
whilst g(t) is ever increasing, h(t) goes up, reaches a peak point, the vertex, and then goes back down, on its way down, it drops to 69 and then to 0 at the 5th second, however, between 69 and 0, it dropped first to 31 at some time, and then 30, then 29, then 27, then 25.8 and so on till it got to 0.
one of those values between 69 and 0, will match a value between 25.8 and 31.
what does all that mean in this context?
it means that at some point the baseball was at a height predicted g(t) as well as by h(t).
