Graph the function f(x) = x + 2 / x − 3 using transformations of the graph of y = 1 / x.
1 answer:
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Answer:
(a) scalene, see attachment
(b) acute, see attachment
(c) correct; isosceles
Step-by-step explanation:
(a) The sides of the triangle all have different lengths, so the triangle is scalene. Differences in coordinates between the points of the triangle are (6, 2), (5, 2), and (4, 1), so no two distances between these points can be the same.
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(b) The angle opposite the longest side is clearly an acute angle, so the triangle is an acute triangle.
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(c) Miles and Brad live on the same north/south line. Jose lives at a distance that is halfway between those houses in the north-south direction. Hence the distance to Miles' and Brad's houses must be the same from Jose's house. That means the triangle connecting Miles', Brad's, and Jose's houses will be an isosceles triangle.
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration , we have the following equation of motion
where s (m) is the total distance, ta = 3 s is the time
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration , we have the following equation of motion:
tk = 4 s is the time
Since we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track
The time it takes for Kevin to cover the entire track
So Alison wins against Kevin by 6.93 - 6 = 0.93 s