An elevator goes up 7 floors and then down 4 floors. What integer represents the change in the floor level?
2 answers:
Answer:
3 floors.
Step-by-step explanation:
We have been given that an elevator goes up 7 floors.
We know that going up is a positive altitude, so 7 floors up will be positive 7.
Then the elevator comes down 4 floors. We know that coming down is a negative altitude, so coming down 4 floors would be floors.
The change in the floor would be floors.
Therefore, the change in the floor level is 3 floors.
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<h3>Answer: Rhombus</h3>
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Reason:
Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.
Segment AB is exactly units long, which is approximately 4.1231 units.
If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.
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Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.
Let's find the slope of AB.
Segment AB has a slope of 1/4.
Do the same for BC
Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.
We don't have perpendicular lines, so the interior angles are not 90 degrees each.
Therefore, this figure is not a rectangle and by extension it's not a square either.
The best description for this figure is a <u>rhombus</u>.