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The first thing you do is draw a straight line. It can be any length. Then draw a point above the line. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line. Then, draw marks below the line, by placing the stylus on the points of intersection. Draw a line from where these two meet to the original point.Mark two points on the 2nd line by placing the compass stylus on the original dot, and swinging it down and up. Then, swing the compass from both of these new points of intersection , on either side of the line, to form 2 new points.Connect these 3 points, and now you have 2 parallel lines! The original line and the most recently made are parallel with each other. Hope this helps!
Answer:
Step-by-step explanation:
D=√((-5+2)²+(-4+1)²)=√(9+9)=3√2≈4.24
At 4 months the cost for each gym $250
Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
