Michael took the return trip at a velocity 33.75 miles per hour.
<h3>How fast did Michael drive in his return trip?</h3>
Let suppose that Michael drove in <em>straight line</em> road and at <em>constant</em> velocity. Therefore, the speed of the vehicle (v), in miles per hour, can be defined as distance traveled by the vehicle (d), in miles, divided by travel time (t), in hours.
First trip
45 = s / 3 (1)
Second trip
v = s / 4 (2)
By (1) and (2):
45 · 3 = 4 · v
v = 33.75 mi / h
Michael took the return trip at a velocity 33.75 miles per hour.
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Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, translation, rotation and dilation.</em>
Rigid transformation preserves the shape and size of the figure. <em>Reflection, translation, rotation</em> are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
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Answer:
6 / 10=x / 15
x=15/10 x6
x=9
Step-by-step explanation:
Step-by-step explanation:
the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).
the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).
so, the slopes are different
AB : 15/3 = 5
CD : 9/3 = 3
and the lines are therefore not parallel.
perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).
so, the 2 lines are "neither".
