quadrilateral abcd underwent a sequence of transformations to give quadrilateral a′b′c′d′. which transformations could have taken place?
a.
a reflection across the x-axis followed by a reflection across the y-axis
b.
a translation 10 units down followed by a translation 8 units to the right
c.
a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis
d.
a reflection across the line y = x followed by a reflection across the line y = -x

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

step-by-step explanation:

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c. 6tan80

step-by-step explanation: