Kevin drew a picture of a house and then built a model. The x-axis shows the size of different segments in the drawing, and the y-axis shows the size of the same segments in the model.
Write an equation showing the relationship between x and y.
A) y = 2x
B) y = x + 2
C) y = x + 3
D) y = 1/2x

(A) y = 2x

Step-by-step explanation:

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answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

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- "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."