Item 4 Participant A runs at a slower rate than Participant B. Both participants run at a constant rate.

This table represents Participant A.

Time (min) 5 8 12 15

Number of laps run 2.75 4.4 6.6 8.25

Which equation could represent Participant B?

Time in minutes is represented by x and the number of laps run is represented by y.

Select each correct answer.

y = 0.5x

y = 0.3x

y = 0.7x

y = 0.9x

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In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ab=4 and bc=3, find ah, ch and bh.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Luigi is the first person to finish a 5k race and is standing 13 feet beyond the finish line. another runner, mario, is still running the race and has approximately 24 feet before he reaches the finish line. what is the distance between mario and luigi? explain through words, numbers or pictures how you found the answer.