Question

Plsss help asnwer a and b plsss asap!!!!!!Croakie is certainly a remarkable frog. Now he has developed even more amazing tricks! This time, he starts at point A, slides 2 feet to the right, and then completes two flips in a row, landing at point B. From point B, he turns around and goes back by doing one flip and sliding 8 feet to the left, ending up back at point A.

a. How far does Croakie move during each flip, assuming each flip is exactly the same length?

b. What is the distance between points A and B?​

Answer 1

• 6 ft per flip
• 14 ft from A to B

Explanation:

a.

If we assume that the first two flips are to the right, for some flip distance f, Croakie will land at ...

B = A + 2 +2f

He will land back at A (the origin) after 1 flip and a slide of 8 ft to the left:

B -f -8 = A

Subtracting A from both equations and substituting for B-A, we have ...

B -A = 2 +2f

B -A -f -8 = 0

(2 +2f) -f -8 = 0 . . . . substitute for (B-A)

f -6 = 0 . . . . simplify

f = 6 . . . . . add 6

The length of a flip is 6 feet.

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b.

B -A = 2 +2f = 2 +2(6) = 14

The distance between A and B is 14 feet.