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iragen [17]
3 years ago
13

A cat chases a mouse. The cat is originally 4 feet behind the mouse, which is running in the same direction along the same route

as the cat. If the cat's speed is 17 feet per second and the mouse's speed is 12 feet per second, how long will it take the cat to catch up with the mouse? (how many seconds?)
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Step-by-step explanation:

The position of the mouse at time t is 4 + 12t.

The position of the cat at time t is 17t.

When the positions are equal:

4 + 12t = 17t

4 = 5t

t = 0.8

It takes 0.8 seconds.

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3 years ago
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2 years ago
Which value of b would make 16x²-bx + 25 a perfect square trinomial?
blondinia [14]

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

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The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given.  I hope this helps, xx .

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