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cedricevans41p4j3kx
11.03.2021 •
Mathematics
27. write the equation of each line graphed at the right
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Ответ:
10.77 m/min ; 11.77 m/min
Step-by-step explanation:
Given :
Distance between the beds = 560m
Let :
Speed of butterfly 1 = x
Speed of butterfly 2 = x + 10
Time taken by butterfly one = t
Time taken by butterfly 2 = t - 1
Recall:
Speed = distance / time
Butterfly 1 :
x = 560 / t
xt = 560
t = 560/x
Butterfly 2:
x + 10 = 560 / t - 1
(x + 10)(t - 1) = 560
xt - x + 10t - 10 = 560
560 - x + 10(560/x) - 10 = 560
560 - x + 5600/x - 10 = 560
-x² - 560x + 6150 = 0
Using quadratic equation solver ;
x = - 570.77
x = 10.77
Speed can't be negative
Speed
butterfly 1= 10.77 m/min
Butterfly 2 = 10.77 +1 = 11.77 m /min