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arlik [135]
2 years ago
15

Rui is a professional deep water free diver.

Mathematics
2 answers:
mezya [45]2 years ago
8 0

Answer:

10 took khan

Step-by-step explanation:

Arada [10]2 years ago
5 0

Answer:

Rui will reach his lowest altitude after diving for 10 seconds

Step-by-step explanation:

In the quadratic equation y = ax² + bx + c, the coordinates of the lowest or the highest point is (h, k), where

  • h = \frac{-b}{2a} and k = y at x = h

In the given question

∵ d(x) = \frac{1}{2} x² - 10 x

∵ d represents his altitude in meters after x seconds

→ Compare it with the form above to find a and b

∴ a =  \frac{1}{2} and b = -10

∵ h = \frac{-b}{2a}

→ Substitute the values of a and b in the rule to find h

∴ h = \frac{--10}{2.\frac{1}{2}} = 10

∴ h = 10

∵ h is the x-coordinate of the lowest point

∴ The time of the lowest altitude is 10 seconds

∴ Rui will reach his lowest altitude after diving for 10 seconds

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