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2 answers:
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Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by , where
is the height in feet and
, the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
Then, we simplify the expression by algebraic means:
Roots of the polynomial are, respectively:
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.