Which length could represent the side length of a right triangle?
1 answer:
Answer:
A
Step-by-step explanation:
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
I
longest side squared = ( )² = 74
5² + 7² = 25 + 49 = 74
Thus these sides represent a right triangle
II
longest side squared = ( )² = 106
7² + 8² = 49 + 64 = 113
These sides do not represent a right triangle
III
longest side squared = ( )² = 133
6² + 10² = 36 + 100 = 136
These sides do not represent a right triangle
The only valid sides are I → A
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Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:
Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:
Subtracting 10 from both sides:
For simplicity, divide both sides by -1:
We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:
Substitute:
Evaluate:
Simplify the square root:
Therefore:
Simplify:
Approximate:
Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.