21.
1 answer:
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Answer D). 9 ft is correct
Height of the ball at a horizontal distance of 10 feet is 9 ft
Step-by-step explanation:
A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).
Y(x) =
Question asked is " What will be height (Y) of the ball when X=10 ft "
Simply putting value of X in given equation
we get,
Y(x) =
Y(x) =
Y(x) =
Y(x) =
Y(x) =
<em>Therefore,</em> Height of the ball at a horizontal distance of 10 feet is 9 ft
Answer D. 9 ft is correct
The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.
Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.
Let us consider the two positive real numbers as x and y. Then, their sum is written as,
x+y=108
Then, y=108-x
And the product is written as,
P=xy²
Substitute value of y in the above equation, we get,
Now, differentiate P with respect to x, and we get,
Solving the above equation to zero, we get,
Substitute values of x in y=108-x, to get values of y.
If we substitute x=108, we get the y value as zero which doesn't give the required solution.
But, if we substitute x=36, we get,
Thus, the two positive numbers are 36 and 72.
To know more about positive numbers:
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