Answer:
A. x²/y³
Step-by-step explanation:
Given the following data;
Length = x³y⁴
Width =
Ratio = length/width
Simplifying the equation by applying the law of indices (division), we have;
Hence, rearranging the above values;
<em>Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³. </em>
The rock will hit the ground at 2 seconds.
Explanation:
Given that the height, h, in feet of a rock above the ground is given by the equation , where t is the time in seconds after the rock is thrown.
We need to determine the time at which the rock will hit the ground.
To determine the time, let us equate the height h = 0 in the equation , we get,
Switch sides, we have,
Let us solve the equation using the quadratic formula.
Thus, we have,
Simplifying, we get,
Hence, the two values of t are
and
Simplifying the values, we get,
and
Dividing, we get,
and
Since, t cannot negative values, we have,
Thus, the rock will hit the ground at 2 seconds.