Answer:
see the explanation
Step-by-step explanation:
we have the quadratic equation

This is a vertical parabola open downward
The vertex is a maximum
Find the x-intercepts of the quadratic equation
The x-intercepts are the values of x when the value of y is equal to zero
so
For y=0

Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to

in this problem we have
so

substitute in the formula





therefore
This parabola has two x-intercepts representing the times when the dolphin's height above water is zero feet
Answer:
a=69
Step-by-step explanation:
121-52 is equal to 69
The perimeter of the given rectangle will be ( 12x + 10 ).
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the given shape. For a triangle, the perimeter will be the sum of all the sides of the rectangle.
It is given that the two sides of the rectangle are (2x + 2) and (4x + 3). Then the perimeter of the rectangle will be calculated as below:-
Perimeter = Sum of all the sides of the rectangle
Perimeter = 2 ( 2x + 2 + 4x + 3 )
Perimeter = 4x + 4 + 8x + 6
Perimeter = 12x + 10
Therefore, the perimeter of the given rectangle will be ( 12x + 10 ).
To know more about the perimeter follow
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Expanding the left side gives

which gives two solutions,

and

. But if

, then

, but this number isn't real, so

is an extraneous solution. Meanwhile if

, you get

, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Answer:
13 km/hr
Step-by-step explanation:
Speed = (distance covered) / (time to cover the distance)
( 8.45 km) / (0.65 hr)
(8.45 / 0.65) km/hr