Answer:
Option C is correct.
Step-by-step explanation:
y = x^2+4x+5
We need to find the vertex of the above equation.
The above equation represents the parabola.
The slope of parabola can be found by taking derivative of the given equation
dy/dx = 2x+4
The slope of the parabola at the vertex is zero SO,
2x+4 = 0
2x = -4
x = -4/2
x = -2
Putting value of x =-2 to find the value of y
y = x^2+4x+5
y =(-2)^2+4(-2)+5
y = 4-8+5
y =9-8
y = 1
So, the vertex is (-2,1)
Option C is correct.
Remember, to the find the volume, you have to do length*width*height.
So it would be 7/4 * 3/2 * 1/2
To answer this, multiply all the numerators together, and multiply all the denominator together.
This would be:
21/16
So the answer is 21/16 cm^3 or 1.3125 cm^3.
Hope this helps. If you have any questions, place it in the comment section below.
I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).
To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96
Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%
It would be 20 because the highest number is 25
