For this case we have the following equation:
Deriving we have:
We match zero:
We clear the value of x:
Then, we substitute the value of x in the equation of the parabola:
Thus, the vertex of the parabola is the ordered pair:
Answer:
The vertice is:
1. 2r-5
2. -21r-50
3. 4r-50
4. 14r+50
5. 19r-50
Answer:
or 1.414213
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
d = distance
= coordinates of the first point
= coordinates of the second point
First Question
circumference = pi * diameter
diameter = circumference/pi = 94.2 in./3.14 = 30 in.
The wheels have a 30-inch diameter.
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Second question
The area of a circle: area = pi * r^2
radius = diameter/2 = 94.2 in./2 = 47.1 in.
area = pi * r^2 = 3.14 * 47.1 in. * 47.1 in. = 6966 in.^2
Answer: 6966 in.^2
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Third question
The piece of felt has a width equal to the diameter of the wheel. The length has to be the same as 4 diameters.
4 * 94.2 in. = 376.8 in.
Answer: 376.8 in.
Answer:
xy
Step-by-step explanation:
x + y = xy because of the addition sign
