PLEASE HELP ASAP
1 answer:
Answer:
1. π radians
2. Equal
3. Radius of the circle and the two arc lengths
4.
Step-by-step explanation:
The degree of Route A will be π radians.
If we were to connect the two points on Route B, then the two arc lengths will be equal.
We need to know the radius of the circular path and the arc lengths on both sides to calculate the total distance traveled in route B.
The total area of the circle is πr².{Where r is the radius of the circle}
So, if we assume that the circle is cut into 8 equal pieces, then the area of each part will be . (Answer)
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9514 1404 393
Answer:
y = -2x^2 +7x +4
Step-by-step explanation:
A graphing calculator or spreadsheet can tell you the quadratic regression formula that will fit these points:
y = -2x^2 +7x +4
__
If you'd like to do this "by hand", you can substitute the given points into the equation y = ax^2 +bx +c to get three linear equations in a, b, c.
4 = 0 +0 +c
10 = a(2^2) +b(2) +c
0 = a(4^2) +b(4) +c
Using the value of c from the first equation, these reduce to ...
6 = 4a +2b
-4 = 16a +4b
Dividing the second of these equations by 2, and subtracting the first, we have ...
(16a +4b)/2 -(4a +2b) = (-4)/2 -(6)
4a = -8
a = -2
From the first of the reduced equations, we find ...
b = (6 -4a)/2 = 3 -2a = 3 -2(-2) = 7
So, a=-2, b=7, c=4, and the equation is ...
y = -2x^2 +7x +4
