Answer:
4x +3y = 10
Step-by-step explanation:
The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.
The equation for the perpendicular line through point C(4, -2) can be written as ...
Δx(x -4) +Δy(y -(-2)) = 0
4(x -4) +3(y +2) = 0
4x +3y -10 = 0 . . . . . . general form equation for the line
4x +3y = 10 . . . . . . . . .standard form equation for the line
If the vertex is at the maximum point they dy/dx=0 at that point...
dA/dx=-2x+4
dB/dx=-2x+8
dC/dx=2x-4
dD/dx=2x-8
So both B and D have a zero velocity at x=4, but only B is equal to 3 when x=4
B. is the correct quadratic with the vertex at (4,3)
Area=basexheight
Area=9x4
Area=36
3 pen + 2 pencil = .47
2 pen + 3 pencil = .38
2(3pen + 2 pencil = .47)
-3(2pen + 3 pencil = .38)
6 pen + 4 pencil = .94
-6 pen - 9 pencil = -1.14
- 5 pencil = -.2
pencil = .04
3pen + 2(.04) = .47
3pen + .08 = .47
3 pen + .08 - .08 = .47 -.08
3 pen = .39
pen = .13
Pen = 13 cents and pencil = 4 cents