Since it is the midpoint we can say:
12x - 1 = 8x +11
All we have do to is get all the x's alone on one side
12x - 1 = 8x + 11
12x = 8x + 12 (add both sides by 1)
4x = 12 (subtract both sides by 8x)
x = 3 (divide both sides to get what x is)
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
Answer:
System 1 : {3,0}; System 2 : {6,-2}
Step-by-step explanation:
2x + 3y = 6
-2x - y = -6
2y = 0
y = 0
-2x = -6
x = 3
system 2
2x + 3y = 6
2x + 2y = 8
y = -2
2x -4 = 8
2x = 12
x = 6
Answer:15
Step-by-step explanation:
Answer:
The slope is 1/3
Step-by-step explanation:
Take 2 points on the line, lets use (0,50) and (30,60)
x1 y1 x2 y2
Use slope formula:
y2 - y1 / x2 - x1
60 - 50 / 30 - 0
10 / 30
which can be simplified to:
1/3