Answer:
-1/3
Step-by-step explanation:
To find the slope we use
m= (y2-y1)/(x2-x1)
= (7 - -3)/(-10 -20)
= (7+3)/ -30
= 10/-30
= -1/3
Answer:
The volume of a sphere of radius r is:
S = (4/3)*pi*r^3
The volume of a cylinder of radius r and height h is:
C = pi*r^2*h
For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.
First, let's use the radius: r = 2.
The volume of the sphere will be:
S = (4/3)*3.14*(2)^3 = 33.49
The volume of the cylinder, where h = 2*2 = 4, is:
C = 3.14*(2^2)*4 = 50.24
Now, let's choose the radius r = 3.
The volume of the sphere will be:
S = (4/3)*3.14*3^3 = 113.04
The volume of a cylinder with this radius and h = 3*2 = 6, is:
C = 3.14*(3^2)*6 = 169.56
If A is 1/3 of B then A = 1/4 the sum of A and B. 1/4 times 48 = 12
Coin A = $12
Coin B = $48 - $12 = $36
Answer: x= -2, y= 3
Step-by-step explanation:
3x+5y=9
X-y=-5
Multiply bottom equation by 5
3x+5y=9
5x-5y=-25
3x + 5x=8x
5y-5y cancels out
9-25= -16
8x= -16
X= -2
Plug -2 back into equation of choice to find y
3(-2)+5y=9
-6+5y=9
Add -6 to both sides
-6+6 cancels
9+6=15
5y=15
Y=3
