The progress with have improved by the time he recorded the progress
Step-by-step explanation:
I'm not entirely sure what you mean by "from the origin", but hopefully this helps.
The distance formula for a Cartesian coordinate system (your standard x-y graph) is
.
If you're measuring "from the origin", that just means one of your points is (0,0).
For example, if you were to measure between the origin and the point (1,4) your formula would look like this:
![d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B0-1%29%5E%7B2%7D%2B%280-4%29%5E%7B2%7D%7D%5C%5Cd%3D%5Csqrt%7B%28-1%29%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D%20%5C%5Cd%3D%5Csqrt%7B1%2B16%7D%20%20%5C%5Cd%3D%5Csqrt%7B17%7D)
So, the distance between the origin and (1,4) is
.
I hope this helps! Please let me know if you have any other questions!
Answer:
26 cm^3
Step-by-step explanation:
volume of cylinder = (pi)r^2h
volume of cone = (1/3)(pi)r^2h
Since (pi)r^2h = volume of cylinder, then you get
volume of cone = (1/3)(volume of cylinder) = (volume of cylinder)/3
The difference between the volume of a cylinder and the volume of a cone is that a cone with the same radius and height has 1/3 the volume of the cylinder.
If you know the volume of a cylinder, then the volume of a cone with the same radius and height is 1/3 the volume of the cylinder, or simply, divide the volume of the cylinder by 3.
volume of cylinder = 78 cm^3
volume of cone = (78 cm^3)/3 = 26 cm^3
Answer:
Center: (3,5)
Radius: 2
Step-by-step explanation:
x² + y² - 6x - 10y + 30 = 0
Put equation into center-radius form. First regroup terms:
(x²-6x) + (y²-10y) = -30
Complete the squares:
(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²
(x-3)² + (y-5)² = 4 = 2²
Center: (3,5)
Radius: 2
You just need to multiply 35 by 2/7
35 x 2/7 = 10 so there are 10 blue socks