Answer:
Step-by-step explanation:
The equation of any line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Two points are given: (-6,4) and (-2,2). Calculating the slope:
The equation of the line is, so far:
To calculate the value of b, we use any of the given points, for example (-6,4):
Solving:
b = 1
The equation of the line is:
We can see none of the choices is correct.
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.
Volume of cylinder: πr²h
π2.5²(20) = 392.7 cm³
Volume of sphere: 4/3πr³
4/3π2.5³ = 65.45 cm³
392.7 - 65.45 = 327.25
The amount of space in the container unoccupied by the rubber balls is 327 cm³.
9514 1404 393
Answer:
D. in quadrant III
Step-by-step explanation:
The signs of the coordinates tell you the point is located left of, and below, the origin (where the axes cross). That puts it in Quadrant III.
Answer:
1
Step-by-step explanation:
Please mark as brainliest!
Answer:
Option A - 
Step-by-step explanation:
Given: The volume of a cylinder = 
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is 
(1)
The formula for volume of a cylinder is 
(2)
Substituting 
in equation (2), we get,
Given that the cone has the same radius and height of that of the cylinder, let us substitute 
in equation (1)
Thus, the volume of a cone with the same radius and height of a cylinder is .
