Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3
Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
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Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
Answer: x= 1/54
Explained: easy mental math :p
Answer:
a) Not parallel to y-axis
b) Not parallel to y-axis
c) Parallel to y-axis
Step-by-step explanation:
The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.
The equation of line: 
a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.
It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and (
,12).
b) The line joining the points 
is not parallel to y-axis.
Equation of line: 
Another points that could be lie on this line are (0.6,2) and (0.25,1.475)
c) The line joining the points 
is parallel to y-axis because points have the same x-coordinate.
Another points that could be lie on this line are (0.8,2) and (0.8,2.1)
