Answer:
Step-by-step explanation:
1) y = 3x + 1
When x = -1 , y = 3*(-1) + 1
= -3 + 1
y = -2
(-1 , -2)
When x = 0 , y = 3*0 + 1
y = 1
(0 , 1)
When x = +1 , y = 3*1 + 1
= 3 + 1
y = 4
(1 , 4 )
Plot these points in the graph and join the points.
2) y = 2x -1
When x = -1 , y = 2*(-1) - 1
= - 2 - 1
y = -3
(-1 , -3)
When x = 0, y = 2*0 - 1
y = -1
(0 , -1)
When x = +1 , y = 2*1 -1
= 2 - 1
y = 1
(1 , 1)
Answer:
x = -1.5 y = 8.25
Step-by-step explanation:
5x + 2y - 5x - 10y = -66
8y = 66
y = 8.25
5x + 2(8.25) = 9
x = -1.5
Answer: y=-3x+5
Step-by-step explanation:
6x+2y=10
Solve for y
2y=-6x+10
y=-3x+5
The volume of a sphere is (4/3) (pi) (radius cubed).
The volume of one sphere divided by the volume of another one is
(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³
Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.
I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.
Earth radius = 6,371 km
Pluto radius = 1,161 km
Ratio of their radii = (6,371 km) / (1,161 km)
Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>
Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
Is there supposed to be a picture I’m sorry I don’t see it
