0 = 4x²<span> + 2x – 1
this equation is already ordered by degree, so it's in the correct form. the standard form of a parabola is like so: 0 = A</span>x² + Bx - C
that's exactly how you plug values into the quadratic formula. the coefficient for your squared value, A, is 4. take the coefficients from your other numbers as well.
a = 4
b = 2
c = -1
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.
X and y =4? is there more information about the question?
20%=
200/100 x RM6000
=RM1200
Last year amount= RM6000- RM1200
=RM4800
Total savings in two years=
RM6000 + RM4800
=RM10800
