840=2 times 2 times 2 times 3 times 5 times 7
The y-coordinate is 16
<h3><u>Solution:</u></h3>
Given that a line with slope 3 passes through point (0, 10)
To find the y-coordinate of the point on the line with x-coordinate 2
Which means the point is (2, y)
Let us find the required y co-ordinate using slope formula
<em><u>The slope of line is given as:</u></em>
For a line containing points
and
is given as:


Given that slope "m" = 3
Substituting the values we get,

Thus the y-coordinate is 16

This is a geometric series with a common ratio between successive terms that is less than 1 in absolute value. This means the series will converge. The value of the sum is

.
A^2 - b^2 ...difference of squares
so
9m^4 - 49n^6 = (3n^2)^2 - (7n^3)^2
answer
C. 9m^4 - 49n^6
The volume of a cone with respect to its diameter is:
V=(hπd^2)/12 solving this for d we have:
d=√[(12V)/(hπ)], we are given that V=128π and h=5 so
d=√(1536π)/(5π)
d=√(1536/5)
d=√307.2 cm
d≈17.53 cm (to nearest hundredth)