Some fractions equivalent to 8/3 are 16/6, 24/9, and 32/12.
In general, nCr = n! / r! (n-r)!
Here, 7C3 = 7! / 3!(7-3)!
=7 x 6 x 5 x 4 x 3 x 2 x 1 /3 x 2 x 1 ( 4 x 3 x 2 x 1)
=7x6x5x4 / 4x3x2
=7x5x6x4 / 24
=35x24 / 24
=35
Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y =
x + 3 ← in slope- intercept form
with slope m = 
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = -
x +
, that is
y = -
x +
← in slope- intercept form
with slope m = - 
--------------------------------------
≠ -
, then lines are not parallel
× -
= - 1
Thus the lines are perpendicular to each other
10^1 = 10
10^2 = 100
10^3 = 1,000
10^4 = 10,000
10^5 = 100,000
V = 5