Number 9 is no because if you were to divide that it be a decimal and a decimal is an irrational number.
Number 10 is yes. When divide 2 by 5 you get 0.4 which is a terminating number because it never ends
Okay so I don't know what you're trying to find out here, but if you're trying to find out how many words he has left after writing those two months, all you have to do is add. 35, 295 + 19, 240 and should get 54, 535. Then you subtract 95,234 - 54,535 and get 40,699.. So Zachary has 40,699 words left to write
[<em>We assume that each piece of apple is identical</em>]
{{{{This part for little more explanation:
There are 12C6 ways that 6 fruits can be taken from the bag
which is equal to
=12!/{(12-6)!*6!}
=(12*11*10*9*8*7*6!) / (6!*6!)
=665280 / (6*5*4*3*2*1)
=924 ways
}}}}}
Your main solution here:
Similarly there are 6C5 ways to get exactly 5 apples out of 6 fruits which is equal to,
=6! / {(6-5)! *5! }
=(6*5!) / (1!*5!)
=6 ways>>>>>>>ANSWER
NOTE: nCx=n! / [(n-x)! *x!] where n=total items and x= no of items choosen
{n is written up in the upper left of C and x is written as Subscript}
Answer:
D is the right answer right
Step-by-step explanation:
D
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
