By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
10.8. Multiply 6 by 9/5. Put the fractions into decimals and they both turn out to be 1.8.
_ means equal to
2(3x-1)>_ 4x-6
6x-2>_4x-6
6x - 4x >_-6+2
2x>_ -4
=> x >_ -4/2
=> x >_ -2
This means x is greater or equal to -2 .
X - [-2, infinity)
Answer:
80 distributions of the three scholarship are possible.
Step-by-step explanation:
Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:
4 x 5 x 4 = X
20 x 4 = X
80 = X
Therefore, 80 distributions of the three scholarship are possible.
The perpendicular slope would be the opposite of -8, so the perpendicular slope would be 1/8. For you to get this answer you have to change the sign from a negative to a positive, and flip the number to get 1/8.
