Answer:
Point P = (-9,11)
Step-by-step explanation:
Point M: (1,3) X and Y have the 2 on the bottom right of them
Midpoint N: (-5,7)
Point P: (X*2, Y*2)
( 1 + X*2 3 + Y*2 )
( _______ ________ ) = (-5 , 7)
( 2 , 2 )
( 1 + X*2 )
( _____ ) = -5
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being
divided on the bottom. Also, multiply the -5 by 2 and you get -10
1 + X*2 = -10
+1 +1
__________
X*2 = -9
X = -9
( 3 + Y*2 )
( ______ ) = 7
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14
3 + Y*2 = 14
-3 -3
_________
Y*2 = 11
Y = 11
Hope this helps, good luck! :)
(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.
In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).
The total number of chips of different colors in Amy's bag is:
8 blue chips + 9 pink chips + 1 white chip = 18 color chips
Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.
So, the probability that Amy takes out a pink chip in the first draw is:
P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:
P(B) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.
What is the probability that Amy takes out a pink chip in both draws?
P(A∩B) = P(A)P(B)
P(A∩B) = (9/18)(9/18) = 81/324
Answer:
32
Step-by-step explanation:
mid segment is 1/2 of length of AC
So basically, let's look at the given. In the problem, Leon is charged a fee of 75. The interest rate would be 12.5 % if he doesn't pay his due amount. So in order to get the total amount that he has to pay if he doesn't pay on time, you just need to multiply 75 with 12.5% or simply 0.125. If you do this, you will get 9.375. After that, you add 9.375 to the principal amount which is 75 and you will get 84.375. So Leon has to now pay a total of 84.375.
I hope this HELP! :)
