To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
So, if you put the outcomes of flipping four coins and getting heads every time, into the problem, you will need to use,
1/2 times 1/2 times 1/2 times 1/2.
This should equal your answer.
(1/16)=4
Hope this is helpful!
Answer:
angle 1 + angle 2 = 100
angle 1 = 40
angle 2 = 60
angle 3 = 120
Step-by-step explanation:
Answer:the number of marbles in the bag that are not blue is 44
Step-by-step explanation:
The probability of picking a blue marble out of a bag of 50 marbles is 3/25. This means that the number of blue marbles in the bag would be
3/25 × 50 = 150/25 = 6
Since the total number of marbles in the bag is 50, it means that the number of marbles in the bag that are not blue would be
50 - 6 = 44 marbles
Answer:
5.099
Step-by-step explanation: