Answer:
y = x - 6
Step-by-step explanation:
The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1. Thus,
y = mx + b becomes 2 = 1(8) + b, so that b = -6.
The desired equation is y = x - 6.
Check: Does (8,2) lie on this line? Is 2 = 8 - 6 true? YES.
Answer:

Step-by-step explanation:
(triangle)
(semicircle)
Add both together

Answer:
14:6
21:9
28:12
Step-by-step explanation:
Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:
7 x 2 = 14
3 x 2 = 6
14:6
7 x 3 = 21
3 x 3 = 9
21:9
7 x 4 = 28
3 x 4 = 12
28:12
Answer:
D
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is
