Answer:
B. y = 1/3x
Step-by-step explanation:
The slope of the given line is -3, so the slope of the perpendicular line will be the negative reciprocal of that: -1/(-3) = 1/3. This eliminates choices A and C.
We can find the y-intercept (b) if we use the given point values in the equation ...
y = 1/3x +b
we get ...
-2 = (1/3)(-6) +b
-2 = -2 +b . . . simplify
0 = b . . . . . . . add 2
So, the equation of the perpendicular line through the given point is ...
y = 1/3x . . . . matches choice B
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<em>Alternate solution method</em>
You can try the given point in the given equations. You will find that only the equation of choice B will work.
Answer:
Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

Answer:
I do believe the answer is C
Step-by-step explanation:
.004 / .0004 =
Answer:
there are only 4 whole numbers whose squares and cubes have the same number of digits.
Explanations:
let 0, 1, 2 and 4∈W (where W is a whole number), then
,
,
,
,
,
,
,
.
You can see from the above that only four whole numbers are there whose squares and cubes have the same number of digits
Answer:
148°
Step-by-step explanation:
x = 180 - 32 = 148°
(Supplementary angles)