Answer:
a) the point is on the line
b) the lines are the same line
Step-by-step explanation:
a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.
b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.
The expected value per game is -0.26. Over 1000 games, you can expect to lose $263.16.
To find the expected value, we multiply the probability of winning by the amount of winnings, the probability of losing by the amount of loss, and adding those together.
We have a 1/38 chance of winning; 1/38(175) = $4.61. We also have a 37/38 chance of losing; 37/38(5) = $4.87.
$4.61-$4.87 = -$0.26 (rounded)
To five decimal places, our answer is -0.26136; multiplied by 1000 games, this is $261.36 lost.
It will go in it 9 times cause 9*20=180
Answer:
A. 3x + (x+8) = -22 - 2x
Step-by-step explanation:
Let the number equal x.
Set up the first half of the equation.
The sum of three times the number and 8 more than the number can be written as:
3x + (x+8)
Sum means that you add the components.
Set up the second half of the equation.
The difference between -22 and twice the number can be written as:
-22 - 2x
Difference means subtraction, and because -22 is written first, that is the number that you subtract <em>from</em>.
If you set the halves of the equation equal, you get:
3x + (x+8) = -22 - 2x
Therefore, the answer is A.
The answer is 7i because if you add 4+3i together as an absolute value, it equals to 7 plus the i is 7i
