If a point a an endpoint of a AC has coordinates (8,4) and point B, the midpoint of AC has coordinates (-2,7) what is the X value of the coordinates of point C

Answers

Answer 1

Answer:

Answer:

The x-value of the coordinates of point C is -12.

Step-by-step explanation:

Let be $A = (8, 4)$ and $B = (-2, 7)$ , which is midpoint of segment AC. The location of point C is obtained from the midpoint formula, that is:

$B = (1)/(2)\cdot A + (1)/(2)\cdot C$

$2\cdot B = A + C$

$C = 2\cdot B - A$

$C = 2\cdot (-2,7)-(8,4)$

$C = (-4,14)-(8,4)$

$C = (-4-8,14-4)$

$C = (-12,10)$

The x value is the first component of the ordered pair, that is: $x = -12$ . The x-value of the coordinates of point C is -12.

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Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute. Which of the following piecewise functions represents charges based on Andrew's cell phone plan?

Answers

Answer:

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Step-by-step explanation:

Andrew has a cell phone plan that provides 300 free minutes each month for a flat rate of $19. For any minutes over 300, Andrew is charged $0.39 per minute.

Let x be the number of minutes Andrew uses per month and f(x) be the charges based on Andrew's cell phone plan.

If $x\le 300,$ then $f(x)=19.$

If $x>300,$ then first 300 minutes are free and each minute of next (x-300) minutes costs $0.39, therefore

$f(x)=19+0.39(x-300).$

Hence,

$f(x)=\left\{\begin{array}{l}19,\ \ x\le 300\n \n19+0.39(x-300),\ \ x>300\end{array}\right.$

Answer:

19, x≤ 300

19+.39(x-300), x>300

Step-by-step explanation:

I just did this quiz

Rachel plays a game by rolling two number cubes with side's numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Rachel will win the game

Answers

Answer:

The probability that Rachel will win the game p(E) = 1/18 =0.055

Step-by-step explanation:

Explanation:-

Let "E" be the event of getting sum 11 on the two cubes with sides numbered through 1 to 6 so the number of favorable cases to E = { (6,5), (5,6)}

n(E) =2

The total number of exhaustive cases n(s) = 6^2 =36

Probability P(E) = $(number of favorable cases)/(total number of exhaustive cases.)$

The probability that Rachel will win the game

$P(E) = (2)/(36) = (1)/(18) =0.055$

The probability that Rachel will loose the game

$P(E)^(-) = 1-P(E)$

= 1 - 0.055 = 0.945

Answer:

1/18

Step-by-step explanation:

If two events are mutually exclusive, can they occur concurrently? explain.

Answers

Answer:

Step-by-step explanation:

By definition,

mutually exclusive events cannot occur together.

The simplest example of mutually exclusive events is a coin toss. A tossed coin outcome can be either head or tails, but both outcomes cannot occur simultaneously.

Solve each equation 10.4-6.8=x