The midpoint of AB is M(3,-1).If the coordinates of A are (8,4) what are the coordinates of B

Mathematics

1 answer:

Alchen [17]4 years ago

6 0

Answer:

B(-2,-6)

Step-by-step explanation:

The midpoint of AB is M, then A(8,4), M(3,-1)

So we can find:

$x_{B} =2x_{M} -x_{A}= 2*3-8= -2\\y_{B}= 2y_{M} -y_{A} = 2*(-1)- 4= -6\\$

then B(-2,-6), hope that useful.

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A circular sector has a central angle of π6 radians and a radius of 9 ft.

ohaa [14]

Answer:

$\approx \: 21.2 \: {ft}^{2}$

Step-by-step explanation:

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3 years ago

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Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pul

Debora [2.8K]

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...