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Assuming that there are 8 names that are going to be used for a random order;
First, let's try to figure out how many possible ways the names can be arrange:
=8 choices x 7 choice x 6 choices x 5 ... x 1 choice (if you select person A to go first, they cannot be second as well, so that is why 8 choices is multiplied by 7 instead of 8)
This can also be written as 8!
The specific way that a random set of names is chosen by you and actually chosen is 1. Each name has a specific order, in each term so there can only be one possible way.
Therefore, P(order being chosen)=1/8!
Hope I helped :)
Answer:
Step-by-step explanation:
Long way:
Find the midpoint (M) of AB, find the slope(m) of the line AB, then find the equation of the line through M with slope -1/m, which is the perpendicular bisector of AB.
Short way:
The perpendicular bisector of (x₁,y₁) and (x₂,y₂): 2(x₂-x₁)x + 2(y₂-y₁)y = x₂²-x₁²+y₂²-y₁².
Here this is 2(1-(-4))x + 2(6-4)y = 1²-(-4)²+6²-4² which is 10x + 4y = 5.
A; as i’m assuming the question is which one is a function
Answer:
1) Given
2) Definition of Midpoint
4) Substitution PoE
5) 4x=16
6) Divison PoE
Step-by-step explanation:
1) is given because it is given.
2) Should be definition of midpoint because a midpoint bisects a line, meaning both sides are congruent.
4) is substitution because, like aforementioned, AC=6x and CD=2x+16, so substitute those numbers in the equation.
5) is 4x=16 because that's what happens when you subtract 6x-2x.
6) should be division PoE because to isolate x you need to divide by 4.
