9514 1404 393
Answer:
KM = 4
Step-by-step explanation:
The point of the segment addition postulate is that the combined length of segments laid end-to-end is the sum of their individual lengths.*
KL +LM = KM
(5x +1) +(3x +3) = 5x +4
8x +4 = 5x +4 . . . .simplify
3x = 0 . . . . . . . . . . subtract 5x+4
x = 0 . . . . . . . . . . . divide by 3
Then the length of KM is ...
KM = 5x +4 = 5·0 +4 = 0 +4
KM = 4
_____
* Sometimes it seems that geometrical theorems simply state the obvious. Some interesting math arises from systems of geometry in which this is not true. We usually don't study those in high school.
Answer:
0.18 sec or 3.4 sec.
For second part, it will take 3.7 sec.
First part:
Set h(t) = 17and solve for t.
-16t²+ 58t + 7= 17
-16t² + 58t - 10 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Answer:
a) 256
b) 1/256
Step-by-step explanation:
_ _ _ _ _ _ _ _
every position has two possibilities (head or tail)
So,
2×2×2×2×2×2×2×2 = 2⁸ = 256
b) all tails is one of the 256 possible outcomes, so the probability is 1/256
20 to 10 I think but not sure hope this helps
