Answer:
First point - (0,-2)
second - (2,-1)
Third - ( 4, 0)
Step-by-step explanation:
The given lengths cannot form a triangle. They do not meet the requirements of the triangle inequality.
17 + 25 < 43
The triangle inequality requires each side be shorter than the sum of the other two.
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
Answer:
8953.5 seconds
Step-by-step explanation:
Since the challenger descends at a rate of 4 feet per second, divide 35,814 by 4 to get the answer
7. tails, odd, 4
P(tails) = 1/2
P(odd) = 3/6 = 1/2
P(4) = 1/6
P(tails then odd then 4) = (1/2)×(1/2)×(1/6) = 1/24 ≈ 0.041666
Answer: 1/24, 4.2%
8. tails, 6 or 1, 3
P(6 or 1) = 2/6 = 1/3
P(3) = 1/6
P( tails, 6 or 1, 3) = (1/2)(1/3)(1/6) = 1/36 ≈ 0.027777
Answer: 1/36, 2.8%
9. heads, not 2, even
P(heads) = 1/2
P(not 2) = 5/6
P(even) = 1/2
P(heads, not 2, even) = (1/2)(5/6)(1/2) = 5/24 ≈ 0.208333
Answer: 5/24, 20.8%
