Basing the Results on Probability
2 answers:
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Answer:
21) falls
22) vertical
23) rises
24) rises
25) falls
26) horizontal
27) rises
28) horizontal
29) falls
Step-by-step explanation:
We shall use the slope formula to calculate the slopes of the line passing through each pair of point.
21: (3,1), (2,6)
The slope is
.
A negative slope means this line falls
22) (-2,5), (-2,4)
The slope is = undefined
An undefined slope means this line is vertical
23) The given point is (0,8) (2,10)
The slope is
A positive slope means this line rises
24) The points are (-3,-3), (3,1)
The slope is
A positive slope means this line rises
25) The points are: (5,0) (6,-2)
Slope:
A negative slope means this line falls
26) The points are (-2,-8) , (5,-8).
Slope:
A zero slope means this line is horizontal
27) The points are: (-1,2) , (5,3)
Slope:
A positive slope means this line rises
28) The points are: , (-1,4)
Slope:
A zero slope means the line is horizontal
29) The points are:
Slope:
A negative slope means this line falls.
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
these options correspond to a and b from the original question.