Answer:
Step-by-step explanation:
Left Frame
f(x) is a horizontal line from x = 1 to x = 3. So the y values are the same in that interval.
when y = 1, x = 3
so f(3) = 1
The answer is III
Question Second from the right
The trick is to get the denominator so it is not a complex number. You do that by multiplying by the conjugate which is 8 - 2i. If you do that to the denominator, you must do it to the numerator.
Denominator: (8 + 2i)(8 - 2i) = 64 - 16i + 16i - 4i^2
Denominator: 64 + 4
Denominator: 68
Numerator: (3 - 5i)(8 - 2i)
Numerator: 24 - 6i - 40i + 10*i^2
Numerator: 24 - 46i - 10
Numerator: 14 - 46i
So in some form or other the answer is
[tex]\dfrac{14 - 46i}{68} = \dfrac{7}{34} - \dfrac{23i}{34}[/tex]
Right Frame
Here, the slopes must be the same. So calculate the slope of the left line and make that equal to the slope of the right line's expression
Left Line
Left = (y2 - y1)/( x2 - x1) = (2 - 0)/(0 - - 5) = 2/5
Right line
Right = (y2 - y1) / (x2 - x1) = (0 - - 4) / (p - 0) = 4/p
Now Equate them (they are parallel and have the same slope)
2/5 = 4/p Cross multiply
2p = 5*4 Combine the right
2p = 20 Divide by 2
2p/2 = 20/2 Do the division
p = 10
