If you're working with complex numbers, then I'm sure you're comfortable with plotting them on a complex-plane ... real part of the number along the x-axis, and imaginary part of the number along the y-axis.
When you look at it that way, your two points are simply two points on the x-y plane:
4 - i ===> (4, -1)
-2 + 3i ===> (-2, 3) .
The distance between them is
D = √ (difference in 'x')² + (difference in 'y')²
= √ (6)² + (4)²
= √ (36 + 16)
= √ (52)
= 7.211 (rounded)
Answer:
A. 2x + y < 7
Step-by-step explanation:
the slope is negative and the y-intercept is positive
Answer:
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Step-by-step explanation:
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Remark
I don't know exactly what level you are in, but the obvious factors are
y = 2x*(x^3 + 11x + 30)
This gives one more factor somewhere around x = -11.3 . Notice that the minimum is around - 3000 or so. I don't think anyone is going to try and take this any further. My calculator figures out cubics and gives an answer of -11.23. There are two other roots but they are a complex pair.
Answer
factor 1: 2x
factor 2: x^3 + 11x^2 + 30
sqrt(200) ≈ 14.14213562373095
14 = 14
14/3 ≈ 4.666666666666667
From least-to-greatest:
14/3, 14, sqrt(200)
