Identify the angles relationship
1 answer:
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Using complex numbers concepts, it is found that the statement is false.
When a complex number is a root of a polynomial function, it's conjugate also has to be.
- A complex number has the format
, and it's conjugate is
.
In this problem:
- Real root -3.
- Complex-conjugate roots 1 + i and 1 - i.
- Complex root -3 + 7i.
The conjugate of -3 + 7i also has to be a root, which would make the polynomial of the 5th degree, as it would have 5 roots, thus, the statement is false.
A similar problem is given at brainly.com/question/24450834
Answer:
(11, -13)
Step-by-step explanation:
A is at (3, -5) and B is at (13, -15)
A point that is ⅘ of the way from A to B also divides the differences of the x-and y-coordinates in the same ratio.
For the x-coordinate,
x₂ - x₁ = 13 - 3 = 10
⅘ × 10 = 8
3 + 8 = 11
The x-coordinate of the point is x = 11.
For the y-coordinate,
y₂ - y₁ = -15 - (-5) = -15 + 5 = -10
⅘ × (-10) = -8
-5 + (-8) = -13
The y-coordinate of the point is at y = -13.
The coordinates of the point are then (11, -13).
The diagram below shows the point ⅘ of the way from A to B.
