Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively
The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number
Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;
Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)
Where in a complex number, we have;
x = The real part
y = The imaginary part
The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>
Therefore;
Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂
Learn more about complex numbers here;
brainly.com/question/20365080
Answer:
Step-by-step explanation:
f(x) = x⁵ – 8x⁴ + 16x³
As x approaches +∞, the highest term, x⁵, approaches +∞.
As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).
Now let's factor:
f(x) = x³ (x² – 8x + 16)
f(x) = x³ (x – 4)²
f(x) has roots at x=0 and x=4. x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.
The graph crosses the x-axis at x=0.
Answer:
21 ft 18 A 12 ft 38 ft.
Step-by-step explanation:
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Number 5 is you have to plot
By the additive property of equality, the equations John wrote are equivalent.
<h3>Additive property of equality: Determining equivalent equations</h3>
From the question, we are to determine if the equations John wrote are equivalent.
From the given information,
John wrote that
5 + 5 = 10
Then,
He added n to both sides of the equation to get
5 + 5 + n = 10 + n
From the Additive property of equality, we have that
"<em>If we add or subtract the same number to both sides of an equation, the sides remain equal</em>."
Since, John added the same number, n, to both sides of the equation, the equations John wrote are equivalent.
Learn more on Determining equivalent equations here: brainly.com/question/21765596
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