Answer:
Step-by-step explanation:
Graph of x=5 is vertical straight line parallel to y-axis and perpendicular to x-axis. The points on graph have the x-coordinate as 5 and y-coordinate varies.
Similarly, line parallel to x=5 or y-axis passing through point (-6,6), in that all the points have same x-coordinate as -6. So the equation of line will be x=-6
For simplicity of visualization graph of both the equation x=5 and x=-6 are attached.
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
I believe the problem asks for the slope. This problem can be done by putting <span>y=x^2e^5x into slope intercept form. However, the issue is that there is the variable "e", which does not match the slope intercept formula, y=mx+b. Long explanation short, the slope is </span>
This can be solved by finding their point of intersection on the graph, which is at point (1,3).
Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
