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
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Answer:
in what do u need help?
Step-by-step explanation:
Answer:
height = 13.75 feet
Step-by-step explanation:
use the Pythagorean theorem
hypotenuse^2 =base^2 + height^2
15^2 = 6^2+height^2
225 = 36 + height^2
189 = height^2
height = 13.75 feet
