<h3>Answer:</h3>
Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis
<h3>Explanation:</h3>
The problem statement tells you the transformation is ...
... (x, y) → (x, -y)
Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.
Along with translation and rotation, <em>reflection</em> is a transformation that <em>does not change any distance or angle measures</em>. (That is why these transformations are all called "rigid" transformations: the size and shape of the transformed object do not change.)
An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.
So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.
Answer:
h(4z)=4+12z / 5+4z
Step-by-step explanation:
The function h is defined by h(x)=4+3x over 5+x
This can be written as
h(x)=4+3x / 5+x
The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.
To find h(4z), it means that x is taking the value of 4z.
We will substitute 4z in the place of x in the function. This becomes
h(4z)=4+3×4z / 5+4z
h(4z)=4+12z / 5+4z
the slope would be -0.4 sorry I couldn't get the faction
