<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:
737 miles
Step-by-step explanation:
So we know that he drove 871 miles in 13 hours so first you want to do 871 divided by 13 and get 67 which means he drove 67 miles in one hour. Finally you just have to multiply 67 by 11 and get 737.
28-53= l -25l
Answer is 25
4x-6= 22
Move -6 to the other side.
Sign changes from -6 to +6.
4x-6+6= 22+6
4x= 22+6
4x= 28
Divide by 4 for both sides
4x/4= 28/4
x= 7
Answer : x= 7
Answer:
C. x² + 7
Step-by-step explanation:
If f(x) = 2x² + 5 and g(x) = x² - 2, then
(f - g)(x) = f(x) - g(x)
= (2x² + 5) - (x² - 2)
= 2x² + 5 - x² + 2
= 2x² - x² + 5 + 2
= x² + 7
