Answer:
A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.
Step-by-step explanation:
Answer:
(-1,-6)
Step-by-step explanation:


(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at
.
Let's find
first.

Now we can obtain
which is
in this case:




.
The vertex is (-1,-6).
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = 
let the third number be x , then
= 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
Answer:
1 kilometre is 0.621 mile
Answer:
Step-by-step explanation:
You cant do a square root for a negative number.