Ten-thousand AFAFANDIUAHDIUAHIUDHAIDh (had to write 20 more "letters")
Definition: A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
Four types of isometries:
1. Translation -- sliding a shape from one spot to another on the xy-plane;
2. Reflection -- creating a mirror image of a shape by reflecting a shape over a line, called the axis of reflection, on the xy-plane;
3. Rotation -- rotating a shape around a point, called the center of rotation, on the xy-plane;
4. Glide reflection -- a composite transformation which is a translation followed by a reflection in line parallel to the direction of translation.
Translations, reflections, and rotations don't change the shape or size of the shape being transformed, so we can see that these three types of transformations are isometric, the glide reflection doesn't change the shape or size of the shape being transformed, but changes orientation.
A composition or sequence of isometries occurs when two or more transformations are combined to form a new transformation. In a composition, one transformation produces an image upon which the other transformation is then performed (as for the glide reflection). The composition of isometries is always the isometry (preserves lengths).
Answer: correct choice is B.
25/4 because the 25 and 4 can be square rooted to 5/2
Answer:
−5(x+2)=−4x−12−x+2
Step-by-step explanation:
1) −5(x+2)=−4x−12−x+2
−5x−10=−4−10−x
-5x= -5x
0=0
so, it is true for all values
Answer:
Simplifying
5(6.2a + 9.8) = 18
Reorder the terms:
5(9.8 + 6.2a) = 18
(9.8 * 5 + 6.2a * 5) = 18
(49 + 31a) = 18
Solving
49 + 31a = 18
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + 31a = 18 + -49
Combine like terms: 49 + -49 = 0
0 + 31a = 18 + -49
31a = 18 + -49
Combine like terms: 18 + -49 = -31
31a = -31
Divide each side by '31'.
a = -1
Simplifying
a = -1