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.
A number that has 2 or more factors is Composite
Answer:
Online Ordering is better.
Step-by-step explanation:
So you now that you save 20% if you to physical store and you save $20 if you go to the online store.
Say you are spending 100 dollars at the store to make it easy. 20% of one hundred is $20 so that is the same amount of money.
Now let’s look at the taxes and shipping so at the physical store you have to pay taxes no matter what but online you only do it if you purchase is less than $75 and we have $80 ($100–$20=$80) so at the physical store you have some amount of Mandy that is more than $80 because of taxes but if you buy online it will be exactly $80.
Answer:
The ball reaches a height of 29.25 ft after 1.125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(36)/2(-16)
-36/-32
1.125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 36t + 9
h = -16(1.125)^2 + 26(1.125) + 9
29.25 feet
<span> 166cm would be your answer.</span>
