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guapka [62]
3 years ago
10

Why do all transformation preserve distance

Mathematics
1 answer:
yuradex [85]3 years ago
7 0
Well, a distance-preserving transformation is called a rigid motion, and the name suggests that it <em>moves the points of the plane around in a rigid fashion.</em>

A transformation is distance-preserving if the distance between the images of any two points and the distance between the two original points are equal.

If that's confusing, I get it; basically if you transform something, the points from the transformation are image points. Take the distance from a pair of image points, and take the distance from a pair of original points, and they should be the same for a <em>rigid </em>motion.

I keep emphasizing this b/c not all transformations preserve distance; a dilation can grow or shrink things. But if you didn't go over dilations, don't say nothin XD
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Solve for m. <br> 2(5m + 4) = 2 (3m - 10)
agasfer [191]
2(5m+4)=2(3m-10)
10m+8= 6m-20
-6m         -6m
4m+8= -20
      -8     -8
4m= -28
m = -7
3 0
3 years ago
In the third degree polynomial function f(x) =x^3 + 4x, why are 2i and -2i zeros?
IgorC [24]

Answer:

We just need to evaluate and get f(2i)=0, f(-2i)=0.

Step-by-step explanation:

Since i^2=-1, then i^3=i^2i=-i, and we can apply this when we evaluate f(x) =x^3 + 4x for 2i and -2i.

First we have:

f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0

Which shows that 2i is a zero of f(x).

Then we have:

f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0

Which shows that -2i is a zero of f(x).

4 0
3 years ago
I need help 911!!! I need thisss
velikii [3]
Rate of change is another way to say slope.

Slope is (the change in y) / (the change in x).
The formula for slope is:
m = (y2 - y1)/(x2 - x1), with (x1, y1) being one point and (x2, y2) being the second. What you need to do is order the slopes from smallest to largest because slope means the same thing as rate of change.

#17. First, you need to find the slope of function A. To do this, I’m choosing two different points I see on the graph: (1,1) and (2,1). I now plug these into the slope formula:
m = (1-1)/(2-1) = 0/1 = 0.
The slope for function A = 0

To find the slope for function B, you can choose any two points. I’m going to use (3,0) and (6,1)

m = (1-0)/(6-3) = 1/3
The slope for function B is 1/3

For function C, you are already given the slope. That equation is in something called slope-intercept form (y=mx+b), where the x is being multiplied by the slope.
The slope on function C = 1/4

So,, A has the smallest slope, C has the second smallest slope, and B has the largest slope.

#18. The two points in using to find the slope for function A are (0,-3) and (1,0).
m = (0+3)/(1-0) = 3/1 =3
The slope for function A is 3

The two points I’m using for function B are (-2, 10) and (0, 20)
m = (20-10)/(0+2) = 10/2 = 5
The slope for function B is 5

The slope for function C is 1. When the slope is 1, it is not written because any number (other than 0) times 1 equals 1.

Function C has the smallest slope, function B has the second smallest slope, and function C had the largest slope.

It would probably be better for you to try 19 and 20 on your own, and let me or anyone else on Brainly know if you have any questions or something doesn’t make sense.
I hope this has helped!
6 0
3 years ago
55%of92 in percent time
solmaris [256]
That would be <span>50.6, I believe. You multiply 92 by 55% or .55 and get 50.6 </span>
6 0
3 years ago
Bowling alley A charges to rent shoes and per game. Bowling alley B charges to re shoes and per game. a. For what numbers of gam
matrenka [14]

The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.

<h3>How to illustrate the information?</h3>

Fron the information given, the equation will be:

s + 4g = 13

s + 8g = 23

4g = 10

g = 2.5

Therefore, the price of each game is $2.5

The price of shoe rental will be:

s + 4g = 13

s + 4(2.50) = 13

s = 13 - 10.

s = 3

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

4 0
1 year ago
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