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3 years ago

Why do all transformation preserve distance

1 answer:

7 0

Well, a distance-preserving transformation is called a rigid motion, and the name suggests that it moves the points of the plane around in a rigid fashion.

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 rigid 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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Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

find 27 t h term :-

$t_{27} = -1 + (27-1)(-2) = -1-52=-53$

6 0

3 years ago

Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If m

cupoosta [38]

I don’t really need to you can come to my

6 0

3 years ago

Can someone help me with this? ( solving angle measures)

raketka [301]

Answer:

38°

Step-by-step explanation:

Complementary means that they add up to 90
So then to find the measure of angle 2, subtract the measure of angle 1 from 90.

90-52=38

5 0

2 years ago

Read 2 more answers

What is the value of 7

maw [93]

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜

8 0

2 years ago

Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

$t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

3 years ago