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1 year ago

What is the relationship between translations, reflections, and ridgid motion?

1 answer:

7 0

The relationship between translations, reflections, and rigid motion is that they are all types of rigid motions, which means their size does not change.

<h3>What exactly is rigid motion?</h3>

Rigid motion is the movement of a set in which the distance between points remains constant.

<h3 /><h3>What is translation?</h3>

Translation is a type of rigid motion in which an object simply slides while maintaining its direction.

<h3 /><h3>What do you mean by reflection?</h3>

A reflection, like a mirror, causes an image to flip to another location.

We must establish a connection between translations, reflections, and rigid motion.

We can conclude from the above definitions that the size of the object remains constant, but it is undergoing different transitions.

Therefore, Translations, reflections, and rigid motion all belong to the category of transformations that are rigid motions, which means that their sizes don't change.

Learn more about motion here-

brainly.com/question/22810476

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Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?

laila [671]

Answer:

The age of each person is:

Jess is <u>21</u> years old.
Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. $j=(\frac{m}{2})-12$

The second equation has the information "The sum of their age is 87":

2. $j+m=87$

Now, we replace the first equation in the second one:

$(\frac{m}{2}-12) +m=87$

And we operate:

$\frac{m-24}{2} +m=87$
$\frac{m-24+2m}{2}=87$
$\frac{3m-24}{2}=87$

We clear the variable m:

$3m-24=87*2$
$3m=174+24$
$m=\frac{198}{2}$
$m=66$

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

$j+m=87$

We replace the value of m:

$j+66=87$

And clear the variable j:

$j=87-66$
$j=21$

In the end, Jess's age is 21 years old.

4 0

3 years ago

I really need help!!!

antiseptic1488 [7]

(a)

A right angle sums to 90

6x + 4x + 10 = 90

10 x = 80

x = 8

(b) straight line = 180

5x + 13 + 3x + 7 = 180

x = 20

(c) Sum of triangle angles = 180

3x + 5 + 2x + 18 + 2x + 17 = 180

x = 20

(d) Sum of two angles in right angle = 90

90 = x + 30

x = 60

5 0

3 years ago

Can you help me solve this please

OLga [1]

Answer:

-22+27i

Step-by-step explanation:

$i = \sqrt{ - 1} \\ (3 - 4i)( - 6 + i) \\ = (3 - 4 \sqrt{ - 1} )( - 6 + \sqrt{ - 1} ) \\ = 3( - 6 + \sqrt{ - 1)} - 4 \sqrt{ - 1} ( - 6 + \sqrt{ - 1} ) \\ = - 18 + 3 \sqrt{ - 1} + 24 \sqrt{ - 1} - 4 \\ = - 22 + 27 \sqrt{ - 1} \\ putting \: \: \: \sqrt{ - 1 } = i \\ = - 22 + 27i$

Hope it helps.

Don't forget to click the Brainliest button if you like my answer.

8 0

2 years ago

Will mark BRAINLIEST

balu736 [363]

Answer:

(-4,22)

Step-by-step explanation:

is the right answer

3 0

3 years ago

Read 2 more answers

Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured

kenny6666 [7]

By analyzing the graph of the transformed function, we can see that:

g(x) = 2*|x - 2| - 4

<h3>How to get the function g(x)?</h3>

In the image we have two graphs, the yellow one is the graph of g(x).

First, analyzing the vertex we can see the translation used, you need to remember:

<u>Horizontal translation:</u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.
If N is negative, the shift is to the right.

<u>Vertical translation:</u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.
If N is negative, the shift is downwards.

We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:

g(x) = |x - 2| - 4

Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:

g(x) = 2*|x - 2| - 4

This is the transformed function.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

5 0

2 years ago