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Maurinko [17]
3 years ago
14

Part

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

When a shape is rotated, it must be rotated around a point.

<em>To determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by </em>90^o<em>.</em>

<em />

From the question, we have:

C = (5,-1) --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

(x,y) \to (x - 5, y + 1)

Then the vertices are rotated by 90^o

<u />

<u>The rule of </u>90^o<u> rotation is:</u>

(x,y) \to (-y,x)

So, we have:

(x - 5,y + 1) \to (-y - 1,x - 5)

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

(0,2) \to (-2-1,0-5) \to (-3,-5)

(0,5) \to (-5-1,0-5) \to (-6,-5)

(4,2) \to (-2-1,4-5) \to (-3,-1)

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

Read more about rotations at:

brainly.com/question/1571997

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Answers <br> (-2,3)<br><br> (-2,4)<br><br> (-3,2) <br><br> (3.-2)
GuDViN [60]
(3,-2)
I believe that is the correct answer
5 0
3 years ago
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A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by de
andrezito [222]

All the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.

Therefore all the points  The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.

To know more about graphs follow

brainly.com/question/25020119

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6 0
2 years ago
The answer are not in the right order first to answer i will name brainly
Nady [450]

Answer:

it would go pink, purple, green

Step-by-step explanation:

4 0
3 years ago
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Solve this <br> <img src="https://tex.z-dn.net/?f=4%5Cleft%285x-2%5Cright%29%3D2%5Cleft%289x%2B3%5Cright%29" id="TexFormula1" ti
vampirchik [111]

Answer:

  • Solution of equation ( x ) = <u>7</u>

Step-by-step explanation:

In this question we have given with an equation that is <u>4</u><u> </u><u>(</u><u> </u><u>5</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>(</u><u> </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>3 </u><u>)</u><u>.</u> And we are asked to solve this equation that means we have to find the value of <u>x</u><u>.</u><u> </u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

<u>\quad \longrightarrow \: 4 ( 5x - 2 ) = 2 ( 9x + 3 )</u>

<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis :

\quad \longrightarrow \:20x - 8 = 18x + 6

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 8 from both sides :

\quad \longrightarrow \:20x - \cancel{ 8 }+  \cancel{8} = 18x + 6 + 8

On further calculations we get :

\quad \longrightarrow \:20x = 18x + 14

<u>Step </u><u>3 </u><u>:</u> Subtracting 18 from both sides :

\quad \longrightarrow \:20x - 18x =  \cancel{18x }+ 14 -  \cancel{18}

On further calculations we get :

\quad \longrightarrow \:2x = 14

<u>Step </u><u>4</u><u> </u><u>:</u> Dividing with 2 on both sides :

\quad \longrightarrow \: \frac{ \cancel{ 2}x}{ \cancel{2}}  =   \cancel{\frac{14}{2} }

On further calculations we get :

\quad \longrightarrow \:  \blue{\boxed{ \frak{x = 7}}}

  • <u>Therefore</u><u>,</u><u> </u><u>solution</u><u> </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>or </u><u>we </u><u>can </u><u>say </u><u>that </u><u>value </u><u>of </u><u>this </u><u>equation</u><u> </u><u>is </u><u>7</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

We are verifying our answer by substituting value of x in given equation. So ,

  • 4 ( 5x - 2 ) = 2 ( 9x + 3 )

  • 4 [ 5 ( 7 ) - 2 ] = 2 [ 9 ( 7 ) + 3 ]

  • 4 ( 35 - 2 ) = 2 ( 63 + 3 )

  • 4 ( 33 ) = 2 ( 66 )

  • 132 = 132

  • L.H.S = R.H.S

  • Hence, Verified.

<u>Therefore</u><u>,</u><u> </u><u>our </u><u>value</u><u> for</u><u> x</u><u> is</u><u> </u><u>correct </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
4 0
2 years ago
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Someone pls help me :)
klasskru [66]

1.

25%

.3 + .2 + .15 + .1 = .75

1.00 - .75 = .25

2.

120 students

There are 400 total students

.3 * 400 = 120

4.

tennis-

.1 * 400 = 40 students prefer tennis

football-

.25 * 400 = 100 students prefer football

140 students like football/tennis

5.

400 students

There are four quarters in a whole

.25% = 100

100 * 4 = 400

4 0
3 years ago
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