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Veseljchak [2.6K]
3 years ago
14

What is the image of the point (0, 9) after a rotation 90° clockwise about the origin?

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0
<h2>Answer:</h2>

\boxed{A'(9,0)}

<h2>Step-by-step explanation:</h2>

When we rotate a point we could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation.

On the coordinate plane, consider the point (x,y). To rotate this point by 90° around the origin in clockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:

(x,y)\rightarrow(y,-x)

So:

A(0, 9) \rightarrow A'(9,0)

Finally, the new point is:

\boxed{A'(9,0)}

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True or false 398+9 = 400+8
defon

Answer: False

Step-by-step explanation:

398 + 9 = 407

400 + 8 = 408

If the equation was 398 + 10 then yes it will be equal to 400 + 8

4 0
3 years ago
*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle
Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

  • On the extension of the side BC , draw a line segment CD ≅ CA
  • Draw the segment AD
  • The line segment CE is the angle bisector of ∠ACB
  • The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

  side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

7 0
3 years ago
i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a
IgorLugansk [536]
According to the question, 
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5  ........................this is your equation 
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now, 

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
                                   = 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.


7 0
3 years ago
(as a unit rate simplified) 24 bottles for $2.95
AysviL [449]

Answer:

Bottle unit: 8.14

Dollar unit: $0.12

Step-by-step explanation:

Dividing the equation, bottle on top for bottle and dollars on top for dollar.

7 0
3 years ago
I need a chart for this<br>y = 10 - 2x<br>EX: <br><br>0 2<br><br>1 7<br><br>2 12
Julli [10]

Answer:

Hola no se ingles ¿Quieres ser amigas

Step-by-step explanation:

3 0
3 years ago
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