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sattari [20]
2 years ago
10

Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1 ​

start fraction, 1, divided by, 3, end fraction.
Mathematics
1 answer:
zavuch27 [327]2 years ago
8 0

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

<h3>How to dilate the triangle?</h3>

From the complete question, we have the following coordinates:

  • Point A = (-4,5)
  • Point B = (7,-7)
  • Point C = (-2,2)
  • Point P = (1,-4)
  • Scale factor, k = 1/3

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

Read more about dilation at:

brainly.com/question/16752437

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If 3 is added to a number and multiplied the result by 5 gives 55 what is the number​
MakcuM [25]

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

6 0
3 years ago
Please help!
kotegsom [21]

Answer:

7

Step-by-step explanation:

f(x) means y, it is equal to the value of y, so f(x) = y

so, f(1) means to find the value of y when the value of x is 1, and that is 7, since 7 is the value of y indicated when the value of x is 1.

I hope this is helpful.

4 0
3 years ago
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