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Andre45 [30]
3 years ago
12

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = \frac{1}{2}

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) → B'(-1, 1)

         C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

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olga55 [171]

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Even if a person doesn't show symptoms, they can still have it.

Step-by-step explanation:

That's the problem.

Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.

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3 years ago
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What is the solution to this system of equations PLEASE HURRY
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-6,-2

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7 0
3 years ago
Solve the equation <br> x + 10 = 20
Gnoma [55]
20-10=10 therefore X=10

10+10=20
7 0
1 year ago
Comppete the equation <br> X^2+y^2-10x+6y=15
mart [117]
I believe you meant:  Use completing the square to determine the center and radius of the circle represented by this equation:   <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
     (x-5)^2               +   (y+3)^2            = 24   = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
8 0
3 years ago
Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds
Makovka662 [10]

<u>Step 1</u>

Convert mixed fractions into fractions

6 2/5 = (6*5)+2) / 5 = 32/5

2 2/3 = (2*3)+2) / 3 = 8/3

<u>Step 2</u>

32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

<u>Step 2 (A)</u>

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

<u>Step 2 (B)</u>

Multiply 1st fraction to the reciprocal of the 2nd fraction

32/5 * 3/8 = (32*3) / (5*8) = 96/40

<u>Step 2 (C)</u>

Simplify the fraction

96/40 divide by 4 will become 24/10

24/10 divide 2 will become 12/5. The simplest fraction of 96/40

The unit rate is 12/5 = 2 2/5 revolutions per second

3 0
3 years ago
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