<h3>
Answer: (2, 3)</h3>
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Explanation:
1/4 = 0.25 is the scale factor
Multiply this with each coordinate of the given point
0.25*8 = 2 is the new x coordinate
0.25*12 = 3 is the new y coordinate
So (8,12) moves to (2,3) after applying the dilation
The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.
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Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.
Hello!
The dimensions that maximize its area is when the width and the length are the same
The dimensions for the highest area is 40 x 40
The answer is 40 by 40
Hope this helps!
Answer:
7.591 x 10^10
Step-by-step explanation:
You have to move the decimal point over until you have a number under 10 and also the number of times you had to move the decimal point at the end of the number over is your exponent for 10
Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
