If the scale factor of a dilation is 0.5, then the image is enlarged. True or false.

Mathematics

1 answer:

emmasim [6.3K]4 years ago

4 0

False.

The image will have dimensions that are 0.5 times those of the original.

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Simplify the rational expression 6x(x+3)(x-2)/3(x-2)(x+9) A) 2x/x-3 B)2x/(x-9) C) 2x(x+3)/(x+9)

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$\large\boxed{C)\ \dfrac{2x(x+3)}{(x+9)}}$

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$\dfrac{6x(x+3)(x-2)}{3(x-2)(x+9)}=\dfrac{6\!\!\!\!\diagup^2}{3\!\!\!\!\diagup_1}\cdot\dfrac{(x-2)}{(x-2)}\cdot\dfrac{x(x+3)}{(x+9)}=\dfrac{2x(x+3)}{(x+9)}$

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Read 2 more answers

One integer is 7 more than another. Their product is 98. Find the integers,

ipn [44]

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

$\therefore \: x(x + 7) = 98 \\ {x}^{2} + 7x - 98 = 0 \\ {x}^{2} + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7) = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x = - 14 \: or \: x = 7 \\ \\ when \: x = - 14 \\ x + 7 = - 14 + 7 = - 7 \\ \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\$