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sukhopar [10]
2 years ago
5

Which expression is equivalent to the given expression?

Mathematics
2 answers:
sergij07 [2.7K]2 years ago
4 0

Answer:

4a-12

Step-by-step explanation:

i hope this helps

Tatiana [17]2 years ago
3 0

Answer:

The answer is 4a-12

Step-by-step explanation:

Hope this helped :>

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What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?
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Option A: \frac{1}{3} is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}

Also,

\begin{aligned}A C &=\sqrt{(-12+21)^{2}+(9-18)^{2}} \\&=\sqrt{9^{2}+(-9)^{2}} \\&=\sqrt{81+81} \\&=\sqrt{162}\\&=9\sqrt{2} \end{aligned}

Dividing A'C' by AC, we have,

\frac{A'C'}{AC} =\frac{3\sqrt{2} }{9\sqrt{2}} =\frac{1}{3}

Thus, \frac{1}{3} is the dilation factor

3 0
3 years ago
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write each of the following word names as mixed if you purchase a hundred items that cost $0.25 each how much would the items co
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Answer:$25 because if u times 100 and 0.25 u get 25

Step-by-step explanation:

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2 years ago
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-7-(-9) =<br> What is the answer to the question
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-7 + 9 is 2
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