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1 year ago

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Translations Use the translation (x,y)(x+5,y-9) for questions 1-7. 1. What is the image of A(-1,3)? 2. What is the image of B(2,

5)? 3. What is the image of C(4,-2)? 4. What is the image of A'? 5. What is the preimage of D'(12,7)? 6. What is the image of A"?

1 answer:

lara [203]1 year ago

7 0

Answer:

The answer is c hopes this helps

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$5x + 5x + 2 + 6 = 6x + 4 + 3x \\ 10x + 8 = 9x + 4 \\ 10x - 9x = 4 - 8 \\ x = - 4$

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Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

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9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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Therefore:
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Answer:

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Step-by-step explanation:

(x1 , y1) (x2 , y2) = (-10 , -1) (-6 , 7)

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