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irga5000 [103]
3 years ago
13

Reflect the image over the y-axis and then translate 8 units down. What are the coordinates for C’?

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

(-7, -7)

Step-by-step explanation:

1. Let's ONLY focus on point C.

2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).

  • Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).

3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).

  • Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)

Therefore, the coordinates for C' are (-7, -7).

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So our expression is:
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4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

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We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
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Now add your values:
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Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

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Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

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Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


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