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sesenic [268]
3 years ago
13

Which equation represents the translation of x^2 + y^2=16 by 5 units to the right and 2 units down ?

Mathematics
1 answer:
baherus [9]3 years ago
8 0
The equation, x^2+y^2=16 is an equation of the circle which is centered at (0,0), when the circle is moved 5 units to the right and 2 units down, this implies that the center will be at (5,-2)
the new equation will be:
(x-5)^2+(y+2)^2=16

Answer: B] (x-5)^2+(y+2)^2=16
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A movie collector has 105 movie posters and 90 band posters if she sells 21 movie posters then how many band posters should she
kotykmax [81]

Hi there! :)

<u>Answer:</u>

In order to maintain the same ratio, she should sell 18 band posters.


<u>Step-by-step explanation:</u>

<u>Initial ratio:</u>

Ratio is: 105 movie posters for 90 band posters = <u>105 : 90</u>


She sells 21 movie posters, which means that we are left with 105 movies minus the 21 she sold.

105 - 21 = 84 → She now has <u>84</u> movie posters.


In order to answer your question, you'll need to use the cross product method:

105 movie posters → 90 band posters

84 movie posters  → X

<u>(90 × 84)</u> ÷ 105 = X

<u>7,560 ÷ 105</u> = X

72 = X ⇒ Number of band posters she should have left to maintain the same ratio.

She has 90 band posters :

90 <u>- X</u> = 72

Add "X" to each side of the equation → 72 + X = 72 + X

90 = <u>72</u> + X

Subtract 72 from each side of the equation → 90 - 72 = 18

<u>18 = X</u>


There you go! I really hope this helped, if there's anything just let me know! :)

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