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mars1129 [50]
3 years ago
12

Complete the square and wright in standard form x^2+y^2-8x-12+52=36

Mathematics
2 answers:
Sphinxa [80]3 years ago
5 0
X² + y² - 8x - 12y + 52 = 36
x² - 8x + y² - 12y + 52 = 36
x² - 8x + y² - 12y = 88
(x² - 8x + 16) + (y² - 12y + 36) = 88 + 16 + 36
(x - 4)² + (y - 6)² = 138
(h, k) = (x, y) = (4, 6)

mixas84 [53]3 years ago
5 0
x^2+y^2-8x-12y+52=36 \\
x^2-8x+16+y^2-12y+36-16-36+52=36 \\
(x-4)^2+(y-6)^2-52+52=36 \\
\boxed{(x-4)^2+(y-6)^2=36}
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Isaac drove at an average speed of 49 mph over six hours. During the first three hours he drove at a speed that was 172 mph less
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Issac drove the first three hours at 44 miles per hour.

Step-by-step explanation:

Given,

Average speed of Isaac = 49 mph

Let,

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Average = \frac{Sum\ of\ terms}{No.\ of\ terms}

49=\frac{(4x-172)+x}{2}\\\\49=\frac{4x-172+x}{2}\\\\49=\frac{5x-172}{2}

Multiplying both sides by 2

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Issac drove the first three hours at 44 miles per hour.

Keywords: average, division

Learn more about average at:

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An auditorium has rows of seats with 8 seats in each row. Kayla knows there are at least 70 seats but fewer than 340 seats in th
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The possible number of rows can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, or 42.

Step-by-step explanation:

First of all, if there are 70 seats, there should be 9 rows. (9*8 =72, which has 70 seats). And, 340 seats are there, so 340/8 = 42.5, i.e. 42 rows can be there at maximum. So, the actual number of rows can be between 9 and 42. Therefore the possible number of rows can be 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, or 42.

Hope this helps. :)

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After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression
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Now, we only have A and B left. A tip on  how to figure this out is reading the word problem out thoroughly. I will use B as an example. 5 boxes of granola bars were multiplied by the number of granola bars each student got. From reading this, it makes more sense. But it does change the example sentence, though.

I hope this helped and this is the right answer!

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