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Leto [7]
3 years ago
10

PLS HELP! WILL GIVE BRAINLIEST

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

Answer:

  • The center (2, 2.5), radius \sqrt{37} / 2

Step-by-step explanation:

<u>The standard form of the equation of a circle is: </u>

  • ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

<u>Rewrite the given equation in the standard form:</u>

  • 2x^2 + 2y^2 - 8x + 10y + 2 = 0
  • x^2 - 4x + y^2 + 5y = -1
  • x^2 - 4x + 2^2 + y^2 + 5y + (5/2)^2 = -1 + 4 + 25/4
  • (x - 2)^2 + (y + 2.5)^2 = 37/4

<u>The center is:</u>

  • (2, 2.5)

<u>And radius is:</u>

  • <u />\sqrt{37} / 2

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Simplify each of the following ratios.<br>e) 2/3 : 3/2 : 5/8​
Snezhnost [94]

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Step-by-step explanation:

2/3 : 3/2 : 5/8

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2/3 ÷ 3/2 ÷ 5/8

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6 0
2 years ago
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Can you please help me
ioda

Answer: 1/6

Step-by-step explanation:

<u>Given:</u>

4/9 and 11/18

<u>Solve:</u>

<em>STEP ONE: Make the denominators equal by determining the LCM</em>

LCM = Least Common Multiple

First Five multiples of 9 = 9, 18, 27, 36, 45

First FIve multiples of 18 = 18, 36, 54, 72, 90

As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.

<em>STEP TWO: Compare the size and determine the greater one.</em>

4/9 = (4 × 2) / (9 × 2) = 8/18

11/18 = 11/18

Since 11 > 8, therefore, 11/18 is greater than 8/18

<em>STEP THREE: Find the difference between the two fractions.</em>

 11/18 - 4/9

=11/18 - 8/18

=(11 - 8) / 18

= 3 / 18

= 1/6

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
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