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motikmotik
3 years ago
13

Help Please!!!!!!

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

centre = (2, - 1), radius = 6

Step-by-step explanation:

Rearrange the equation by placing the x and y terms together and adding 31 to both sides

Given

x² + y² - 4x + 2y - 31 = 0, then

x² - 4x + y² + 2y = 31

Use the method of completing the square

add ( half the coefficient of the x/y term )² to both sides

x² + 2(- 2)x + 4 + y² + 2(1)y + 1 = 31 + 4 + 1

(x - 2)² + (y + 1)² = 36

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r the radius

compare to (x - 2)² + (y + 1)² = 36, then

centre = (2, - 1) and r = \sqrt{36} = 6

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Find the GCF of the terms of the polynomial. 18x4 – 27x3 – 36x2
d1i1m1o1n [39]

Answer:

9 x^ 2

Step-by-step explanation:

18x4 – 27x3 – 36x2

<u>GCF :</u>

<em>Find the prime factors of each term in order to find the greatest common factor (GCF)</em>

= 9 x^ 2

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3 years ago
Which ratios approximate pi ​(​)?
kramer

9514 1404 393

Answer:

  A: 66/21

  E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

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___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0
3 years ago
What is 1/3 +1/4 equal in math
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The answer to your question would be 7/12 I hope I answered your question today!
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3 years ago
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Someone please help thanks!!!
MArishka [77]

Answer:

-3/2

Step-by-step explanation:

The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.

Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:

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The answer is thus -3/2.

<em>~ an aesthetics lover</em>

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2 years ago
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