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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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Respuesta de (-0.5)²
Vladimir79 [104]

Answer:

0.25

Step-by-step explanation:

we have

(-0.5)^2

we know that

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substitute

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Remember that

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so

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5 0
3 years ago
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Korvikt [17]

Answer:

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Step by Step Instructions:

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4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bx-4%5Csqrt%7Bx%7D%2B4%20%7D%7Bx%2B4%5Csqrt%7Bx%7D%20%2B4%7D%20%7D" id="Tex
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Answer:

\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}

Step-by-step explanation:

8 0
3 years ago
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