What is the center and radius of the circle? * x^2+ y^2+ 4y + 4 = 36
1 answer:
Answer:
(0, - 2 ), r = 6
Step-by-step explanation:
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 is the radius
Rearrange the given equation collecting the terms in y together, that is
x² + y² + 4y + 4 = 36 ( subtract 4 from both sides )
x² + y² + 4y = 32
Use the method of completing the square on the y- terms
add ( half the coefficient of the y- term)² to both sides
x² + y² + 2(2)y + 4 = 32 + 4
x² + (y + 2)² = 36 ← in standard form
with (h, k ) = (0, - 2 ) and r² = 36, thus
centre = (0, - 2 ) and r = = 6
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Answer:
where = 2
Step-by-step explanation:
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if we pick a point on say hmmm (4, 0), namely x = 4 and y = 0, we can plug that in the inequality and see what we get,
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is 12 really greater or equals to 6? well yes, therefore, the point (4, 0) lies on the "true region", since it's true, 12 is indeed ⩾ 6, so, where that point is, we shade.
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check the picture below.
3x - 6 ⩾ y
now, with inequalities, what we do is, we graph the line of 3x - 6 = y, and then we shade the "true region".
if we pick a point on say hmmm (4, 0), namely x = 4 and y = 0, we can plug that in the inequality and see what we get,
3(4) - 0 ⩾ 6
12 - 0 ⩾ 6
12 ⩾ 6
is 12 really greater or equals to 6? well yes, therefore, the point (4, 0) lies on the "true region", since it's true, 12 is indeed ⩾ 6, so, where that point is, we shade.
now, the ⩾ means equals to or greater, and therefore, since the values could also equal the boundary points, the line is a solid line, because it includes the line itself, as well as the shading.
check the picture below.
Answer:
The value is
Step-by-step explanation:
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The mean of Val cows is
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=>
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Step-by-step explanation:
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