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Kipish [7]
2 years ago
14

what is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0? o (-12,-2) o (-6, -1) o (6, 1) (12, 2)

Mathematics
1 answer:
Leno4ka [110]2 years ago
7 0

Answer:

(6,1)

Step-by-step explanation:

1.) group the x and y terms (and move the constant to the other side)

x²-12x+y²-2y= -12

divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)

x²-12x+36+y²-2y+1= -12+36+1

factor

(x-6)²+(y-1)²= 25

the center is therefore (6,1)

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Lines m and n are drawn in the coordinate plane. The equation of line m is y=-3x+8 and line n goes through point (-4,-11). When
balandron [24]

Answer:

The equation of line n is;

y = -3x - 23

Step-by-step explanation:

Here, we want to find the equation of line n

For the alternate interior angles to be congruent after drawing the transversal, then both lines must be parallel

If the two lines are parallel, then their slopes are equal

To get the slope of line m, we compare the equation of line m to the standard form

The equation of line m is y = -3x + 8

if we compare this with the standard form which is y = mx + c

Then the slope of line m is -3 and since they are parallel lines, the slope of line n is -3 too

So now, we need to get the equation of line n

It passes through (-4,-11)

What we have already is;

y = -3x + c

we need to get the y-intercept to write the complete equation

To get the y-intercept we simply substitute for (-4,-11)

Thus, we have

-11 = -3(-4) + c

-11 = 12 + c

c = -11-12 = -23

The equation of line n is;

y = -3x - 23

3 0
3 years ago
M is the midpoint of AB. Find the coordinates of B given A(3,8) and M(5,4).
Harlamova29_29 [7]

Answer: B(7,0)

Step-by-step explanation:

Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.

Let the coordinate of B be (x,y)

Therefore, the distance AM is equal to distance MB.

Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}

Comparing corresponding coordinates,

5-3 = x-5

x= 5+5-3 = 7

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y= 4-8+4= 0

Therefore, the coordinate of B is (7,0)

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2 years ago
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Answer:

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2 years ago
What is the imaginary part of the following complex number -31?
Alex787 [66]

Answer:

Step-by-step explanation:

-31 + 0i

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2 years ago
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