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zavuch27 [327]
3 years ago
6

What is the number 1 2 3 and 4

Mathematics
1 answer:
Alik [6]3 years ago
3 0
I honestly could not tell you???
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Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
How much must you deposit in an account to earn $400 per year at 2% simple interest?
Strike441 [17]

Step-by-step explanation:

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

...

Simple Interest Example:

Simple Interest

1 Year S.I = (1000 ×5 × 1)/100 = 50

2 Year S.I = (1000 × 5 × 2)/100 = 100

3 Year S.I = (1000 ×5 × 3)/100 = 150

7 0
2 years ago
Which of the following points does not lie on the graph of y=5x-5?<br> (0-5)<br> (1.0)<br> (-5.0)
mojhsa [17]
Y=5x-5
0=5x-5
-5x=-5

X=1
8 0
3 years ago
Find the distance between a and b
nataly862011 [7]
THE DISTANCE IS 7 UNITS
8 0
3 years ago
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Alex

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3


Therefore, your answer should be:

y = 3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

5 0
1 year ago
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