2 years ago

Write a function to represent each situation: (Will give brainlest)

Mathematics

2 answers:

svetoff [14.1K]2 years ago

8 0

Answer: babe it doesnt change

Mnenie [13.5K]2 years ago

6 0

Answer: it never changes.

Step-by-step explanation: have a nice day

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What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

AnnZ [28]

Answer:

$x^{2}+y^{2} +4x-2y+1=0$

Step-by-step explanation:

we know that

The general form of the equation of a circle is

$x^{2} +y^{2}+ Dx + Ey + F=0$

where D, E, F are constants

step 1

Find the radius of the circle

Remember that the distance from the center to any point on the circle is equal to the radius

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$(-2,1)\\(-4,1)$

substitute the values

$r=\sqrt{(1-1)^{2}+(-4+2)^{2}}$

$r=\sqrt{(0)^{2}+(-2)^{2}}$

$r=2\ units$

step 2

Find the equation of the circle in standard form

$(x-h)^{2} +(y-k)^{2}=r^{2}$

In this problem we have

center ( -2,1)

radius r=2 units

substitute

$(x+2)^{2} +(y-1)^{2}=2^{2}$

$(x+2)^{2} +(y-1)^{2}=4$

Step 3

Convert to general form

$(x+2)^{2} +(y-1)^{2}=4\\ \\x^{2}+4x+4+y^{2}-2y+1=4\\ \\x^{2}+y^{2} +4x-2y+1=0$

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your answer would be -19

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Step-by-step explanation:

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