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3 years ago

how do you find the diameter of a circle using the equation x^2+y^2+8x-22y-88=0? I need it step by step please

Mathematics

2 answers:

Aloiza [94]3 years ago

3 0

Check attached image file.

MakcuM [25]3 years ago

3 0

You can complete the square on x and y terms to find the radius:-

x^2 + 8x + y^2 - 22y - 88 = 0
(x + 4)^2 - 16 + (y - 11)^2 - 121 - 88 = 0
(x + 4)^2 + (y - 11)^2 = 121 + 88 + 16 = 225
(x + 4)^2 + (y - 11)^2 = 225
compare this with the standard form:-
( x - a)^2 + (y - b)^2 = r^2 where r = radius
So radius = sqrt225 = 15

Diameter = 2*15 = 30 Answer

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3 years ago

If EF=9x+14, FG=56, and EG=250, find the value of x.

nexus9112 [7]

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Value of x =20

Step-by-step explanation:

Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.

Segment Addition Postulates states the following for 3 points that are collinear.

i.e, Let three points A, B and C are collinear and B is between A and C.

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By Segment addition postulates; solve for x;

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3 years ago

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aivan3 [116]

The given above may be modeled by the arithmetic sequence with initial value (I) 2200 and common difference (d) of 70. The number of applicants every year can be written by the equation,
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