Question

In the following exercises, (a) identify the center and radius and (b) graph. $x^2+y^2-4 x+10 y-7=0$

   In the following exercises, (a) identify the center and radius and (b) graph.
$x^2+y^2-4 x+10 y-7=0$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 11, Problem 43 ↓
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In the following exercises, (a) identify the center and radius and (b) graph. $x^2+y^2-4 x+10 y-7=0$
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Transcript

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00:01 Okay, so for this question, we want to find our center as well as our radius.
00:07 So we want to rewrite our equation that we have on our left in standard form.
00:12 So we'll start by grouping our x, and then we want to complete the square, or both our x and our y.
00:19 So this is a y squared plus 10y, and then plus something, and then we'll move our constants to our right -hand side.
00:27 So that's negative 4.
00:29 Okay, and now let's complete our square.
00:31 We'll take our b value here, so that's negative four divided by two.
00:36 That gives us negative two and then take it to the power of two.
00:39 So that's equal to four...
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