We are given original equation: 
We need to find the enter and radius of a circle using the completing the square method.
The steps are as following :
Step 1 [original equation]: x^2 − 10x + y^2 + 12y = 20 .
Step 2 [group like terms]: (x^2 − 10x) + (y^2 + 12y) = 20
Step 3 [complete the quadratics]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 20 + (25 + 36).
Step 4 [simplify the equation]: (x^2 − 10x + 25) + (y^2 + 12y + 36) = 64.
Step 5 [factor each quadratic]: (x − 5)^2 + (y + 6)^2 = 8^2
Step 6 [identify the center and radius]: Center = (5, −6) Radius = 8.
<h3>Step 6 is incorrect.</h3><h3>The center should be (5,-6).</h3><h3> Replace − 5 with + 5 and replace + 6 with − 6.</h3>
Answer:
<h2>
<em>2</em><em>2</em></h2>
<em>Option </em><em>C</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>correct</em><em> </em><em>option</em><em>.</em>
<em>Solu</em><em>tion</em><em>,</em>
<em>
</em>
<em>(</em><em>opposite</em><em> </em><em>angles</em><em> </em><em>of</em><em> </em><em>parallelog</em><em>ram</em><em> </em><em>are</em><em> </em><em>equal </em><em>)</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> </em><em>y</em><em>our</em><em> assignment</em><em>.</em><em>.</em>
Answer:
2) C
3) 62 degrees
Step-by-step explanation:
72+46=118
180-118
Hope this helps
Answer:
1.15 miles closer
Step-by-step explanation:
you just subtract 1 3/5 from 2 3/4
1 3/5 = 1 12/20
2 3/4 = 2 15/20
2 15/20- 1 12/20 = 1 3/20 = 1.15
Yes, because to be in congruent with something means to have the same shape and size.
Hope this helps!
