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riadik2000 [5.3K]
3 years ago
13

Find the center and radius of each circle x^2+y^2-6x+2y+9=0

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square on both the x and y terms

x² - 6x + y² + 2y = - 9 ← rearranging

x² + 2(- 3)x + 9 + y² + 2(1)y + 1 = - 9 + 9 + 1

(x - 3)² + (y + 1)² = 1 ← in standard form

with centre (3, - 1) and radius 1



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Question 4 Unsaved
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What fractions are equivalent to -15/23
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Answer:These are just some

equivalent fractions of -15/23:

-15/23 = -30/46 = -45/69

= -60/92 = -75/115 = -90/138

= -105/161 = -120/184 = -135/207

= -150/230 = -165/253 = -180/276

= -195/299 = -210/322 = -225/345

= -240/368 = -255/391 = -270/414

= -285/437 = -300/460 = -315/483

= -330/506 = -345/529 = -360/552

= -375/575 = -390/598 = -405/621

= -420/644 = -435/667 = -450/690

= -465/713 = -480/736 = -495/759

= -510/782 = -525/805 = -540/828

= -555/851 = -570/874 = -585/897

= -600/920 = -615/943 = -630/966

= -645/989 = -660/1012 = -675/1035

= -690/1058 = -705/1081 = -720/1104

= -735/1127 = -750/1150 = -765/1173

= -780/1196 = -795/1219 = -810/1242

= -825/1265 = -840/1288 = -855/1311

= -870/1334 = -885/1357 = -900/1380

= -915/1403 = -930/1426 = -945/1449

= -960/1472 = -975/1495 = -990/1518

= -1005/1541 = -1020/1564 = -1035/1587

= -1050/1610 = -1065/1633 = -1080/1656

= -1095/1679 = -1110/1702 = -1125/1725

= -1140/1748 = -1155/1771 = -1170/1794

= -1185/1817 = -1200/1840 = -1215/1863

= -1230/1886 = -1245/1909 = -1260/1932

= -1275/1955 = -1290/1978 = -1305/2001

= -1320/2024 = -1335/2047 = -1350/2070

= -1365/2093 = -1380/2116 = -1395/2139

= -1410/2162 = -1425/2185 = -1440/2208

= -1455/2231 = -1470/2254 = -1485/2277

Step-by-step explanation: there ya go

5 0
2 years ago
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