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marta [7]
2 years ago
7

Write the equation x² + 6x + y² – 8y = 19 in standard form.

Mathematics
2 answers:
kirza4 [7]2 years ago
8 0

Answer:

Formula used :

  • <u>x²+2xy+y²</u><u> </u><u>=</u><u> </u><u>(x+y)²</u>
  • <u>x²-2xy+y²</u><u> </u><u>=</u><u> </u><u>(x-y)²</u>

→{x}^{2}  + 6x +  {y}^{2}  - 8y = 19 \\  ({x}^{2}  + 2.3.x +  {3}^{2} ) +({y}^{2}  - 2.4.y +  {4}^{2} ) = 19 +  {3}^{2}  +  {4}^{2}  \\  {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 19 + 9 + 16 \\  \boxed{ {(x + 3)}^{2}  +  {(y - 4)}^{2}  = 44}✓

  • <u>3) (x+3)²+(y-4)²=44</u> is the right answer.
Rama09 [41]2 years ago
4 0

Answer:

option C

Step-by-step explanation:

using (X + 3)² + ( y - 4)² = 44

gives you directly x² + 6x + y² - 8y = 19

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