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4 years ago

What is the standard form for 25x²+4y²+50x-24y-39=0

2 answers:

8 0

25x² + 4y² + 50x - 24y - 39 = 0
25x² + 50x + 4y² - 24y - 39 = 0
25x² + 50x - 39 = 0 4y² - 24y - 39 = 0
x = -b + √b² - 4ac y = -b + √b² - 4ac
 2a 2a
x = -50 + √(-50)² - 4(25)(-39) y = -(-24) + √-(-24)² - 4(4)(-39)
 2(25) 2(4)
x = -50 + √2500 + 3900 y = 24 + √-576 + 624
 50 8
x = -50 + √6400 y = 24 + √48
 50 8
x = -50 + 80 y = 24 + √16 × 3
 50 8
x = -50 + 80 y = 24 + √16 √3
 50 8 
x = -50 + 80 y = 24 + 4 √3
 50 8
x = -50 + 80 y = 24 + 4 √3 
 50 8
x = -50 + 80 x = -50 - 80 y = 24 + 4 √3 y = 24 - 4 √3
 50 50 8 8
x = 30 x = -130 y = 28 √3 y = 20 √3
 50 50 8 8
x = 3 x = -13 y = 28 √3 y = 20 √3
 5 5 8 8
(x, y) = (3, 26 √3) (x, y) = (-13, 20 √3 )
 5 8 5 8

Korvikt [17]4 years ago

5 0

$25x^2+4y^2+50x-24y-39=0\\
25x^2+50x+25+4y^2-24y+36-100=0\\
(5x+5)^2+(2y-6)^2=100$

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Write2.1 as a mixed number and as an improper fraction. Do not try to simplify your answers.

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2 1/10 and 21/10

Step-by-step explanation:

2.1 is 2 + 0.1 when expanded.

2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be 2 1/10.

The improper fraction is just 21/10 (convert the mixed number into improper form).

Converting from mixed number to improper: Multiply the number in the front (in this case 2) by the denominator.

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3 years ago

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Thus, Option D is the correct answer.

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3 years ago