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Galina-37 [17]
3 years ago
15

How to classify this conic ecwation 4x^2+9y^2-54y-63=0

Mathematics
1 answer:
MArishka [77]3 years ago
6 0
This looks like an ellipse.
Complete the square for y: 9(y²-6y-7)=9(y²-6y+9-9-7)=9((y-3)²-16).
Rewrite the equation:
4x²+9(y-3)²-144=0; 4x²/144+9(y-3)²/144=1; x²/36+(y-3)²/16=1.
Standard equation of an ellipse is (x-h)²/a²+(y-k)²/b²=1, where (h,k) is the origin or centre.
This is the equation of an ellipse with centre (0,3), a=6 and b=4 (semimajor and semiminor axes).
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Solve 3x-2/4 - 2x+5/3 = 1-x/6
Nadya [2.5K]

Answer:

Pasos para resolver una ecuación lineal

3x−2/4−2x+5/3=1−x/6

Multiplique ambos lados de la ecuación por 12, el mínimo común denominador de 4,3,6.

36x−3×2−24x+20=12−2x

Multiplica −3 y 2 para obtener −6.

36x−6−24x+20=12−2x

Combina 36x y −24x para obtener 12x.

12x−6+20=12−2x

Suma −6 y 20 para obtener 14.

12x+14=12−2x

Agrega 2x a ambos lados.

12x+14+2x=12

Combina 12x y 2x para obtener 14x.

14x+14=12

Resta 14 en los dos lados.

14x=12−14

Resta 14 de 12 para obtener −2.

14x=−2

Divide los dos lados por 14.

x=

14

−2

​

Reduzca la fracción  

14

−2

 a su mínima expresión extrayendo y anulando 2.

x=−

7

1

Step-by-step explanation:

7 0
2 years ago
33 34 and 35 please help
Kryger [21]

first you have to find the triangle, then you can move to the actual question.

x+30+80 = 180

x+110 = 180

x+110 - 110 = 180-110

x =70

now you can go to the actual question.

y + 70 = 180

y+70- 70 = 180-70

y = 110

there is your answer. hope this is helpful

7 0
3 years ago
The data set represents the number of snails that each person counted on a walk after a rainstorm. 12, 13, 22, 16, 6, 10, 13, 14
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The outlier of the data set is 22


hope this helps!!
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3 years ago
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A top swimmer would be able to swim across a 25-meter pool in about
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Answer:

125 m/min

Step-by-step explanation:

Find the rate (speed) as follows:

  25 meters

--------------------- = (125/1) meters/min = 125 m/min

 (1/5) minute

This is equivalent to about 380 ft/min

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Answer:

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8 0
3 years ago
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