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3 years ago

The sum of two numbers is 70. One number is 10 more the twice the other number.

Mathematics

1 answer:

GalinKa [24]3 years ago

4 0

Answer:

20 and 50

Step-by-step explanation:

x + y = 70

y = 2x + 10

Use the substitution method:

y = 70 - x

y = 2x + 10

70 - x = 2x + 10

3x = 60

x = 20

x + y = 70

20 + y = 70

y = 50

x = 20

y = 50

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1 year ago

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2 years ago

The equation for the ellipse given is 4x^2+9y^2-16x+18y-11

natita [175]

Answer:

a. a = 3, b = 2

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d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

$\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1$

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

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b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

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d. Please find attached the graph of the ellipse created with MS Excel

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