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Mamont248 [21]
2 years ago
11

15 points! What is the slope and y-intercept of the line in each graph?

Mathematics
1 answer:
yaroslaw [1]2 years ago
6 0

Answer:

1. Slope: -2/1, Y intercept: 1

2. Slope: 1, y intercept: -15

3. Slope : 3/2, y intercept : -2

4. Slope: 1, y intercept: 9

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What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

  • (h, k) is the center of the ellipse
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Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

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3 years ago
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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