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malfutka [58]
3 years ago
15

Slope, run and rise of (5,0) (0,-4)

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0
If you want to find the slope:
(0--4)
--------
(5-0)

4/5 is the slope where it is rise over run
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What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?
forsale [732]

Answer: \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Step-by-step explanation:

General equation of ellipse : \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}

Given: Vertices of ellipse : (± 9,0)

Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

c^2=a^2-b^2\\\\\Rightarrow\ 5^2= 9^2-b^2\\\\\Rightarrow\ b^2=81-25\\\\\Rightarrow\ b^2=56

Equation of ellipse :

\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

Hence, the required equation : \dfrac{x^2}{81}+\dfrac{y^2}{56}=1

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4 years ago
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Anika [276]

Answer:

3 : 2

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27 : 18 reduce the numbers = 3 : 2

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3 years ago
The lengths of a particular type of metal rod are modeled by the equation r = |–24x + 120|, where r represents the lengths of th
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