Mathematics: An ellipse is represented by the equation Each directrix of this ellipse is a from the center on the major axis. A. horizontal line that is 5 units B. vertical line that is 5 units C. horizontal line that is 33.8 units D. vertical line that is 33.8 units

An ellipse is represented by the equation Each directrix

Ответ:

itsgiovanna

24.01.2022

Mathematics

C. horizontal line that is 33.8 units

Step-by-step explanation:

We assume your equation should be ...

$\dfrac{(y-3)^2}{169}+\dfrac{(x+6)^2}{144}=1$

The largest denominator in this standard-form equation of an ellipse is under the y-term, so the major axis is vertical. The directrix will be a horizontal line.

The distance from the center to the directrix is always longer than the semi-major axis, so will be more than √169 = 13. This only leaves choice C.

If "c" is the center-to-focus distance, it will be the root of the difference of the denominators in the equation:

c = √(169 -144) = 5

For semi-major axis "a", the distance from the center to the directrix is ...

a²/c = (13²)/5 = 33.8 . . . . . matches choice C

An ellipse is represented by the equation Each directrix of this ellipse is a from the center on t

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Ответ:

rorofhs2009

19.02.2020

Mathematics

$\bf \stackrel{\textit{Sam invested the first year}}{x} \qquad \qquad \stackrel{\textit{2nd year is \$2,000 less than \underline{x}}}{x-2000} \\\\\\ \stackrel{\textit{3rd year is \$1,000 more than \underline{x}}}{x+1000}\qquad \qquad \boxed{\stackrel{\textit{Sam total investment}}{(x)+(x-2000)+(x+1000)}}\\\\ -------------------------------\\\\ \stackrel{\textit{Sally invested the first year \$1000 less than \underline{x}}}{x-1000}$

$\bf \stackrel{\textit{2nd year is \$1500 less than \underline{2x}}}{2x-15000}\qquad \qquad \stackrel{\textit{3rd year is \$1400 more than \underline{x}}}{x+1400} \\\\\\ \boxed{\stackrel{\textit{Sally total investment}}{(x-1000)+(2x-1500)+(x+1400)}}$

$\bf \stackrel{\textit{Sam total investment}}{(x)+(x-2000)+(x+1000)}=\stackrel{\textit{Sally total investment}}{(x-1000)+(2x-1500)+(x+1400)} \\\\\\ 3x-1000=4x-1100\implies 100=x\impliedby \textit{Sam invested the first year} \\\\\\ \stackrel{\textit{Sally invested last year}}{x+1400}\implies 10+1400\implies 1500$

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An ellipse is represented by the equation
Each directrix of this ellipse is a from the center on the major axis.

A. horizontal line that is 5 units
B. vertical line that is 5 units
C. horizontal line that is 33.8 units
D. vertical line that is 33.8 units

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