Find the standard form of the equation of the ellipse satisfying the following conditions. Major axis vertical with length 14;

Question

3 years ago

10

length of minor axisequals10; center: (negative 7,3)

1 answer:

Evgesh-ka [11] · Answer 1 · 2022-08-19T07:08:43+03:00

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Mayor axis vertical = 14

Minor axis = 10

Center = (-7, 3)

Formula

Mayor axis = 2a

Minor axis = 2b

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

Process

2a = 14 2b = 10

a = 7 b = 5

h = -7 k = 3

Substitution

$\frac{(x+7)^{2} }{5^{2} } + \frac{(y - 3)^{2} }{7^{2} } = 1$

Find the standard form of the equation of the ellipse satisfying the following conditions. Major axis vertical with length 14​;