Find the equation of the ellipse with the following properties.

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

The equation of an ellipse where the major axis 2a is greater than the minor 2b
(x-h)²/a² + (y-k)²/b² =1.
When 2b>2a , then the equation becomes (y-h)²/b² + (x-k)²/a² =1
In our example a = 4 and b = 9. Moreover h=0 and k=0 because the center is on the origin, so the equation becomes:
y²/b² + x²/a² = y²/81 + x²/16 = 1

kaheart [24]3 years ago

5 0

Check the picture below

so.. hmm notice the center h,k and the major and minor axis components, thus just plug them in.

You might be interested in

What is the simplified value of the exponential expression 64 1/4

katrin [286]

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
64^{\frac{1}{4}}\qquad \boxed{64=2^6}\qquad (2^6)^{\frac{1}{4}}\implies 2^{6\cdot \frac{1}{4}}\implies 2^{\frac{6}{4}}\implies 2^{\frac{3}{2}}
\\\\\\
\sqrt[2]{2^3}\implies \sqrt{2^{2+1}}\implies \sqrt{2^2\cdot 2^1}\implies 2\sqrt{2}$

3 0

3 years ago

Which inequality is a true statement?

max2010maxim [7]

Answer:

The true answer is " -3 < -1.

Step-by-step explanation:

I say this because these numbers are negatives. If you put them on a number line you can see that the bigger numbers are farther from the postitives. Postitive numbers are bigger so whatever is close to them is bigger. So because (-1) is closer to them it would be greater, which is what the symbol "<' states.

7 0

3 years ago

What’s the answer to this please I rlly need it

emmasim [6.3K]

Answer:I think its last one sorry if I am wrong

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

HELP ME PLZ !!! The first one who answers gets brainliest

Snowcat [4.5K]

Believe the answer is the second one, 7