i need help on these 4 questions

[devond]

q1
Write the equation for a circle centered at the origin with a radius of 11 units. Use ^2 for squared, ^3 for cubed, etc.


q2
Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).Use ^2 for squared, ^3 for cubed, etc.


q3
Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and (0,4).Use ^2 for squared, ^3 for cubed, etc.


q4
A satellite is orbiting Earth on a path described by x2+y2=45 000 000. A second satellite is in the same plane and is occupying the point (12 504, 16 050). Determine if the orbit is narrower, the same, or wider than the first satellite's.

 

[Deleted member 4993]

q1
Write the equation for a circle centered at the origin with a radius of 11 units. Use ^2 for squared, ^3 for cubed, etc.


q2
Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).Use ^2 for squared, ^3 for cubed, etc.


q3
Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and (0,4).Use ^2 for squared, ^3 for cubed, etc.


q4
A satellite is orbiting Earth on a path described by x2+y2=45 000 000. A second satellite is in the same plane and is occupying the point (12 504, 16 050). Determine if the orbit is narrower, the same, or wider than the first satellite's.

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[pka]

q1, Write the equation for a circle centered at the origin with a radius of 11 units. Use ^2 for squared, ^3 for cubed, etc.

\(\displaystyle x^2+y^2=r^2\) is a circle with center \(\displaystyle (0,0)\) and radius \(\displaystyle r\)

q2, Write the equation for a circle centered at the origin with x-intercepts of (-9,0) and (9,0).Use ^2 for squared, ^3 for cubed, etc.

The radius here is \(\displaystyle 9\). WHY?

q3, Write the equation for a circle centered at the origin with y-intercepts of (0,-4) and (0,4).Use ^2 for squared, ^3 for cubed, etc.

The radius here is \(\displaystyle 4\). WHY?

 

[devond]

thank you

 

[Otis]

… q4 … [first satellite] path described by x^2+y^2=45 000 000 … second satellite is [at] the point (12 504, 16 050) …

Hello devond. Each satellite follows a circle around Earth, and Earth is located at the Origin. To answer question 4, you need to compare the radius of each circle.

For the first circle, use the fact that r^2 is 45000000. For the second circle, use the distance formula because the radius is the distance from Earth (0,0) to any (x,y) point on the circle.

Please show any work that you've tried, if you would like more help. Thanks!

PS: In the future, please start new threads for new exercises, and try to explain why you're stuck. Also, note that we type a caret symbol ^ to show exponents (like those which I added in red to your typing above).

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