Help Needed: 105 Math Problems to Solve Before Tomorrow's Test

[Scofield001]

Hello. We got an assignment of 105 math problems. I solved them all except the ones I wrote on a sheet of paper and took a picture. If anyone can help me with ANY ONE OF THESE, I'll be very grateful. This is a study review and I need to have the solutions so I can study for my tomorrow's test (if I have an example of a problem, I can interpret it then). And it's not that I'm studying the last day, I studied all other problems that I've solved by myself, but these ones I just can't and believe me, I tried to understand them.

Thanks in advance!

 

[Vineeth T]

Answer for the first question can be found out by using the formula:
(x-a)²+(y-b)²=k²
where (a,b) is the centre of the circle [mid point of the line joining the two points given]
and k is the radius of the circle [distance between the centre and either of the points given].

You should get the centre to be (1,1).
The equation will be (x-1)²+(y-1)²=34.

 

[haruspex]

Please post each as a separate thread and use the template. In particular, you must show your own attempts, or make clear what it is that you do not understand. Stating the relevant equations and principles you are aware of helps responders know what level of knowledge to assume.

 

[micromass]

Please post each as a separate thread and use the template. In particular, you must show your own attempts, or make clear what it is that you do not understand. Stating the relevant equations and principles you are aware of helps responders know what level of knowledge to assume.

Good post!

This thread is locked. I hope the OP will follow this advice.