Points m, n, and o are coplanar. points n, o, and p are coplanar. must points m, n, o, and p be coplanar? explain.
a. yes; any four points uniquely determine a plane.
b. yes; plane mno and plane nop are the same plane.
c. no; p is never on plane mno.
d. no; plane mno may not be the same plane as plane nop.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

What is the explicit formula for this sequence? -7, -4, -1, 2, a.) an = 8 + (b - 1)3 b.) an = -7 + (n - 1)3 c.) an = 3 + (n -1) (-7) d.) an = -7 + (n - )

In the triangles, bc =de and ac fe.if the mzc is greater than the mze, then ab isdfelth