14) let a : let f: a y be continuous; let y be hausdorf. show that if y, then g is uniquely deter- may be extended to a continuous function g: a mined byf.

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de