1Find the distance between the pair of points

(2,3)

and

(4,7).

If necessary, express the answer in simplified radical form and then round to two decimal places.

The distance between the given points is

enter your response here( )

units.(Simplify your answer. Type an exact answer, using radicals as needed.)Part 2Express the distance rounded to two decimal places if the exact simplified answer contains radicals.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The distance between the given points is approximately

enter your response here

units.

(Type an integer or decimal rounded to two decimal places as needed.)

B.

The exact simplified form does not contain radicals.

2Write the standard form of the equation of the circle with the given center and radius.

Center (2,5) r=4

Type the standard form of the equation of the circle.

3You have 850 feet of fencing to enclose a rectangular field. However, the width of the field lies along a canal and requires no fencing. Express the area of the field, A, as a function of its length, x.

4Factor the expression completely or state that the polynomial is prime.

5x25x150

Select the correct choice below and fill in any answer boxes within your choice.

A.

5x25x150=___ <-- if chose is A fill in answer

(Factor completely.)

B.

The polynomial is prime.

Factor the polynomial completely, or state that the polynomial is prime

Select the correct choice below and fill in any answer boxes within your choice.

A.

4x464=___ <-- if chose is a fill in Answer

B.

The polynomial is prime.