Exam 1: Preliminaries

Find an equation of the circle that satisfies the conditions. ​ Center and passes through . ​

Determine whether the points A(-2, 9), B(4, -1), and C(7, -6) lie on a straight line. ​

Find an equation of the line that passes through the point (6, 7) and is perpendicular to the line

If the slope of the line L​₁ is positive, then the slope of a line L​₂ perpendicular to L​₁ may be positive or negative?

Perform the indicated operations and simplify the expression. ​

Find an equation of the line that has slope m = 9 and y-intercept b = 1.

Find the maximum profit P (in dollars) given that ​ ​$ __________

Factor out the greatest common factor from the expression. ​

Rewrite the expression using positive exponents only.

Perform the indicated operations and simplify the expression. ​ ​

Determine whether the statement is true or false. ​ ​

Find an equation of the circle with radius 5 and center (1, 1).

Factor the expression. ​

Rationalize the numerator of the expression. ​ ​

Refer to the following figure. Which points have a negative x-coordinate and a negative y-coordinate? ​

The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisfies the inequality ​ What is the smallest diameter a ball bearing in the batch can have?

Perform the indicated operations and simplify the expression. ​ ​

Determine whether lie on a straight line. ​

Determine whether the line through each pair of points is perpendicular. Answer perpendicular or not perpendicular. A(3, 9), B(11, 5) and C(-3, -9), D(2, 1)

Rationalize the denominator of the expression. ​ ​