Find the distance between the pair of points.(1, 1) and (-5, -7)

Find the coordinates of the vertex for the parabola defined by the given quadratic function.f(x) = (x + 3)2 + 9

Solve the exponential equation. Express the solution set in terms of natural logarithms.4 x + 6 = 7

Use the given conditions to write an equation for the line in the indicated form.Passing through (4, 4) and perpendicular to the line whose equation is y = x + 5;slope-intercept form

Evaluate the expression without using a calculator.3log319

Solve the system by the addition method. x + 6y = 176x + 5y = 9

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.y = 15 – 3x12x + 4y = 60

Find the domain of the logarithmic function.f(x) = log8(x – 3)

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -x2 – 3x – 9

Find the domain and range of the quadratic function whose graph is described.The vertex is (-1, -2) and the graph opens up.