Use the distance formula and calculate the distance between the following two points(Leave answers as decimals or in radical form) 1) B(0,0) C(3,4)

2) A(-2,-3) B(-4,7)

3) K(0,-4) L(4,6)

4) H(-17,5) I ( -12,-12)

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2 a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

Write the inverse of the logarithmic function used to represent the situation in model 1, f(x)=3+2in x . express the answer in radical form.

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x