For questions 8 and 9, determine if S could lie on the perpendicular bisector of QR with the given coordinates.

8. Q(-5, -1), R(3, 7), S(4,-2)

9. Q(-5, 4), R(8.-3), S(-2.-5)

Rectangle abcd is translated to get rectangle a’b’c’d’. rectangle abcd moves units along the x-axis to get rectangle a’b’c’d’. rectangle abcd moves units along the y-axis to get rectangle a’b’c’d’. the algebraic rule that describes this translation is t(x, y), where x = and y = .

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

Rena is building a 1: 180 scale model of a real castle. her model has a rectangular base that is 3 feet wide and 4 feet long what is the area of the base of the actual castle in square feet