Find the value of x so that the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7). find x

find the value of x so that the line that passes through (x, 6) and (10, -3) is parallel to the line that passes through (7, 2) and (6, 11). find x

a line segment has endpoints at a(-2, 4) and b(-4, 2). writ4e an equation in slope-intercept form for a line that bisects this segments that is parallel to the line y = -2x + 5.

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.

Which expression is equivalent to 64 - 9x^2?