Are lines y=-x-4 and 5x+5y=20 perpendicular?

Use the distance formula to determine the distance that point q is from r on the hypotenusebased on a 2-3 ratio. i need asap !

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²