Since slope is calculated using the formula m = startfraction v 2 minus v 1 over x 2 minus x 1 endfraction, the slope of both lines is equivalent to it is given that the lines are parallel, and we calculated that the slopes are the same. therefore, parallel lines have the same slopes. startfraction v minus z over w minus x endfraction startfraction w minus x over v minus z endfraction startfraction v minus z + b over x minus z + a endfraction startfraction w minus x + a over v minus z + b endfraction

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4? 1 –1 i –i

Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 14 ft high? (round your answer to two decimal places.) ft/min