Given that tanθ = − 3
4
, where 3π
2
< θ < 2π, calculate the value of cos2θ

Matilda and kathryn went on different road trips over spring break.the equation below represents the number of miles matilda drove in x hours.y = 60xthe table below shows the number of miles kathryn drove in x hours.time(in hours)distance(in miles)114228342456who drove at a greater speed? a. matilda drove at a greater speed.b. matilda and kathryn drove at the same speed.c. kathryn drove at a greater speed.d.there is not enough information to determine their speeds

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.

How is the equation of this circle written in standard form? x2 + y2 - 6x + 14y = 142 a) (x - 3)2 + (y + 7)2 = 200 b) (x+ 3)2 + (y - 7)2 = 200 (x - 6)2 + (y + 14)2 = 142 d) (x+6)2 + (y- 14)2 = 142