In the coordinate plane, quadrilateral ABCD has vertices with coordinates A(1,−1), B(−5,3), C(−3,6), and D(3,2).

Part A:
Compute the lengths of the sides of quadrilateral ABCD.
AB=

BC=

CD=

DA=


Part B:
Compute the slopes of the sides AB¯¯¯¯¯ and AD¯¯¯¯¯.

Slope of AB¯¯¯¯¯ =

Slope of AD¯¯¯¯¯ =

How many real-number solutions does the equation have? -4x^2 + 10x + 6 = 0 a. no solutions b. two solutions c. infinitely many solutions d. one solution

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.

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.