1) Calcule a distância entre os pontos A(2, 1) e B(4, -1) . *1 ponto A) 2√2 B) √2 C) √15 D) 10 E) n. D.A F) Outro: 2) Sejam os pontos A(x, 2) e B(0, 1). Determine o valor de x no ponto A, sabendo que a distância entre A e B é 5. * 1 ponto A) √26 B) 2√6 C) 5 D) 4 E) n. D.A 3) Calcule a distância aproximada entre os pontos A e B, sabendo que suas coordenadas são A (2,5) e B (– 5, – 2). * 1 ponto A) 200 B) 150 C) 100 D) 80 E) 70

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?

Point b lies between points a and c on . let x represent the length of segment ab in inches. use the segment to complete the statements. the value of x is . the length of in inches is . the length of in inches is .