Choose all that correctly define the point on the directed line segment between the two given points that partitions the segment in the given ratio

Line segment AB has endpoints A(5, 4) and B(2,7). The coordinates (4,5) divides the line segment directed

from A to B in the ratio of 1:2

Line segment AB has endpoints A(6,5) and B(3,8). The coordinates (5,6) divides the line segment directed

from A to B in the ratio of 1:2.

Line segment AB has endpoints A(5,7) and B(8,4). The coordinates (6,5) divides the line segment directed

from A to B in the ratio of 1:2.

Line segment AB has endpoints A(7, 2) and B(4,8). The coordinates (5, 4) divides the line segment directed

from A to B in the ratio of 1:2.

Use the radius you found in part i (r=26.8 cm) with the surface area formula below to find the surface area of the sphere. show your work and round your answer to the nearest tenth. the surface area of a sphere: sa = 4πr^2 self note: 3.8.4

The trigonometric ratios sine and secant are reciprocals of each other

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.