Atriangle with coordinates (4,2), (0,-3), and (-5,3) is translated 5 units right and rotated 180 degrees about the origin. what are the coordinates of its image? a) (9,2), (-1,-2), (5,-7). b) (-10,3), (-1,2), (-5,-3). c) (2,-1), (-3,-5), (3,-10). d) ( -9,-2), (-5,3), (0,-3)

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Atown has a population of 7000 and grows at 3% every year. to the nearest year, how long will it be until the population will reach 12400?