Apoint k with coordinates (−1, 6) is translated along the vector 〈2, 3〉 and then reflected in the y-axis. what are the coordinates of k"?
k"(1, 9)
k"(1, -9)
k"(-1, 9)
k''(-1,-9)

C

Step-by-step explanation:

Under a translation < 2, 3 >

K(- 1, 6 ) → K'(- 1 + 2, 6 + 3 ) → K'(1, 9)

Under a reflection in the y- axis

a point (x, y) → (- x, y), thus

K'(1, 9 ) → K''(- 1, 9) → C

10000

step-by-step explanation: divide by 2,

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x