Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y−4 = −2(x+3).

Step-by-step explanation:

first simplify,

-2(x+3) = -2x - 6

isolate y

y = -2x - 6 +4

simplify furthermore

y = -2x -2

plug in values (2, 3)

3 = -2(2) - 2

3 = -4x - 2

6= 4x

x = 3/2

since it is perpendicular, get the negative reciprocal

y = -2/3x + b

solve for b

3 = -2/3(2) + b

3 = -4/3 +13/3

y = -2/3x + 13/3

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