Answer:
y=x+3
Step-by-step explanation:
Okay, so a general rule for finding perpendicular lines in the form of y = mx + b is y = (-1/m) + b.
First, let's ignore b (-7) because we're going to find that later.
A perpendicular line to y = 4x + b is y = -1/4x + b.
Alright, so now let's plug in the values. They are in the form of (x,y), so let's plug them in accordingly.
3 = -1/4(4) + b
3 = -1 + b
b = 4
y = -1/4x + 4
So a line perpendicular to y = 4x - 7 is y = -1/4x + 4.
Answer: d = 29 miles
Step-by-step explanation:
S11°W = 259° on a unit circle
N75°E = 15° on a unit circle
x separation after two hours
x = 2(8cos15 - 18cos259) = 21.179 miles
y separation after two hours
x = 2(8sin15 - 18sin259) = 19.7398 miles
total distance between them is
d = √(19.7398² + 21.179²) = 28.9518... ≈ 29 miles
Answer:
#5 39 = x
Sides:
x - 15
2x
2x
Total of sides = 180
180 = (x-15) + 2x + 2x
180 = x - 15 + 4x
180 = -15 + 5x (add 15 to each side to remove -15)
195 = 5x (divide by 5 on each side to get x)
39 = x
#7 24 = x
Sides:
2x - 4
3x + 5
2x + 11
Total of sides = 180
180 = (2x - 4) + (3x + 5) + (2x + 11)
180 = 2x - 4 + 3x + 5 + 2x + 11
180 = 7x + 12 (subtract 12 to each side to remove 12)
168 = 7x (divide by 7 on each side to get x)
24 = x
#8 37 = x
Sides:
x
x + 4
3x - 9
Total of sides = 180
180 = (x) + (x + 4) + (3x - 9)
180 = x + x + 4 + 3x - 9
180 = 5x - 5 (add 5 to each side to remove -5)
185 = 5x (divide by 5 on each side to get x)
37 = x
Step-by-step explanation:
