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: Area = 1500 feet^2
Step-by-step explanation:
Jim is enclosing a rectangular garden with 170 feet of fencing. This means the perimeter of the rectangular garden =170 feet
Let length = x
Let width = w
The length of the garden,x is 10 feet more than twice it's width, w. This means
x =10+2w---------1
Perimeter = 2x+2w =170---------2
Putting equation 1 in equation 2,
2(10+2w) +2w= 170
20 + 4w +2w = 170
6w = 170-20=150
w = 150/6
= 25feet
Put w=25 in equation 1
x =10 +2×25= 10+50=60 feet
Area = length × width = x×w
= 60×25=1500feet^2
Answer:
77.6m (3 s.f.)
Step-by-step explanation:
Please see the attached pictures for full solution.