Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Answer:
$2,700
Step-by-step explanation:
Let the width of the pasture be x, this means that the length of the pasture will be 2x
The area of a rectangle is L * B
Hence,
x * 2x = 18,000
2x^2 = 180,000
x^2 = 90000
x = 300 meters
This means the length is 600 metres
Now, to get the length of the fence, we need to know the actual perimeter which is 2(L + B)
= 2 ( 300 + 600)
2 * 900 = 1,800 metres
The cost is thus 1,800 * $1.50 = $2,700
Answer:
B. 5 rolls
Step-by-step explanation:
The areas of the room, not including the ceiling, are discriminated as follows:
Longer walls: 
(6 inches equals one foot)
Shorter walls: 
(6 inches equals one foot)
Window area: 
Door area: 
Area that will be effectively covered:
Total area to wallpaper: 
Amount of paper needed: 
That is, the area of a roll of paper is 
Number of rolls needed:
rolls
Step-by-step explanation:
Let h be the number of hours.
Total Cost = Fixed Costs + Variable Cost
= Initial Fee + Hourly Charge
= 75 + 9h
Given,
Since the car cannot be rent part of an hour, the highest possible whole number is 19 hours.
