The equation of the perpendicular line will be y = (4/3)x.
<h3>What is a linear equation?</h3>
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Then the equation of the perpendicular line will be given as
y = - (1 / m)x + c
The equation of line is y = -3/4 x + 1.
Then the equation of the perpendicular line will be
y = 4/3 x + c
The equation is passing through (9, 12), then we have
12 = 4/3 (9) + c
12 = 12 + c
c = 0
Then the equation of the perpendicular line will be y = (4/3)x.
More about the linear equation link is given below.
brainly.com/question/11897796
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The length of the pen is 8 meters and the width is 5 meters.
Explanation:
Since it is a rectangular goat pen the length and width can the the same number. So now just think of all the number that can be multiplied to get 40 and try them to see if they fit the perimeter too.
Say you get 8 and 5.
To check this you have to multiply the length times the width to see if it works for the area (which is 40 meters.
And 8 × 5 = 40, so these side lengths satisfy the area part... now to check if it works for the perimeter.
To find perimeter you add up all the sides. So if the length and width were to be 8 and 5 you would have to add up 8 + 8 + 5 + 5 To get the perimeter.
The total of 8 + 8 + 5 + 5 = 26 which satisfys the perimeter measurement.
So now you know the side lengths 8 (L) and 5 (W) work!
This is very simple, all you have to do is subtract m from both sides.
After that you have your answer
m = 1
I hope this helps
-ayden
Answer:
$56,000
Step-by-step explanation:
If x is the number of days that Refinery A is in operation, and y is the number of days that Refinery B is in operation, then:
200x + 100y ≥ 800
300x + 100y ≥ 900
200x + 200y ≥ 1000
The total cost is:
C = 12,000x + 10,000y
x and y must be integers. Possible combinations are:
x = 0, y = 9
x = 1, y = 6
x = 2, y = 4
x = 3, y = 2
x = 4, y = 1
x = 5, y = 0
The costs of these combinations are:
The minimum cost is $56,000.
Answer:
0.79
Step-by-step explanation:
Use calculator and it is 0.7880107...
Rounds to 0.79 for nearest hundredth