For a better understanding of the solution provided here please go through the diagram in the file that has been attached.
As can be clearly seen from the question and the graph, the area is bounded by a straight line which passes through the origin, the y axis and the horizontal line .
As we can see from the graph, this is a right triangle. To find the point of intersection of the horizontal line y=6 and the line , we will have to equate the two as:
Therefore,
Thus,
Hence the point of intersection is (12,6) which is depicted on the graph too.
As this is a case of a simple right triangle, the area of the bounded region will thus be:
Let the base be the y=6 line whose length is 12 and let height be the y axis whose length is 6, thus, the area will be:
squared units.
Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.
-5x + y = 13 ⇒ y = 5x + 13
Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :
-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3
Simplify and solve for x :
-3x + 15x + 39 = 3
12x = -36
x = -3
Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give
-3 (-3) + 3y = 3
9 + 3y = 3
3y = -6
y = -2
So the solution to the system of equations is (x, y) = (-3, -2).
Answer:
D) is the answer
Step-by-step explanation:
It is taught in 5th class in India
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Because I am Indian and solving your question from India.
Answer:
A = 0 or -3
Step-by-step explanation:
You can confirm that by plugging in the numbers yourself :)
The grade of a road is the slope of a road. In the U.S., grade is often expressed as a percent by finding the product 100(slope). Approximate the grade of a road that has a rise of 950 ft over 3 mi is :
A. 3%