Since, you have not included the system, I will help you with an explanation that will teach you how to work this kind of problems, for a given system of linear equations.
For a system of two linear equations there are three possibilities:
i) No solution
ii) Infinite solutions
iii) One solution.
1) No solution:
This happens when the two linear equations represent parallel lines.
For example:
x + y = 12 and x + y = 14.
If you subtract one equation from the other you get:
x + y - x - y = 14 - 12
0 = 2, which is absurd, meaning there is not solution. This is true whenever the two equations represent parallel lines.
That is, there is not intersection point in the graph.
2) Infinite solutions:
This situation arises when the two equations result being the same.
For example:
3x + 8y = 24 and - 16y - 6x = - 48
To solve that system, you can multiply the first equation by 2:
6x + 16y = 48
Now you can add this new equation with the second original equation:
6x - 16y = 48
-6x + 16y = - 48----------------------
0 + 0 = 0, which is alwasy true, meaning that there are infinite solutions.
The two lines overlap entirely because they are the same line.
3) One solution.
The third case, is the general case when two functions can intersect and then the intersection is the solution of the system.
For example: x + y = 12 and 2x + y = 14
The solution is:
i) multiply the first equation by 2:
2x + 2y = 24
ii) Subtract the second equation:
2x + 2y = 242x + y = 14------------------
y = 10
⇒ 2x = 14 - y = 14 - 10 = 4
⇒ x = 4/ 2 = 2
Then, the solution of this system is (2, 10), and that is the intersection point in the graph.
Note that perimeter of rectangle
So we have to solve for width or w.
Width of a rectangle is 5 units.
Hope this helps.
r3t40
Answer:
Two opposite angles of a parallelogram are always <u>equal</u><u>.</u>
Answer: the movie was 1 hour and 35 minutes and Amar got home at 6:15 P.M.
Step-by-step explanation:
to find out how long the movie was you have to find the distance between the time frames 3:55 and 5:30.
3:55+1 hour= 4:55
4:55+5 minutes= 5:00
5:00+30 minutes= 5:30
Add the times to find how long the movie was.
This is how I found how long the movie was.
To find out when Amar got home you have to do the same thing as well.
5:30+30 minutes= 6:00
6:00+15 minutes= 6:15
Hope this helps!
The height of the pole is the vertical leg of the right triangle. The angle of depression is an exterior angle to the triangle at its upper angle. The angle of depression is complementary to the interior angle, so the measure of the interior angle is 15. The base angles are 90 and 75. Use the tangent ratio now, using the base angle of 75 and the height of the pole being 50: tan75=50/x.
Make sure your calculator is in degree mode to do this and get that x = 13.4