Answer:
The maximum point of this function is (5,4).
Step-by-step explanation:
The maximum of a function is the maximum value that it can take.
Seeing the graph we can say that the maximum value of y occurs at x = 4. Here y = 5 corresponds to this value of x.
Therefore, the maximum point of this function is (5,4).
I hope it helps you!
-3x + 5y = -9
4x + 8y = 12
Simplify the second,
x + 2y = 3
Times three,
3x + 6y = 9
Add to the first equation,
11y = 0
y = 0
-3x + 5(0) = -9
x = 3
Answer: x=3, y=0
-3x - y = -17
4x + 2y = 20
multiply one part of the equation so that we can be able to use the process of elimination.
(-3x - y = -17)2
4x + 2y = 20
Now we have:
-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14
Divide -2 on both sides.
-2x = -14
/-2 /-2
x = -7.
=============================================
To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20
4x + 2y = 20
4(-7) + 2y = 20
-28 + 2y = 20
Add 28 on both sides
-28 + 2y = 20
+28 +28
---------------------
2y = 48
/2 /2
y = 24.
The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.
You may have to do this by yourself :P
Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!
Answer:
541.7 (m2)
Step-by-step explanation:
Applying the sine theorem:
WV/sin(X) = XV/sin(W)
=> WV = XV*sin(X)/sin(W) = 37*sin(50)/sin(63) = 31.81
Angle V = 180 - X - W = 180 - 50 - 63 = 67
Denote WH is a height of the triangle VWX, H lies on XV
=> WH = WV*sin(V) = 31.81*sin(67) = 29.28
=> Area of triangle VWX is calculated by:
S = side*height/2 = XV*WH/2 = 37*29.28/2 = 541.7 (m2)
