Hi there!
We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
D and E
the triangle is right as it has a right angle as one of the 3 angles
the triangle is isosceles as it has 2 equal sides , indicated by the score on the equal sides and 2 equal base angles of 45°
Answer:
9.286
Step-by-step explanation:
I'm not guaranteeing this answer. If this is correctly written without any indication of how to deal with x, then here is as much as you can do.
850-53x m= 720-39x m Subtract 720 from both sides.
850 - 720 - 53x = 720 - 720 - 39xm Combine
- 53xm + 130 = - 39xm Add 53x
-53x+53xm + 130 = -39x + 53xm Combine
130 = 14xm Divide by 14
xm = 130/14
xm = 9.28
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You can use the same steps above. I'm abbreviating the steps because they are the same.
I'm sure there is more to the problem, but I can't imagine what it is. If you have additional directions, put it under this answer. I will get it as a comment.
850-53m= 720-39m
850 - 720 - 53m = - 39m
130 - 53m = - 39m
130 = -39m + 53m
130 = 14m
130/14 = m
m =9.286
Answer:
It's located in the third quadrant
(X,Y)
Step-by-step explanation:
