y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
Answer: x=3
Step-by-step explanation:
We can solve for the equivalent expression of the given expression:
√(x+6) + √x = 8
First, we need to square both sides such as shown below:
((√x+6) + (√x) =8)²
(x+6) + x = 64
Perform transposition and combine similar terms
x + 6 + x =64
2x = 64 -6
x = 29
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
