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)
[(8 - 2 * 29)]/3
Let's solve inside the brackets first.
According to PEMDAS, multiplication gets solved before subtraction so multiply 2 * 29 in the parentheses.
[(8 - 58)]/3
Subtract 58 from 8 in the parentheses.
(-50)/3
Divide -50 by 3.
-16.667 or -16 2/3 is your answer.
Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
and= 72x^4y^8
Answer:
b
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
Remember, slope is rise/run
Start from a point on the line and count up and over until you reach another point on the line.
For example, start from (0,-2), count up and left until you get to (-2,0). This gets you 2/2, which reduces to 1.
Since the line represents a negative slope, the slope is -1.
