It's actually (-9)... think of it as a hot air balloon, the positivies being balloons and the negatives being sandbags or weights.
You have 7 sandbags/weights and add 9 more sandbags/weights, causing u to go lower, therefore, *negative* 9
Hope that helped! :))
Tan(angle) = opposite leg / adjacent leg.
Tan(64) = x /30
x = 30 * tan(64)
x = 61.51
Answer:
a number to be divided by another number
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5