Answer:
2x + x +90= 180 We will add 2x + x=3x We get 3x + 90 =180 Now we subtract 3x = 180–90 ... x=30, for confirmation put value of x =30in equation and verify. LHS=RHS. Thats it. 68 views.
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.
Answer:
$25
Step-by-step explanation:
.05x500=25
hope this helps
Answer:
150.72 mm^3
Step-by-step explanation:
volume = (pi)(r^2)h
volume = 3.14 * (4 mm)^2 * 3 mm
volume = 3.14 * 16 mm^2 * 3 mm
volume = 150.72 mm^3
<em>x = 9</em>
<em>y = 0</em>
- Step-by-step explanation:
<em>y = -2x + 18 </em>
<em>4y - x + 9 = 0</em>
<em />
<em>4(-2x + 18) - x + 9 = 0</em>
<em>- 8x + 72 - x + 9 = 0</em>
<em>- 9x + 81 = 0</em>
<em>81 = 9x</em>
<em>x = 81 : 9</em>
<em>x = 9</em>
<em />
<em>y = - 2×9 + 18</em>
<em>y = - 18 + 18</em>
<em>y = 0</em>