The corresponding sides are
LN to XZ
LM to XY
NM to ZY
We have NM=3 and ZY=9
The scale factor is 9÷3=3
XZ = 2×3 = 6 units
LM = 12÷3 = 4 units
The correct answer is <span>LM is 4 units and XZ is 6 units</span>
<span>The curve equation y3 + 3yx - x3 = 9</span>
Differentiate implicitly with respect to x.
<span>3y2(dy/dx) + 3[y + x(dy/dx)] - 3x2 = 0</span>
<span>3y2(dy/dx) + 3y + 3x(dy/dx)] = 3x2</span>
<span>(dy/dx)(3y2 + 3x) = 3x2 - 3y</span>
<span>dy/dx = 3(x2- y)/3(y2 + x)</span>
<span>dy/dx = (x2- y)/(y2 + x)</span>
Step-by-step explanation:
First, let's rewrite the equations.
1/2x + 1/3y =6
x - y = 2
The easiest system to use for substitution is the second one. Let's solve for X.
x - y = 2
add y to both sides!
x = 2 + y
Now that we know x = 2 + y we can use it to substitute in the first equation.
1/2(2 + y) +1/3y = 6
1 + 1/2y +1/3y = 6
5/6y = 5
y = 36/5
Answer:
7, -3 they intercept at the exact lines