Compute the differential for both sides:
4<em>y</em> - 3<em>xy</em> + 8<em>x</em> = 0
→ 4 d<em>y</em> - 3 (<em>y</em> d<em>x</em> + <em>x</em> d<em>y</em>) + 8 d<em>x</em> = 0
Solve for d<em>y</em> :
4 d<em>y</em> - 3<em>y</em> d<em>x</em> - 3<em>x</em> d<em>y</em> + 8 d<em>x</em> = 0
(4 - 3<em>x</em>) d<em>y</em> + (8 - 3<em>y</em>) d<em>x</em> = 0
When <em>x</em> = 0, we have
4<em>y</em> - 3•0<em>y</em> + 8•0 = 0 → 4<em>y</em> = 0 → <em>y</em> = 0
and with d<em>x</em> = 0.05, we get
(4 - 3•0) d<em>y</em> + (8 - 3•0) • 0.05 = 0
→ 4 d<em>y</em> + 0.4 = 0
→ 4 d<em>y</em> = -0.4
→ d<em>y</em> = -0.1
Answer:
Not possible.
Step-by-step explanation:
Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.
Order of a matrix with 
rows and 
columns is 
.
Here, matrix A is ![\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-4%5C%5C-4%2610%5C%5C0%26-8%5Cend%7Barray%7D%5Cright%5D)
Matrix B is ![\left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-4%266%5C%5C2%26-10%264%5Cend%7Barray%7D%5Cright%5D)
.
Multiplying a matrix by a constant doesn't change its order.
So, order of matrix A is 
as it has 3 rows and 2 columns.
The order of matrix 3B is 
as it has 2 rows and 3 columns.
Therefore, addition is not possible as the order is different.
The circumcenter of a right triangle is located on the triangle (on the mid-point of the hypotenuse) because the hypotenuse is the diameter of the circumcircle.
Answer:
18.8 billion dollars
Step-by-step explanation:
S - 1.7x = 5.2
x = 2006 - 1998 = 8
S - 1.7(8) = 5.2
S - 13.6 = 5.2
S = 5.2 + 13.6
S = 18.8
We know that
area of a circle=pi*r²
for r=2 km
area of a circle=pi*2²-----> 12.56 km²
if 360° (full circle) has an area of---------> 12.56 km²
45°---------------------------------> x
x=45*12.56/360-----> x=1.57 km²
the answer is
1.57 km²
