Answer:
not sure if you're looking for an example of this or not but if you are then it could be something like 12 + 8 because 2/3 of 12 is 8.
Total impedance of circuit is Z1 + Z2
Here it is important that real numbers we sum with real numbers and complex numbers with complex numbers
Let Zs represent total impedance.
Zs = Z1 + Z2 = 3 + 4i + 5 - 2i = 3 + 5 + 4i - 2i = 8 + 2i
Answer is :
8+2i
Answer:
this should be 450° hahah sorry if I am wrong I don't know!
SOLUTION:
A box has a square base of side x and height y where x,y > 0.
Its volume is V = x^2y and its surface area is
S = 2x^2 + 4xy.
(a) If V = x^2y = 12, then y = 12=x^2 and S(x) = 2x^2 C 4x (12=x2) = 2x2 + 48x^-1. Solve S'(x) = 4x - 48x-2 = 0 to
obtain x = 12^1/3. Since S(x/) ---> infinite as x ---> 0+ and as x --->infinite, the minimum surface area is S(12^1/3) = 6 (12)^2/3 = 31.45,
when x = 12^1/3 and y = 12^1/3.
(b) If S = 2x2 + 4xy = 20, then y = 5^x-1 - 1/2 x and V (x) = x^2y = 5x - 1/2x^3. Note that x must lie on the closed interval [0, square root of 10]. Solve V' (x) = 5 - 3/2 x^2 for x>0 to obtain x = square root of 30 over 3 . Since V(0) = V (square root 10) = 0 and V(square root 30 over 3) = 10 square root 30 over 9 , the
maximum volume is V (square root 30 over 3) = 10/9 square root 30 = 6.086, when x = square root 30 over 3 and y = square root 30 over 3 .
Answer:
y = 3.75x+5
Step-by-step explanation:
*** some of your points might be wrong ***
1. Take two points on the line. Ex: (0, 5) and (4, 20)
2. Find the slope using the change in y divided by the change in x.
Ex: m=(20 - 5)/(4 - 0) = 15/4 -> m= 3.75
3. Look at the graph for the y-intercept (when x =0)
y -intercept -> b = 5
Check:
y = mx + b; m = 3.75 (4, 20) -> x= 4 and y =20
20 = 3.75(4) + b
20 = 15 + b
5 = b
4. plug in to slope-intercept form: y = mx +b
y = 3.75x+5
