Answer:

Step-by-step explanation:
Given
z = 1 + √3 i
Let 
Squaring both sides

Comparing real and imaginary part
Re(LHS)=Re(RHS)
...........................(1)
comparing Im(LHS)=Im(RHS)
√3=2pq

Substitute q in equation (1)


Let 



we take only Positive value because 
x=2.5

thus 

thus,

Answer:
12. h=3
13. h=-3
Step-by-step explanation:
12. Recall that
is a horizontal shift since h is being applied within the operation to the input. This means that h will slide the function left or right. Since the function f has a point at (1,-2) and g has the same point at (4,-2) then the function has moved 3 units 1+3=4 to the right. h=3.
13. Once again, h is a horizontal shift meaning the graphs has moved left or right only. Looking at g it has a point at (-2,2) while f has the same point at (1,2). So the graph f has moved to the left 3 units. This is h=-3 since 1+-3 = -2.
Answer:
24 in
Step-by-step explanation
Using pythagorean theorem, since OP is 20 inches and has a midpoint. RP= 10 and OR=10. The hypotenuse is given as 26 so do 26^2=10^2+a. 676= 100+a^2, subtract 100 from both sides. square root of 576 is 24
Answer:
The required value for the blank is 21.8696
Step-by-step explanation:
Consider the provided information,
4,275.50= 391/2 of ____
Replace blank with x.
4,275.50 = 391/2 of x
Use sign of multiplication for "of".

Solve the above expression for x.


Thus, the required value for the blank is 21.8696
Answer:
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