(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16
Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
2(2a-3b=-6)
3(3a+2b=17)
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13a=39 ⇒a=39/13=3
3(2a-3b=-6)
-2(3a+2b=17)
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-13b=-52 ⇒ b=52/13=4
Answer: a=3; b=4
The answer is 4 and 5.
They are 2 positive numbers that satisfy the equation, (5)(4)=20.
If that doesn’t work try 2 and 10.
Hope this works!! :)
Answer:
B
Step-by-step explanation:
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Domain of 3ˣ = ( -∞, ∞ )
<em>Note : Domain of an exponential function is always ( -∞, ∞ )</em>
Assuming that the base of the prism is a regular pentagon, the area of a regular polygon is given by the formula A = 0.5pa; where p is the perimeter and a is the apothem. An apothem is a line that connects the center of the polygon to the midpoint of a side and is also perpendicular to the said side. For this example, the assumed apothem here is k.
Area of base = 2 (0.5 x 20" x k) = 20k
The sides of the prism are rectangles, with width 6" and length (20"/5) = 4".
Area of sides of prism = 5 (6" x 4") = 120
Total Area T.A. = 120 + 20k
