Answer: x=39
Step-by-step explanation:
You would subtract 107 and 68 to get your answer. Therefore, your answer would be 39.
The real part of given complex number -3 + 9i is -3
<em><u>Solution:</u></em>
We have to find the real part of complex number -3 + 9i
A Complex Number is a combination of real Number and an imaginary Number
<em><u>The general form of complex number is:</u></em>
a + bi
Where "a" and "b" are real numbers and i is the unit imaginary number
The given complex number is:
-3 + 9i
On comparing the above complex number with general form of complex number we get,
Real part = -3
Thus real part of given complex number is -3
i think it would be your first choice
Use following substitutions:
<span>r cosθ = x </span>
<span>r sinθ = u </span>
<span>r² = x² + y² </span>
<span>r = 8 cosθ + 4 sinθ </span>
<span>Multiply both sides by r </span>
<span>r² = 8 r cosθ + 4 r sinθ </span>
<span>x² + y² = 8x + 4y </span>
<span>This is equation of circle. We can put in standard form: </span>
<span>x² − 8x + y² − 4y = 0 </span>
<span>x² − 8x + 16 + y² − 4y + 4 = 16 + 4 </span>
<span>(x − 4)² + (y − 2)² = 20 </span>
<span>Circle centered at point (4, 2) with radius = √20</span><span />
The vertex form is y=a(x-h)²+k
the vertex is (h,k)
so
y=-1(x-2)²+3
compare to
y=a(x-h)²+k
2=h and 3=k
the vertex is (2,3)
4th option