What is the value of the modulus of 6 43'? Enter your answer as a simplified radical in the box. E p and q are complex numbers such that (p| = 2x + 2 , |q) = 2x + 1 , and \\p + q) = =x -2. On what interval must x fall on? O [3, 00) O (-00, - 13 o [-3 O [- 13 5How is multiplying 3 - 2i by 2 represented on the complex plane? Drag a term or measure into each box to correctly complete the statements. The complex number 3 - 2i lies in i of the complex plane. When any complex number is multiplied by the imaginary unit, the complex number undergoes a rotation in a counterclockwise direction. This means that the complex product of 3 - 2i and i lies in ! of the complex plane. quadrant I quadrant II quadrant III quadrant IV 45 90 180Divide. 4ti -2+3i Enter your answer, in standard form for complex numbers, in the box. 4ti -2+3iRepresent the sum of the complex numbers -4 + 3i and -2 - i on the complex plane. Use the Point and Segment tools to plot all required points and segments. Point Segment + Undo * Redo x Reset imaginary 7 2 1 real -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -1 -2 -3 -4How is the product of a complex number and a real number represented on the complex plane? Consider the product of -2 + 8i and 5. Drag a value or phrase into each box to correctly complete the statements. The complex number -2 + 8i has modulus of : When -2 + 8i is multiplied by 5, the modulus of the product is Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with are the same. 516 2V17 V6 10V6 a positive real number a negative real number 10V/17 2V6 the imaginary unit a complex number3) The complex number 3-21, lies in fourth quadrant of the complex plane . When any complex number in multiplied by the imaginary mil , the complex number undergoes w rotation in a conterclockwise direction - This means that the complex product of 3-zi and is lies in second quadrant of the complex prime . exp.- 2z means two times IT rotation in a contuclock- wise direction. 6) The complex number -2tsi. has model of V ( - 2 1 2 +82 2 1 68 2 2/ 17 When -2+8i in multiplied by 5 . the modulus of the product vis 5. 2517 = 101 17 Multiplying a complex number by a freal number genkilts inn a scalar of the complex number . The quadrant location of the complex number and its product with scalar are the same . exp; 2 = - 2+ 80, 1 21 2 2017 , 5-2=-10+401 : 1521 = 1(- 1012 + (40) 2 = 1 100 + 1600 = 101 17 = 5. 121