complex numbers quiz answers
/Matrix [1 0 0 1 0 0] 1.547 0.633 l endstream /Meta559 Do 45.663 0 0 45.147 314.675 152.82 cm endstream 45.249 0 0 45.527 329.731 578.912 cm >> 0000249323 00000 n 0 0 l /BBox [0 0 1.547 0.33] q Q /F1 0.217 Tf /Subtype /Form 0 G /Font << -0.002 Tc Q /Resources << 0.458 0 0 RG Q Q q /FormType 1 Q Q 0000090737 00000 n 0 G 0.531 0 l Q 242 0 obj << Q Q /Meta4 12 0 R 0 0.283 m ET stream 0 g S 0.458 0 0 RG BT 45.249 0 0 45.131 441.9 216.057 cm 1000 0 obj << 11.988 0.283 l q /Font << /Meta442 457 0 R q stream 0 g /Meta12 22 0 R q 0 -0.003 l 417 0 obj << stream q /Length 65 -0.008 Tc /Resources << q /Font << /F1 6 0 R >> stream endstream q /Resources << BT 0 g q 0.015 w /FormType 1 Q 883 0 obj << 0.2 0.2 m 0.458 0 0 RG /Length 55 /BBox [0 0 1.547 0.33] /Meta1038 Do 973 0 obj << stream /Subtype /Form 0 G 0.267 0 l q q The notion of complex numbers increased the solutions to a lot of problems. /F3 0.217 Tf /Length 66 Q /F1 0.217 Tf endobj endobj Q q 1 g 0 0 l >> endstream /Subtype /Form Q 0 G [( 3)] TJ 0 g 0000357105 00000 n Q 983 0 obj << [( bi.)] -0.005 Tw 771 0 obj << 0.314 0.438 TD q W* n q BT endobj /F1 0.217 Tf q 1101 0 obj << 0.149 0.158 TD >> Q endobj >> >> q stream q 0 G endstream /Meta258 269 0 R Q q /Length 67 Q /Meta1077 Do /Meta265 276 0 R /Type /XObject q q /F1 6 0 R 0 g /BBox [0 0 0.263 0.283] 0000258933 00000 n endobj 45.249 0 0 45.147 217.562 720.441 cm 0.267 0.283 l /Meta854 Do 0.2 0.437 TD >> /Length 55 endstream 0 g 0000133852 00000 n /Type /XObject 475 0 obj << 0 w stream /Font << >> >> 0.458 0 0 RG [( 4)] TJ q 0 G 45.527 0 0 45.147 523.957 181.427 cm endstream [(C\))] TJ 0.458 0 0 RG q /BBox [0 0 1.547 0.283] 0.547 0.087 TD /Length 55 0 0.33 m Q /MediaBox [0 0 614.294 794.969] 0.417 0 l Q BT Q /Matrix [1 0 0 1 0 0] /Matrix [1 0 0 1 0 0] 0 g /Resources << >> 0.267 0 l /Length 67 950 0 obj << 0 g /Subtype /Form q 680 0 obj << /Font << 0 0.087 TD W* n q q 1095 0 obj << Q /Meta384 Do 45.249 0 0 45.413 105.393 423.833 cm 0 g W* n ET W* n Q Q 0 g 45.663 0 0 45.147 314.675 679.036 cm /BBox [0 0 1.547 0.633] q q Q /Meta1044 Do /Meta1023 Do Q endstream >> /Length 68 0000092412 00000 n /FormType 1 0.098 0.165 l Q >> 0 0.087 TD q >> W* n W* n 0 w /Matrix [1 0 0 1 0 0] endobj /F1 6 0 R /Matrix [1 0 0 1 0 0] Q /Matrix [1 0 0 1 0 0] /BBox [0 0 1.547 0.283] /Meta230 Do /Length 55 >> 0 g >> >> >> 45.214 0 0 45.527 81.303 460.721 cm endstream /Type /XObject 0 g >> 9.523 0.33 l /Meta113 124 0 R /Type /XObject 0.564 G stream Q /BBox [0 0 1.547 0.633] 45.663 0 0 45.147 314.675 325.214 cm /Meta544 Do /Meta1006 Do Q 0 G [(B\))] TJ /Resources << q /F1 0.217 Tf Q >> endstream /Matrix [1 0 0 1 0 0] /Meta994 Do 1 g stream /Matrix [1 0 0 1 0 0] q /BBox [0 0 1.547 0.33] Q >> 0000166208 00000 n /Length 68 9.791 0.283 l ET 0 G 0 w Q ET /Meta868 883 0 R /FormType 1 /Meta722 737 0 R /BBox [0 0 1.547 0.283] 1 J >> >> 0 -0.003 l /Meta149 Do Q stream /Length 302 q endobj 0 g [(-)] TJ /Type /XObject endobj q Q /Matrix [1 0 0 1 0 0] endstream /F1 0.217 Tf Q 0.047 0.087 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[0 0 1.547 0.33] Q /Meta482 Do 0 G Q /FormType 1 45.214 0 0 45.147 81.303 506.642 cm 0 0.283 m /Subtype /Form /BBox [0 0 1.547 0.283] /F1 6 0 R q Q /BBox [0 0 9.523 0.283] /Font << /FormType 1 q 0 g endobj /Type /XObject /BBox [0 0 1.547 0.283] Q 1 j Q /Matrix [1 0 0 1 0 0] /Meta68 Do 0.031 0.087 TD 0 w /BBox [0 0 0.263 0.283] Q /BBox [0 0 1.547 0.283] /Length 68 /I0 Do 0.149 0.437 TD q q Q >> q /Length 62 Q stream 0 g 0000339410 00000 n Q /Type /XObject /F1 6 0 R /Resources << 0000354457 00000 n /Meta675 Do [(i)] TJ 45.249 0 0 45.147 441.9 107.652 cm /F3 21 0 R q 0 g endstream /FormType 1 0.564 G /Meta272 Do [(C\))] TJ /Length 67 /FormType 1 0 0 l Q 0 w /BBox [0 0 0.263 0.283] Q q 45.214 0 0 45.147 81.303 637.632 cm 45.249 0 0 45.147 217.562 720.441 cm /Meta852 Do /Font << /F1 6 0 R 1 J Q BT q >> q 0.564 G /Meta562 577 0 R q endobj >> 1 g 0.267 0 l 0000217092 00000 n q 0.047 0.087 TD /Matrix [1 0 0 1 0 0] endstream /Matrix [1 0 0 1 0 0] /Meta785 Do 0.248 0.366 l /F1 6 0 R >> 0 0 l BT 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730.98 cm 0.846 0.087 TD /F1 0.217 Tf 45.214 0 0 45.413 81.303 483.305 cm 0.562 0.087 TD /Font << endobj 11.988 0 l Q /Meta282 293 0 R q /Font << >> /Length 102 Q q /Subtype /Form stream /FormType 1 stream stream q /Type /XObject Q 45.214 0 0 45.147 81.303 691.834 cm /Meta580 595 0 R /BBox [0 0 0.263 0.283] /Type /XObject 0000138469 00000 n q 0 G >> 0.458 0 0 RG /Subtype /Form 0.458 0 0 RG endobj 0 G >> Q /FormType 1 endstream /Meta602 617 0 R 0 G ET 0.114 0.087 TD /BBox [0 0 1.547 0.633] /Resources << 0 0.283 m /F1 0.217 Tf ET BT Q ET /BBox [0 0 1.547 0.283] 0 g >> /Resources << 374 0 obj << /Meta212 Do -0.007 Tc 358 0 obj << /BBox [0 0 1.547 0.633] Q q Q /Matrix [1 0 0 1 0 0] /F1 0.217 Tf 45.249 0 0 45.147 329.731 107.652 cm /F3 0.217 Tf Q /Matrix [1 0 0 1 0 0] stream /F1 0.217 Tf Q /F1 6 0 R /Type /XObject q q 0000208617 00000 n /Subtype /Form /F1 6 0 R /Meta954 Do endstream 45.249 0 0 45.527 329.731 578.912 cm /Type /XObject >> stream /Meta173 Do Q -0.002 Tc endobj /Length 51 45.249 0 0 45.527 441.9 513.418 cm [(i\)\()] TJ endstream endobj [(-)] TJ Q 0 0 l /Meta97 Do Q /Type /XObject 0.564 G endobj Q /F1 0.217 Tf >> >> >> 0 g /Meta987 Do /Subtype /Form 0000224548 00000 n 787 0 obj << /Font << /Subtype /Form 0.267 0 l 1.547 0 l 0 g BT 0.696 0.087 TD [(17)] TJ 9+40i 11. /BBox [0 0 1.547 0.283] [(+)] TJ q /Length 102 /Type /XObject /Type /XObject q /Subtype /Form Q >> q /FormType 1 45.214 0 0 45.147 81.303 593.969 cm 0000340616 00000 n Q 1 g 0.458 0 0 RG /Resources << 0000150338 00000 n 321 0 obj << /Type /XObject /Type /XObject q 0.216 0.087 TD q /BBox [0 0 1.547 0.283] 45.324 0 0 45.147 54.202 573.643 cm >> /Type /XObject 45.663 0 0 45.147 314.675 491.586 cm /Meta1047 Do /Matrix [1 0 0 1 0 0] /Type /XObject 828 0 obj << 914 0 obj << 0000073279 00000 n Q endobj q 0 G stream Q /F1 0.217 Tf q /Font << /Resources << q q 0 0 l /Meta50 Do Q 217 0 obj << /F1 6 0 R >> /FormType 1 Q 9.791 0 0 0.283 0 0 cm /Meta538 Do >> q /Matrix [1 0 0 1 0 0] 0.267 0 l /Resources << /FormType 1 endobj q 0.433 0.437 TD q /Matrix [1 0 0 1 0 0] Q 0.015 w /Meta497 Do 1 g Q /F3 21 0 R 0000260997 00000 n W* n /Meta932 Do 45.663 0 0 45.147 426.844 149.056 cm /BBox [0 0 1.547 0.633] /Length 8 ET 0 w endobj 0.458 0 0 RG /Length 613 stream 0 0.283 m endstream q >> 0 0.283 m /F1 6 0 R 1.547 0 l >> /F1 6 0 R 403 0 obj << 9.791 0 l stream >> [(i\))] TJ q 0.015 w 45.249 0 0 45.147 329.731 368.125 cm /Resources << 0.267 0 l q /Resources << >> q 0 G /Font << Q q endstream W* n q 1128 0 obj << 45.249 0 0 45.147 441.9 674.519 cm 0.267 0 l 0.515 0.087 TD /BBox [0 0 1.547 0.633] BT Q q 45.324 0 0 45.147 54.202 400.496 cm 0000132447 00000 n 0 G W* n Q 0000166440 00000 n /Resources << Q Q /Resources << 0 G /Length 55 1046 0 obj << Q Q /FormType 1 Q /Length 57 Q q stream endstream /Meta323 336 0 R q /F3 21 0 R stream 1020 0 obj << Q endstream /FormType 1 1 g [(2)19(0\))] TJ endobj 0.417 0 l 0.564 G /Meta47 Do endobj >> /F1 6 0 R 1.547 0 l 0 g Q /F1 0.217 Tf stream /Meta865 880 0 R [(-)] TJ endstream /F1 0.217 Tf /Matrix [1 0 0 1 0 0] /Font << Q 1.547 -0.003 l Q Q BT q q 0.216 0.473 TD 45.663 0 0 45.147 202.506 622.575 cm /Matrix [1 0 0 1 0 0] BT BT 0 g >> stream q /Meta396 Do /Meta236 247 0 R q /Resources << /Resources << q q /Matrix [1 0 0 1 0 0] q /BBox [0 0 1.547 0.633] /Matrix [1 0 0 1 0 0] BT /Meta837 Do 0 0 l W* n /F1 6 0 R 0 G 0.149 0.433 l /Length 102 /FormType 1 0 -0.003 l /F1 6 0 R >> /Font << 0.114 0.087 TD /Meta379 392 0 R 0 0.283 m /FormType 1 /Meta84 95 0 R /Meta517 Do endstream q W* n 0.334 0.366 l Q 9.791 0 l /Length 94 0000198461 00000 n /Font << /Subtype /Form 0 g 0000023344 00000 n /F1 6 0 R 1.547 0.283 l 0 0.283 m >> /Subtype /Form 0.334 0.087 TD q 0000242937 00000 n 0.564 G /Font << /BBox [0 0 1.547 0.33] /FormType 1 /Matrix [1 0 0 1 0 0] /Type /XObject /FormType 1 /Meta901 916 0 R 578.159 637.632 l [( 7)] TJ 1 g /FormType 1 BT 0000039149 00000 n stream 1122 0 obj << /Subtype /Form 0.031 0.087 TD stream Q Q /Subtype /Form q /F3 21 0 R BT /BBox [0 0 0.263 0.283] q /Subtype /Form >> /Matrix [1 0 0 1 0 0] 0.5 0.308 TD 1 j q q 0 G 0000256567 00000 n 0000075796 00000 n 0 g [(4)] TJ q /I0 36 0 R stream 0 0.633 m q /Meta352 Do q /Meta1004 Do /Resources << /Meta356 369 0 R [(i\))] TJ q /Type /XObject /FormType 1 Q 1.547 -0.003 l 1 J endobj endobj >> endstream /Length 64 BT 701 0 obj << /F3 21 0 R ET 0000276483 00000 n W* n 0000270068 00000 n [(+)] TJ 45.213 0 0 45.147 36.134 650.429 cm q Q /BBox [0 0 1.547 0.283] ET Q 0 g /Resources << Q 0.267 0.5 l >> q 0.031 0.437 TD /Subtype /Form Q 0 w Q 236 0 obj << /Type /XObject 0.948 0.087 TD /Matrix [1 0 0 1 0 0] /F1 6 0 R >> -0.002 Tc /Meta1089 1106 0 R /Font << /Font << Q 0 g /FormType 1 >> 0000252380 00000 n q /Meta308 Do stream q /FormType 1 >> /Length 57 /Matrix [1 0 0 1 0 0] ET /Meta946 961 0 R 0 0 l Q Q Q /Length 212 endstream Q 0000038672 00000 n 0 G 0 G 578.159 506.642 l q /Length 94 /Subtype /Form 524 0 obj << /Meta898 Do Q BT Q /FormType 1 /Matrix [1 0 0 1 0 0] /Length 8 /Length 66 /Resources << 401 0 obj << endstream Q 45.249 0 0 45.527 105.393 622.575 cm /F1 6 0 R q 0 g Q >> endstream 0 0 l /Length 68 >> BT stream W* n /FormType 1 stream /Meta901 Do [(32)] TJ /FormType 1 0.564 G 0 G 348 0 obj << 0 w q >> >> /Meta917 932 0 R /Meta79 Do 257 0 obj << /Matrix [1 0 0 1 0 0] q /Subtype /Form /F3 0.217 Tf /Subtype /Form Q /Matrix [1 0 0 1 0 0] [(i)] TJ /Resources << /Type /XObject /Subtype /Form /Matrix [1 0 0 1 0 0] q /Matrix [1 0 0 1 0 0] 45.214 0 0 45.131 81.303 244.664 cm 1012 0 obj << 0 0 l 0.267 0 l /FormType 1 0.564 G /FormType 1 Q Q 0000172329 00000 n stream /F1 6 0 R ET /Resources << -0.002 Tc Q 45.249 0 0 45.131 441.9 289.079 cm 0000039869 00000 n Q >> ET BT /F2 9 0 R /Meta445 Do endstream /BBox [0 0 0.531 0.283] 0 G W* n Q q 0 G /Length 66 0 g Q stream >> The standard form is to write the real number then the imaginary number. [(+)] TJ /Meta229 Do 0.015 w /Meta508 Do 1 g q /Matrix [1 0 0 1 0 0] q q 0.015 w q 0000054818 00000 n /Meta590 605 0 R 0.564 G /BBox [0 0 1.547 0.633] /FormType 1 /Font << >> 0.564 G endstream 0.066 0.087 TD >> q Q 0 0 l endobj q 0 g /FormType 1 Q Q q 0.458 0 0 RG stream 812 0 obj << Q q 0.015 w Q >> /F1 6 0 R /Length 8 Q q ET 0 w /Length 102 q 0.267 0.283 l 0 g >> q /Length 51 /Meta710 Do stream 45.214 0 0 45.147 81.303 550.305 cm endobj 1 g endstream 45.663 0 0 45.147 202.506 107.652 cm endstream 0.417 0.283 l 854 0 obj << /BBox [0 0 1.547 0.33] stream 947 0 obj << /F1 6 0 R >> 0 g Q >> Q >> Q 500 0 obj << Q 0 0.366 m 1.547 0.283 l q stream /Length 102 Q /Meta496 Do /Matrix [1 0 0 1 0 0] 1108 0 obj << 951 0 obj << endobj q /Type /XObject 0 0 l /Resources << 0 0 l /Length 72 BT /Type /XObject Q /Font << q /Meta340 353 0 R 0000218404 00000 n 0.564 G stream /Type /XObject /Meta117 Do 0.564 G /Subtype /Form /Type /XObject /F1 0.217 Tf 0.267 0 l q 0 0 l endstream /Resources << 583 0 obj << stream /F1 0.217 Tf /F1 0.217 Tf Q /Meta1000 Do 0 0 l Q 0000267686 00000 n /Meta927 Do [(9)] TJ /F3 0.217 Tf >> /FormType 1 stream q 0 0.087 TD endstream /Font << >> /F1 0.217 Tf endobj /Font << /Meta845 860 0 R >> 0 0 l Q /FormType 1 Q /Font << /FormType 1 W* n /Resources << W* n endstream q 273 0 obj << /BBox [0 0 9.523 0.283] 0 G Q /Matrix [1 0 0 1 0 0] /F1 0.217 Tf Q Q Q 0 g /Matrix [1 0 0 1 0 0] Q /Matrix [1 0 0 1 0 0] ET 0000244579 00000 n /Resources << 347 0 obj << endobj /F1 6 0 R 0.381 0.087 TD >> 0000078210 00000 n >> /Length 51 /Font << /Length 55 399 0 obj << q 0 G /Meta478 Do /Resources << 755 0 obj << 0.267 0 l q /Font << /Meta25 Do Complex numbers are composed of two parts, an imaginary number (i) and a real number. 0 w 45.249 0 0 45.131 329.731 143.034 cm 0000245896 00000 n Q Q /BBox [0 0 0.263 0.283] Q /Subtype /Form 0 w 0 0.283 m q /Resources << Q >> [(+)] TJ Q /F1 6 0 R /Meta5 Do 0 g 946 0 obj << /Meta1022 Do endobj /F1 0.217 Tf /Meta1090 1107 0 R 1.547 0 l 45.214 0 0 45.413 81.303 380.923 cm /Type /XObject q /Subtype /Form /FormType 1 Q 0 0 l 45.249 0 0 45.147 329.731 447.923 cm 0000036989 00000 n >> 45.233 0 0 45.147 329.731 616.553 cm /Resources << /Matrix [1 0 0 1 0 0] BT 0 g q 0.267 0.283 l Q Q /Type /XObject 0 0 l >> stream /Subtype /Form /Type /XObject Q [( 12)] TJ >> 0000227897 00000 n endobj /F3 21 0 R >> 1.547 -0.003 l 0 g 0 G q 730 0 obj << q 775 0 obj << q Q endobj q 0 0 l /Length 67 /Subtype /Form Q /BBox [0 0 0.531 0.283] 0.564 G endstream ET 0.397 0.087 TD stream 0 0 l Q Q q /Subtype /Form /Subtype /Form W* n /Meta984 999 0 R /Font << 0000283530 00000 n
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