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_c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n Use the MagicGraph below to participate in the exercise and record your answers. Tap on \"),_c('i',{staticClass:\"shuffler ma-1\"}),_vm._v(\" button to move over to the next question.\\n Tap on \"),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" button to check your answer.\\n Tap on \"),_c('i',{staticClass:\"undoer ma-1\"}),_vm._v(\" button to start over from the begining.\\n \"),_c('br')])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_c('i',{staticClass:\"redoer ma-1\"}),_vm._v(\" — is the 'Next' button. Tap on this button to move over to the next question. \"),_c('br'),_c('i',{staticClass:\"tester ma-1\"}),_vm._v(\" — is the 'Check Your Answer' button. Tap on this button to check your answer.\"),_c('br'),_c('i',{staticClass:\"logor ma-1\"}),_vm._v(\"— is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem. \"),_c('br'),_c('i',{staticClass:\"undoer ma-1\"}),_vm._v(\" — is the 'Start Over' button. Tap on this button to start over the exercise from the begining.\\n \")])\n},function (){var _vm=this,_c=_vm._self._c;return _c('p',{staticClass:\"big mt-2\"},[_vm._v(\"\\n The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status. \"),_c('br'),_c('i',{staticClass:\"righter ma-1\"}),_vm._v(\" — the right checkmark indicates that your attempted response was correct. \"),_c('br'),_c('i',{staticClass:\"wrong ma-1\"}),_vm._v(\" — this crossmark indicates that your attempted response was incorrect. \"),_c('br'),_c('i',{staticClass:\"missed ma-1\"}),_vm._v(\" — this exclaimation mark indicates an unattempted (missed) response. \"),_c('br')])\n}]\n\nexport { render, staticRenderFns }","import{\r\n makeResponsive,\r\n placeTitle,\r\n createSpace,\r\n placeQuestion,\r\n placeComment,\r\n createAxes,\r\n writeHTMLText,\r\n drawPoint,\r\n setSize,\r\n labelIt,\r\n placeMarker,\r\n drawCircle,\r\n placeImage,\r\n placeShuffle,\r\n placeTest,\r\n drawArrow,\r\n drawAngle,\r\n drawSegment,\r\n placeBWhite,\r\n placeWhite,\r\n placeBCircles,\r\n placeCircles,\r\n placeChecks,\r\n placeCross,\r\n placeExclaim,\r\n hoverMe,\r\n placeLogo,\r\n drawMarker,\r\n toggle,\r\n toggleTF,\r\n placeFingers,\r\n placeAnswers,\r\n drawTriangle,\r\n placeRedo,\r\n placeStartOver,\r\n print,\r\n plotFunction,\r\n setWidth,\r\n drawLine,\r\n drawIntersection,\r\n drawPerpP,\r\n drawPerp,\r\n placeLeftText\r\n} from '../Utils.js'\r\nconst Boxes = {\r\n box1: function () {\r\n///////////////////////////////////GLOBAL SETTINGS//////////////////////\r\n\tJXG.Options.board.minimizeReflow = 'none';\r\n JXG.Options.point.showInfoBox=false;\r\n JXG.Options.point.highlight=false;\r\n JXG.Options.image.highlight=false;\r\n JXG.Options.line.highlight=false;\r\n JXG.Options.text.highlight=false;\r\n JXG.Options.text.fixed=true;\r\n JXG.Options.curve.highlight=false;\r\n JXG.Options.text.cssDefaultStyle='fontFamily:Oswald;'\r\n//////////////////////////////////LOCAL SETTINGS//////////////////////////////////\r\nvar graph =createSpace(-7.5,7.5,-5,10);\r\nmakeResponsive(graph);\r\ngraph.options.layer['image']=26;\r\ngraph.options.layer['text']=2;\r\ngraph.options.layer['html']=2;\r\ngraph.options.layer['line']=2;\r\ngraph.options.layer['point']=10;\r\ngraph.options.layer['circle']=1;\r\ngraph.options.image.highlight=false;\r\n/*********************GRAPH DIMENSIONS*******************/\r\nconst boundingBox = graph.attr.boundingbox;\r\nconst positionX = (boundingBox[2]+boundingBox[0])/2;\r\nconst positionY = (boundingBox[1]+boundingBox[3])/2;\r\nconst height = (boundingBox[1]-boundingBox[3])/2;\r\n/**********************PUT AXES **********************/\r\nvar ax = createAxes(graph);\r\n/***************** PUT AXES TITLE *******************/\r\n//ax[0].setAttribute({name:'X'});\r\n//ax[1].setAttribute({name:'Y'});\r\n/***********************SCORING *******************/\r\nvar yourScore =0; var yourMissed =0; var yourWrong =0; var yourTotal=0;\r\nvar scoreCard = writeHTMLText(graph, positionX, positionY+1, function(){return 'Your Score ( ✓ ): '+ yourScore+'/5'});\r\nvar missedCard = writeHTMLText(graph, positionX, positionY, function(){return 'Missed Questions ( ! ): '+ yourMissed+'/5'});\r\nvar wrongCard = writeHTMLText(graph, positionX, positionY-1, function(){return 'Wrong Answers ( x ): '+ yourWrong+'/5'});\r\nscoreCard.setAttribute({visible:false});\r\nmissedCard.setAttribute({visible:false});\r\nwrongCard.setAttribute({visible:false});\r\n/*************************ANSWERS*********************/\r\nvar index_selected_answer = -1;\r\nconst PtmList = [1/4, 1/2, 3/4, 6/5, 8/5];\r\nconst a1=[4, 6, 5, 3, 6];\r\nconst b1=[4, 3, 2, 4, 4];\r\nconst c1=[1, 2, 4, 3, 5];\r\nconst a2=[6, 6, 4, 3, 4];\r\nconst b2=[4, 3, 3, 4, 4];\r\nconst c2=[2, 2, 6, 9, 7];\r\n//var Ptm = drawPoint(graph, PtmList[0], 8);\r\n//Ptm.setAttribute({visible:false});\r\nconst answers = [['1 Solution', '2 Solutions', '0 Solution', 'Infinite Solutions'], ['1 Solution', '2 Solutions', '0 Solution', 'Infinite Solutions'], ['1 Solution', '2 Solutions', '0 Solution', 'Infinite Solutions'], ['1 Solution', '2 Solutions', '0 Solution', 'Infinite Solutions'],['1 Solution', '2 Solutions', '0 Solution', 'Infinite Solutions']];\r\nconst index_right_answer = [0,3,0,2,0];\r\n/*************************************************/\r\nvar i=0; var k=0; var vis=false;\r\n/********************************************************************************************/\r\nvar graph1 = graph.create('functiongraph', [function(x){return (-a1[i]/b1[i])*x+c1[i]/b1[i]}, -10, 10], {name:'Line: Equation 1', withLabel:true, strokeColor:'#008CBA', strokeWidth:4});\r\ngraph1.label.setAttribute({visible:false, fontSize:18});\r\ngraph1.on('over', function () {this.label.setAttribute({visible:true});});\r\ngraph1.on('out', function () {this.label.setAttribute({visible:false})});\r\n/**************************************************************************/\r\nvar graph2 = graph.create('functiongraph', [function(x){return (-a2[i]/b2[i])*x+c2[i]/b2[i]}, -10, 10], {name:'Line: Equation 2', withLabel:true, strokeColor:'#f44336', strokeWidth:4});\r\ngraph2.label.setAttribute({visible:false, fontSize:18});\r\ngraph2.on('over', function () {this.label.setAttribute({visible:true});});\r\ngraph2.on('out', function () {this.label.setAttribute({visible:false})});\r\n/**************************************************************************/\r\nvar eqn1 =placeLeftText(graph, 2, 6.5, function(){return 'Equation 1: '+ a1[i]+'x + '+ b1[i]+'y = '+c1[i]});\r\neqn1.setAttribute({color:'#008CBA'});\r\nvar eqn2 =placeLeftText(graph, 2, 5.5, function(){return 'Equation 2: '+ a2[i]+'x + '+ b2[i]+'y = '+c2[i]});\r\neqn2.setAttribute({color:'#f44336'});\r\n/***********************************************************************************/\r\n/*************************************PRINT ANSWER ****************************************/\r\n//print(graph, ()=> (0.5*(180-2*alpha.Value()*180/Math.PI)).toFixed(1))\r\n/****************PUT TITLE ****************************/\r\nvar question = placeQuestion(graph, function(){return 'The given system of equations has —'});\r\nvar comment = placeComment(graph, '');\r\nvar note = writeHTMLText(graph, positionX, positionY+height/2., 'You did not attempt!');\r\nnote.setAttribute({visible:false});\r\n//print(graph, ()=>(alpha.Value()*180/Math.PI).toFixed(1));\r\n///////////////////////////GRAPHICS MODULES//////////////////\r\nvar bck =placeWhite(graph);\r\nvar show =placeBCircles(graph);\r\nvar hide=placeCircles(graph);\r\nvar check = placeChecks(graph);\r\nvar cross = placeCross(graph);\r\nvar exclaim = placeExclaim(graph);\r\nvar pointers = placeFingers(graph);\r\nhide[0].setAttribute({visible:false});\r\n/***************************BUTTON MODULES******************/\r\nvar test =placeTest(graph,'left');\r\nhoverMe(graph, test, 'Check Your Answer', -20, 0);\r\n/**/\r\nvar next = placeShuffle(graph);\r\nhoverMe(graph, next, 'Next Question', 0, 0);\r\n/**/\r\nvar redo = placeStartOver(graph);\r\nredo.setAttribute({visible:false});\r\nhoverMe(graph, redo, 'Start Over', 0, 0);\r\n/***************************************/\r\nvar ansList = ['One Solution', 'Two Solutions', 'Zero Solution', 'Infinite Solutions'];\r\nvar ansArray = placeAnswers(graph, ansList);\r\nfor(let ij=0; ij<=3; ij++)\r\n{\r\n ansArray[ij].on('down', function(){\r\n ansArray.forEach(function(item){item.setAttribute({color:'grey'})});\r\n pointers.forEach(function(item){item.setAttribute({visible:false})});\r\n ansArray[ij].setAttribute({color:'black'});\r\n pointers[ij].setAttribute({visible:true});\r\n index_selected_answer = ij.valueOf();})\r\n}\r\n////////////////////////////////////////////////////////////////////////\r\nvar hint =writeHTMLText(graph, positionX, positionY, '
  1. Locate the coordinates of point B and point C.

  2. Use angle bisector theorem to find the ratio of BM to CM.

  3. Use division formula to find coordinates of point M.
');\r\nhint.setAttribute({visible:false, color:'white'});\r\n/**************************TEST BUTTON ***********************/\r\ntest.on('down', function()\r\n{\r\n note.setAttribute({visible:false});\r\n if(i<=PtmList.length-1)\r\n {\r\n if(index_selected_answer == index_right_answer[i] && yourTotal\r\n
\r\n
\r\n
Problem Description
\r\n

\n You are given a system of two linear equations.\n $$m_1 x + n_1 y = l_1$$\n $$m_2 x + n_2 y = l_2$$\n Find the number of solutions for the given system of linear equations. conditions.\n
\n A system of linear equations can have one, infinitely many, or no solution.\r\n

\r\n
\n

\r\n
\r\n
MagicGraph | Number of Solutions of a System of Equations
\r\n
\r\n

\r\n Use the MagicGraph below to participate in the exercise and record your answers. Tap on button to move over to the next question.\r\n Tap on button to check your answer.\r\n Tap on button to start over from the begining.\r\n
\r\n

\r\n \r\n \r\n
\r\n \r\n \r\n
\r\n
MagicGraph Navigation Buttons
\r\n

\r\n — is the 'Next' button. Tap on this button to move over to the next question.
\r\n — is the 'Check Your Answer' button. Tap on this button to check your answer.
\r\n — is the 'Get a Hint' button. Tap on this button to receive a hint on how to solve this problem.
\r\n — is the 'Start Over' button. Tap on this button to start over the exercise from the begining.\r\n

\r\n
Markings & Indications
\r\n

\r\n The marks and indications are located on the top-left corner of the MagicGraph, and show your attempt status.
\r\n — the right checkmark indicates that your attempted response was correct.
\r\n — this crossmark indicates that your attempted response was incorrect.
\r\n — this exclaimation mark indicates an unattempted (missed) response.
\r\n

\r\n
\r\n\r\n\r\n","import mod from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"; export default mod; export * from \"-!../../../../../node_modules/cache-loader/dist/cjs.js??ref--12-0!../../../../../node_modules/thread-loader/dist/cjs.js!../../../../../node_modules/babel-loader/lib/index.js!../../../../../node_modules/cache-loader/dist/cjs.js??ref--0-0!../../../../../node_modules/vue-loader/lib/index.js??vue-loader-options!./Lesson.vue?vue&type=script&lang=js&\"","import { render, staticRenderFns } from \"./Lesson.vue?vue&type=template&id=17de8ee1&\"\nimport script from \"./Lesson.vue?vue&type=script&lang=js&\"\nexport * from \"./Lesson.vue?vue&type=script&lang=js&\"\n\n\n/* normalize component */\nimport normalizer from \"!../../../../../node_modules/vue-loader/lib/runtime/componentNormalizer.js\"\nvar component = normalizer(\n script,\n render,\n staticRenderFns,\n false,\n null,\n null,\n null\n \n)\n\nexport default component.exports"],"sourceRoot":""}