Maths-
General
Easy
Question
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,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)
Hint:
- Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
The correct answer is: y = 1/5x - 5
- We have to write an equation of a line that passes through the given line and is parallel to the given line
Step 1 of 1:
We have to find a line passes through a point (5, -4) and parallel to a line ![y equals 1 fifth x minus 4](data:image/png;base64,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)
Since two parallel lines have same slope.
So, Slope of the line will be ![1 fifth](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAIJJREFUeNpjYMAP1IC4FogvMFAIFgNxGhD/Z6ASGDVo1KBBYdB/LHgUDCbwn0w8CoZCDI4WZDQw6BcQfwLibUBcBMQ8lBjIAsTG0IbEDSDWoIYr3YD4ILW8/IMahugA8V1SNa0DYksgZoJiD6ghQaQaFArEt4D4DxC/A+JVQGyKTwMAfKc5il4VJDgAAABidEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4xPC9tbj48bW4+NTwvbW4+PC9tZnJhYz48L21hdGg+Xdkl9QAAAABJRU5ErkJggg==)
Therefore the equation of the line will be
![y plus 4 equals 1 fifth left parenthesis x minus 5 right parenthesis](data:image/png;base64,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)
![y equals 1 fifth x minus 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAjCAYAAAAHUl3/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAatJREFUeNrtmTFLxEAQhZdDRMTuOCzsLMRCbMRCLGxEROQQQcRCRATrw14sRBCLq2wtREQQsRC5RizEwkZExEIO7i9YWIiIcL4lU4SwSjSTZAPvwQfJZiHJy+zszsYYPzQANsGjoRLpCKyDNq3QEY2kkTSSRlI0kkbSSBpJ0cicDIzi+/O1+eE5Uvw38gAsOtprYMfTl1sDu472bbmWi5ErYC/S1g2aoPzHnJFl7ngAvaHzVbCfZ0TOgNNI25YJ9gh91jSoy/EkuE5xaH+CN9AAG6DH1dFG3XPovAJaoCvjGfA/EX4FJkywKVxWuPdv6gAjEmAvYNDV6T10XJf8mNYDaaom0TKc8WiYAjeuC7egX7DRWCrAbDoOzuTDL+Vw/w9X4yGogmOwXAAT7Qe/kEnR5qv7GENbU0MScM4hYpdBTwUwsSJJP2zcrAn+/aShczAmo7Qkk5w1cd7VeU5yW9VzEzvlxfoc107kJbW1IEvBL/AqK5zRnzpbA+9YwyZXQ8KXNWzCxHnJzQDuqtBIWpBxDUvFU6wallKqYSmlGpZSqmEppRqWUqphfdY3lC6Sd2g26xcAAACbdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bWZyYWM+PG1uPjE8L21uPjxtbj41PC9tbj48L21mcmFjPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj41PC9tbj48L21hdGg+fCP8vAAAAABJRU5ErkJggg==)
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Maths-General
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Maths-General
Maths-
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAAPCAYAAABX/AUKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAoxJREFUeNrtWUFEZVEYvp5kpM140mIWkYxkPG+bWYwhIxmZzRhPRka0ynjazCpJhrRoMRJJi2REnpGMDHlGMkYkeZIRadlimMUskgz1/dMXt+u+d8/t3c7733U/Pt13uofj+79z/v8/13Fqi5fgpaMHj8ExcD/kvEdgEbzg3KwTb2iJ21OwAP51aT+gRaRm8FCZwZfB4Tus6Qf4nM8vwF8xNremuG2BOa5J0MVY5DQINQ8O3bNQl5bmyemR4rP8PYuxwW3ErRq0gSXv4CL4xuflPPjxnlJLMcBMIuKUz/gk/6fJ4N/BPj5LipwzmGNb83qKW7U49w4MgtOesSbwCEyXMUAQy6GRO6zNwEx7YKvr9ztwVuEJ3gOeMGV+AhsM5tjUPArYjFs16GaZcgty+qx6xsbZcEUN2d0jhmbqBWdcJioqLFHEqKfgbwbSFDY1r7e43RUPwB1mmluQE+PA9bsFPOaEKJHx2V1BZtoEn7FDThsYM4pTzvS91+A38CE4yueKqbIGmkehTz3ETWKwxibfF+7GaIa1YNQLkt3VEVKoPJu4jMImc4/GdFiWiEGzrnKjFDDfhuZRwHbcwqKd5u6o9NI2X2xnoFI1OEH8mpoCg59TaPALj079NMNN6TIeMN+G5vUYtzDoBBd4oFTEEgP0GXxrWbxyu3KdC5d7zl2DVGfb4H4fFqSufs+blbRSzbXHzRSt1Nukqf+fUhYN0qoNoSTtb3iEka9ny8oMLub841xf96Uo9AfwH2tQrZprj5spvvIEN8IrLrq/xkLJddQX5/rztxcr7NBtpmKT25BdmvqcNwYTnDuhVPO4xC1UPyIi/3QS2ESiuUVIaulOZEg0jyOesJ5JkGgeK1wBL7UM/qb/si0AAAEQdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz49PC9tbz48bW4+NDwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MTwvbW4+PG1vPiYjeEEwOzwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPiZhbXA7PC9taT48bW8+JiN4QTA7PC9tbz48bWk+eTwvbWk+PG1vPj08L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjQ8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4yPC9tbj48L21hdGg+jbTnAgAAAABJRU5ErkJggg==)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Maths-General
Maths-
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKgAAAARCAYAAABJjucJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAjFJREFUeNrtWj1LA0EQXSSIhU2QkMJCsLAUOxERsRWLIFhYiQiS0s5CUoh/QOzEQoJIQEREJNhICFaCSAqLYGNlEYQUIiGIoG91isuyJnfJ7cdt7sErdu8S3szs7sxswlgM3fjuwH7CAlgEG2ATfAb3wZF4mdiHFfCoz2wugcvgoGduCryJl4NdSIN34FDsil+8yyYHwF2wBn6CFXDMkECbtOjAFZ0csW8YGwersgfX4AGYJCecgRmFtVa7eitsLTYjC+Yk8wXyUcbiOIWdRdapDl0UH66SoV7kZS9qgE1aVIOffPdgwucCddE34mbY+q9YnRHmyoZSh01aVJ88Zepko+6bMHyRpM3IN+y8+LBB6cJb53wYEq1Ci61dezHgZ2yKkyoM0yJtwZswngUfDQXOtJYJqgkripvAaoDGqBvf6LBDFZrixKtwxcENOzckzrSWE3BT8cmRodSs0jc67FCBSWqUWrAHHtLO5vXMaZv0w3f+EvhA1xzbIQu0RYvKwBaoY+30jtgkBfGNDjt6RZlKnQTZxOvxF3BN9vIOdYg52qU1yfUF/5Iv2p2jlKLqCoTboEVlYGvUFARdoH59E5UFOsf+rs2axBIdOL6QksxN02nlrYFuNRjSi5Zui38bAlvwcYWUivAJGjr4PVxeGB87qsV0YHlGeGLyO9Io2aEV/BeMrDDecFSL6cDysiXtgB1acSGknEtm7lcM1VpcCWxfLdC6cM0hjl3Q4sp/NJ2w4wfImu40G61awwAAAR50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+YTwvbWk+PG1pPm48L21pPjwvbXN1Yj48bW8+PTwvbW8+PG1zdWI+PG1pPmE8L21pPjxtcm93PjxtaT5uPC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3ViPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjc8L21uPjxtbz47PC9tbz48bXN1Yj48bWk+YTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tYXRoPj3iQJEAAAAASUVORK5CYII=)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3](data:image/png;base64,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)
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12](data:image/png;base64,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)
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56](data:image/png;base64,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)
Maths-General
Maths-
Graph each function ![g left parenthesis x right parenthesis equals fraction numerator 3 x plus 2 over denominator x minus 1 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGkAAAAjCAYAAACXQSQwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAt9JREFUeNrtmlGEVUEYx8daK2tFkqSHWEmy1iXJWklkJStZekgPSSRZWb301FNi9bCS9LIPPdyHyEqStay11rpWJFdP6SU9JOntylrrcvuP/len25zTnJkzc+ue78efe+fOOc6Z787M9/2NUr3LKWgR2oS2oA/QA2h3l59rHFqAGtA2VIcuqZKyCk1BA4m2CrTU5edagy5CQ/x+BKqxTSCNQPdteVx7AHonofnJMPTe0H4VmjW03+VvoYOkuCSXmr3QFe5LZ1P6vGW/Nrr/o0gzaYxLXilpdWgmo+8ZaI6fT0MrkZa7HdBrJhSlZhd0noNxMqPfMn+vW2SBLQvZPNcLaEJ2ol8MMVBpzDAtHo2QOAwzQAclLPYbdLt+mXNMh/ME6TA0Dw2GftkbKRlRFrO8rluMMnkw/atfctD0bHvjUPTaBkknJ8+g/hgvu+F4bc1xOXEpGi9wMProQHyELnf020NnIhmUSagaKEivOJOCU2P17sJRaD3CM57ggGxRqxz8JNqNeA7tN1z/lBlf6IwzT6JhTaWAnH6dwRICcR+a9rzHTYf9TCCDDMI3LhELrLpvJ/oscSnxsVbGHIpFgRvsGgPST92CmiwE2zTU786yi7UyoNKNziKKxJ7lDnTP0K5T1n2J782CrJVtmRf5+WKoDXTq+r2jrfmX+9haKyGC1OoxWaXFx5m6KsvlztZakeXOgamU4k3bI08MM2Xc01qRxMGBcyzeOqkaMrO0FDyPtTLN+wg52Al9TbgIFc6Iz+pPa99UzOa1VqSY9ZhNn7if6FkwwXqpz9B3I7Hn5LVWYtlCpWAkZQlU6v8wWP8lDrHEqfvcRLuyjxP10DEOZpZbe93B2tH70LUS/uGrfG+vzFRv9A9ZE21yfxmRxSRIHSdYUMTxLQlSBHyPb0mQIuB7fEuCFInYx7ckSA74HN+SmRQB3+NbEqTAFHF8S4IUkKKOb0mQAtGN41tZiYc1PwCl3Q1ufzOkIwAAAOd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+ZzwvbWk+PG1vPig8L21vPjxtaT54PC9taT48bW8+KTwvbW8+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW4+MzwvbW4+PG1pPng8L21pPjxtbz4rPC9tbz48bW4+MjwvbW4+PC9tcm93Pjxtcm93PjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+lsLVkQAAAABJRU5ErkJggg==)
Graph each function ![g left parenthesis x right parenthesis equals fraction numerator 3 x plus 2 over denominator x minus 1 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Find the equation for a path that passes through the point (6, 6) and is perpendicular to
.
Find the equation for a path that passes through the point (6, 6) and is perpendicular to
.
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 2 semicolon a subscript 1 equals negative 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKgAAAARCAYAAABJjucJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAfhJREFUeNrtWbFKA0EQPcRCxMYiWKQIiIhY2YnYW4hF2mApiH9gISnEP7ATCwkiAQmSItiJWFgIIiIW/oBFEFIEEREhvoURjuU2d7nL7uzt7YNX7HEhb2dmZ2bngsDDNNbBFtgHf8BncLvgNlkE62QLD2bcgTVwhtbL4D09KyrOwV1w4MPDTlTAF2+G4QE6AR6C3VDpqTAJtUmLKXx72wwP0A54DM6SES7BasY/i6MpLbZjjcp8GE2yUdViPxkL0BptNIwGuMngLJu0mMAU+ECXp7gAdd02ygC9pVMsN/McpcMmLbozj8iCbXAj57YZVxZWvvdF5SLc53wyidahxUbMU3AujPAbm/xkNIN+SGtRbp6YHMetxcRMbgk8Bac12iaPs0VlgL5TL/QPsbEWk0huLbpncnPUR05qtk0eZ4tKrUfgCZUM0c9cgNeKd9/ALfCRxhz7YxZpixZdju1QBo1D1CVpFNvo3ofxMdMBnew6ndJuxPhCGOaXTmcZXAF7GoTaoGWg0QlJej3VmCmJbfIWoKn63lLEs1XKVuEe6MbABrJoSdv82+DYZoIRUsmhDJoZYg7XkNZnjmrhdqyoCK8pe9XCBqj4grEnrXcc1cLt2DJdqAIfoMlxJZWcdsD3FUO3FlccW6gA7UljDnntghbOQTX7xcM2/AHK0umjBmUjOQAAAR50RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+YTwvbWk+PG1pPm48L21pPjwvbXN1Yj48bW8+PTwvbW8+PG1zdWI+PG1pPmE8L21pPjxtcm93PjxtaT5uPC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj4xPC9tbj48L21yb3c+PC9tc3ViPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtbz47PC9tbz48bXN1Yj48bWk+YTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tYXRoPpA5geYAAAAASUVORK5CYII=)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 2 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Maths-General