Question
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
iii) NQ || __
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)
Hint:
Use triangle midsegment theorem.
The correct answer is: ⇒ NQ ∥ AB
Complete step by step solution:
A midsegment of a triangle is a segment that connects the midpoints of two sides of
a triangle. It will always be parallel to the third side of the triangle.
⇒ NQ ∥ AB (since NQ is a midsegment connecting AC and BC)
Related Questions to study
Solve each inequality and graph the solution :
-0.3x<6.
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Solve each inequality and graph the solution :
-0.3x<6.
Note:
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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)
Find AB if MN is the midsegment of △ ABC.
Find AB if MN is the midsegment of △ ABC.
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO0AAADFCAYAAAC4snXUAAAgAElEQVR4nO29eXxUVba3/+xzKiNJGAwBkVEZVUQBG4F2AuEyaMuoCBiGBEgIiNxW277vz4/3vrdtf+2VFrHDGAjzIONlkklQ1DghMyqjyDxPISGpqrP3+0fVOVQQFBmSqsp+/BSGVJGcOrW/e6291tprC6WUQqPRhAxGSV+ARqP5fWjRajQhhhatRhNiaNFqNCGGFq1GE2Jo0Wo0IYYWrUYTYmjRajQhhhatRhNiaNFqNCGGFq1GE2Jo0Wo0IYYWrUYTYmjRajQhhhatRhNiaNFqNCGGFq1GE2Jo0Wo0IYYWrUYTYmjRajQhhhatRhNiaNFqNCGGFq1GE2Jo0Wo0IYYWrUYTYmjRajQhhqukL0BTDChQzpcKhIVAASZgIErw0jS/Hy3aMEABCgkI/39FngAkSoLCwIuFMAsQwg0qBlPFILS/FVLoj6sUoJQXRSFSWUhpIIgAIgCBNrOhhxZt2GBwWYHq8kMohKlYumwB3bp3Y/36LzBFFBADwgDh5bLzrAkFtGjDBFXkK4VUXizpAaHIPX+SpUsW8803OSz536XkXvSAcoESgFVi16y5MbRowwUFSimfZJUEZSGlF/CyfftOjh49xfDhw9i6fRM/HziAAJQSSCXRlja00KINQxSAEBimBOXm8/XfUDnpbp57/nmiYyAnZ73vg/e9EL2wDS20aMOEQPdYoJDSiyHg3NkzbNywladad6Rm9Vo0b/Ew6z/7hLO5+ShMv4usLW0ooUUbLgjl0x8KqRRIEFKw6dtNnLtwhnsfaEBe3iWaPtSU3d/vYPePPyAMgVdFoIdBaKHztGGFBEAI4Y8MC9Z/+jk//vg9r77+77gQFBTkceDnn1m//hOa/qEJEgOFdpBDCaGU0r5RiKMAiUSh/GtVCVJy+uQJknu/yJOt23Dfg41RlhfTMFi+fBk/HzrKhOxsypUrR6RO14YU2tKGAT7BKUd4AgMlFCtXrebsuVx6JSdz113VnNdXqpRE3/6pfPLJp3Tp/GwJXLHmZtCLmTChSAxYCC4VFHL0+Cn+rUNHyldIxEKhlBdwU7duHZo/0oxTJ09iSaWtbIih3eOwQKF8ssSehwsLPeReuEhUVBSxcbEIA0zl2yigFJw5dwG3MihfvjzRhp67Qwkt2rCgqGiVEkgJCIFSIITCMCSGkggUXssCIwKPEigliHGZ2tqGEHpNGxYIUMIXNcb3f4lCKACFEP69P8IApXC5TCwJLmEgDC3XUENb2jAm8IMVV/mOKvKcJlTQljaM+aUYxW88rwkFdARCowkxtKUtBUgpkVL617xgGIbztSb00KItBQjhC07p8EV4oN3jUoBlWeTl5ZX0ZWhuEVq0pYD9+/fzzjvvcPToUVwu7VyFOlq0YYhSCiklHo8HKSXLli1jxIgRzJs3D8vS7WVCHS3aMMWyLFwuF3v27CE7O5vY2FgmTJjArl27dBAqxNGiDUPsgJNSiokTJyKlZMSIESilmDp1Km63u4SvUHMzaNGGCUop52EYBhEREeTk5DBnzhy6detGcnIyPXv25MMPP2Tjxo2ALxWkI8qhhxZtmGGLMC8vj7Fjx3LHHXfQv39/DMOgX79+JCYmMnr0aPLy8pBS4vV6S/iKNb8XLdoww/Bvs/v6669ZtWoVqampVK1aFSkld955J/369WPNmjWsXr0al8ul17chiN4wECZIebk/VF5eHs8++ywxMTFMnjyZxMRE3G43pmly9uxZevfujRCC6dOnU758eaf4QhMaaEsbRijl24a3ePFitm/fzoABA0hMTMTr9eJyubAsi8TERDIyMti2bRsLFixwxGqXOuo5PPjRljZMsIV54MABOnXqRM2aNZkxYwZRUVEopTBN03mtx+OhT58+7N69m3nz5lGjRg28Xq9jcQ3dySKo0Z9OGGDPu1JKPvzwQ44cOcLrr79OTEzMVV3fiIgI0tPTOXfuHNOmTXMsNKDd5BBAizYMEEJgmiY7d+7kvffe44UXXuCBBx5ASnnVCiilFM2aNaNTp07MmjWL77//3tftwu8ia4IbLdoQxbIs52GvRceNG0dsbCxpaWlER0c7Yr7S3ZVSEhERQf/+/TFNk8zMTAoLC7WVDRG0aEOYwGKKzz//nPnz59O/f3/q1KkDcM2osFIKy7KoW7cuycnJLF26lI0bN+JyufR6NgTQn1CIYovLTvFkZmZSpUoVBg4c+JsRYFvMQgi6d+9OjRo1eP/997lw4YJ2j0MALdoQxu5GsWLFClavXk1GRgYVKlT4VTc3UNBKKWrUqEFGRgY5OTmsXr0a0zQdd1snFoITnfIJUSzLQilFbm4uXbt2JT4+nilTppCQkICU8nftmz158iR9+vTB6/Uyffp0KlasiGVZTvpHr3WDC21pQxTbvZ09eza7du0iLS2NcuXK4fF4fve6tGLFirz66qv88MMPLFy4ENB9pIIZLdoQxTAM9u/fz/jx42nTpg1PPPEEXq8XwzB+l2trb5hv0aIFbdq0YfTo0ezZs8f5OZrgQ4s2RLDFZT8sy2LmzJmcOXOGjIwMJ8VjGMbvspJ2w7eoqCjS09O5ePEi06dPv83vRnMzaNGGCHbxg10ssWnTJiZOnEhycjKNGjVycrKmad6QW2tZFg8++CDPP/88U6ZMYceOHdpFDlK0aEMEOxVjGAZut5vs7GzKli1L7969iYiIuOGfG+hKu1wuBg0aREJCAu+9957eaxukaNGGCLbVM02Tzz77jKVLl9K/f3/q1avnRJJvhMCeyFJKatSowaBBg1i8eDGffvppkdfqNW5woFM+IYL9MZ0/f54BAwZw7NgxFi1aRIUKFZyC/xt1ZQM3DCilOHPmDM8++yzlypVj9uzZREdHI6V03G9NyaItbQhhF1Lk5OQwePBg7rjjjltSwXSl2O+44w6GDx9OTk4Oq1atcjpc6FMKggNtaUOI48eP07VrV6pUqeK0RbWLIG7VPli7Gio/P5++ffuyb98+li5dSuXKlfF6vURGRurgVAmjLW0QE9hhUUrJzJkzOXjwIKmpqZQpU6aI1buVhf6WZREXF8fLL7/MoUOHnA4XejNBcKA/hSDGFqwQgh9++IEpU6bQsWNHnnzySaSUGIZxy3fm2MEuy7Jo3rw5Xbt2Zdy4cezYseOmotSaW4cWbRBju71er5cpU6aQl5fn7IENtLK30l0NDGq5XC5efvllCgoKmDZtmj5SJEjQog1ibAFt3bqVhQsX0qdPHxo1auRY2dtBYNsZpRR16tShd+/ezJ49m02bNun1bBCgRRvk5ObmMnLkSBITE51CituddglM/5imSWpqKpUrVyYzM5P8/Hynybm2vCWDFm0QY3ekWLduHSkpKdSsWRO4dkeKW0FgJNreNHDXXXfRp08f1qxZw8cff6wDUiWMTvkEMSdOnCAlJYWCggJmzZpFYmJisV+DvUHh3LlzPPfcc0RFRTFr1iwSEhKAWxu11lwf+o4HMUuWLGHjxo0MGzasRAQLlyPYdpPzLVu2MHfu3BK5Fo0PbWmDCDsfaxgGx44d49lnn6VWrVqMGzeOhISEEjm+I7DEMS8vjyFDhrBt2zYWLVpE1apVixyrqY8XKR60pQ0iAnszTZ48mVOnTjF06FDKli0LlEwj8cDfWaZMGQYOHMjp06edFFBg0ErP/8WDFm2QYZomO3bsYMaMGTzzzDM0btzY6W1c0iilaNKkCV26dGHmzJn8+OOPznPayhYfWrQlzJXupWVZjBs3DsuySE9PJzo62nmupC2ZEILIyEgGDBiAEIKsrCznVHkt2uJDi7YEsdewtiUVQrBp0yYWLlxI//79qV+/vnOq+412pLjV12tZFrVr1+bFF19k7ty55OTk6CNFihkt2hImsHF4YWEhb7/9NnfffTfPP/98SV/aL7AnDZfLRffu3alatSpZWVmcPXtWW9piRIu2hAk82mP16tV88cUXpKWlUb169aCzXPb12B0uMjIy+OSTT1i2bJkWbDGiUz4ljGVZGIbByZMn6dGjB9HR0cyaNYv4+Hgg+IoXAodLXl4ePXv25Pz588yfP5/ExMQiE02wXXu4oO9qCWILQAjBsmXL2LRpE8OHD6ds2bLOGjfYCHTn4+LiSE1NZd++fcyZMwe4vE7XKaDbhxZtCWIP/gMHDvDWW2/RpUsXWrRoETKF+Eop2rRpQ8eOHZk0aRL79u1zGtDpNe7tQ4u2BLHXslOnTiUvL4/BgwcTGxsbdGvZXyMqKor+/ftz7tw5srOznYqum+kQqfl1tGiLmcDDoIUQfPvtt0ycOJHOnTvTpEkTZ/N5qHQ9lFLy8MMP06tXL6ZNm8b27duL7MnV3Hq0aIuZwK79brebSZMmERsby5tvvum8JlTcS9sjEELQs2dPypcvz6hRoygsLAyZSScU0aItRgKLKUzT5IsvvmDOnDmkpKSQlJQUch397QnI4/FQr149UlJSWLp0KTk5OTpyfBvRKZ9ixnaLL126RO/evcnNzXX2ytpr3FDBnoQAZ2dSjx49SEhIIDs7u8S2E4Y7oTNCwgjDMFi8eDFfffUVAwcOpGLFini93pAL3NgdLuwSy8qVKzN06FC++eYb1q5dC1CkTFNza9CWthixc5fHjx+ne/fuJCUlMX36dCIiIn73EZXBiFKKvLw8+vbty+HDh5k3bx6VKlUCCIra6XBBW9pixA4uLViwgAMHDvDSSy8RGxvrPB8O1iguLo4hQ4Zw8OBBZs+ejcvlAsLjvQULpVu0yle5I5VCIpHSi5KFKFUAFOIGPJZEFXqRlqQAcCs3UIBS+UjLwpJeJBYSC6UskEUdl8BDoAH27NnDyJEj6dSpEy1atAB8Vsi2tKGMZVl4PB6aN29Ohw4dyMrKYt++fZimWUS0CnBLsCwvSl3CAjwKpMeD5S3EY3lAuvFKxSVLIRVI5T9QWylKu/xDe5TcLAErA1/pnYWSbtavXcl//OWvrFjzOYXSQPgDLgUKLOXhpz07ePPN/2Dy5FlcKihEIVBIUJZvRKorf41ygk/Z2dkIIejfvz+RkZEARaqIQpXAksyoqCiGDx+Ox+Phgw8+wOPx/CIFZClQymLvni3837feZvGyFVgeC5BIJdn3ww6ysrI4fuYMKLBQIC30Yq60izYQAT7NKD775HM+GDmG0R+M5ujx06hIkEIRiSJKwaxpH/KP//99pk+bR6FbIpzbeO0RZRgGW7ZsYd68efTq1Yt77703ZMoVrwf7OBG7GqpBgwb07t2bOXPmsHnz5iJehAAECpdLsG/3j4z853v8/a232blrL4YrEsMVwU/79jFj2nTOXcglxB2QW46+HTYKpFIoQFrwxONtuJSby7r1n3HJUFgmRAovx3/ey7YNO+j0p06YRiQoE4VvIF7zRytFbm4uWVlZxMfHk5KS4ljZcCNww0D//v2pXLnyL0+VV2AaCrDA8tCg4X1gmkyeMo1Lbg/KPyzNCBemVuwv0HfEjxACYRiYGCgF1WvUofGD97NuzcfkWRKvAtPysHrFCuITEvlDs2Z4LQtDBAhW8Av12l36161bx+rVq0lNTeWuu+4q0uUwnLDLMJVSVK9enaFDh/Lxxx/zySefoJTynUwgLQQCUCgsKidV5IUXerD+s0/55ttvfbfR8C8XruK8lHYPWYvWjxC+YYQAC4kRHUW7tq05uPd7vv9hDxFGBBfOnmL5ynW0bN2K6NhIDFOhhD2ExFXXs0IIzp49S1ZWFnXr1qVr165FihLCCTtva6/PLcuic+fO3Hvvvbz11lucOXPG5yYLgfL7J0oIvNKiXbs23HdvfWZMm4zXcmMI39C0AhexYTjJ3QhatNfAqyweafow1SqVZfnCZbiUZPOGrzjnhhZtHscw3CjlBrxcVa1+hBAsXLiQzZs3k56eTlJSUpFmbuGMlJJy5crx+uuvs2PHDpYtW4ZhGL5ougIwkcLAkpKE+DgGpfZjy8aNrFmzEtMvfkML9ReUYtHaVlKB8llJpXzfU0LhUYq4hLI88dgf+PzjtRw6eJB5C5fyUPM/UqtGdSyvB2H4dusoBFIJEAaIywdBAxw5coSsrCxatGhBu3btSlVnBzvV8/jjj9OqVSvef/99Dh8+jGmYICUgkEQgFbg9Hhr/oSktmjdl2qRJnM/NxTBMQCIBJXxWWYhfjx+UBsJ71PwqCvyurQCQoKTCKz1IUyKVi0JD8ehTjyI8p5k4dhobth7jyVatcSFQngiU8mAp0zeoMEEppPLgdhc6ZYlTp07l+PHjDBo0yCmkCMzJBp72Hk4PuFxMEhMTw+uvv86JEyeYPn06QkCk8AAWlozDFAamEERGx9LnxRc5eeQwa9Z/iRkZgdtdQCFgYaAMEwOBEd4Oym9SikV7NQRCmGAYGMInqLvvqcsfWz7CBx+Momq1GjRt/CAKL6ZwIQREuAwuS99nAwzT59rt3LmT6dOn061bNx599FFnQ0Dg1rvS8ABo2LAh3bt3Jysri23btvhy2gD++2gYAo/08OCDjXnm6aeZMnUa+RfziHZFXRHfu/ZSpLTgKukLCBZ8xkGglMAULuJiIzENg2gzlieefJJFi9bx3HOdKRMbjcIiMjqKmOgY34DDN4wkYBoChInb7WH8+PFIKencuTMej4fCwsISfY8liWEYJCcns2zZMqZMmcbbf/8vIl0uIlwRxERF40+RIxF06/4cC5esQBhgGpcFazjeUel2kEvxhgHlKzvEwBf5FUjlQUoPefl5WCqGuDLRmIYbaVnk53mJjS2LMsElLPJzL1DglsTGJxAVEwVKYSBR0sI0I8nJ+ZIuXTpz4sQJKlSowKVLlwBKdRuWyMhILl68SLVq1ZgyeSJPtnqSixcLyCt0U65sWUwDTCyUlOTm5WFJgzLxCWCaCMCFxBASMCnNwi3FltbvCvu/VoAhTAxDUK5sFBITJRWGiMBluoiMLINSAonAUIL4shWIFwKlAk+WMzFMg9zcXDIz/0V0dDRlypShbt26tG3btgTfa8mjlMLlcrFmzRrWr1/PhKyJNGvWnKioKGJiYn15WRS+eyj8h46ZWErYySFA+u916ba2pVi0UPSDtweCiVK+QWILUSkLhBcwMJTLceV8FtNudSp87jGCtWvXsm7dOv72t7+Rk5PDd999R69evahTp05xv8Gg4ty5c6xbt45q1arx6aefs3rNWp555mmUVAgJGPZ9VL67qUDgQij8Qr0cPCzN6ECUsxpVl/+quPw9ZaAwfBsCkP7Fr79xGcqpowXfzTxx+jTvjRxJ06ZN6datG4MHD+bcuXOMGTMGKHqcZWl6SCkZOXIke/bsYdy4sbRs+Ufee28kJ04cxzD8Gy78d9VXfOH/m5L++6ucj6e0o0Xrl91VI5/4inB8X7sQwkTYdYvCzssaPrfZshDAogUL2LtnD2lpaSQkJNCwYUO6devGokWL+Oqrr5yCenvLXklHdm/nI7Dr5K5du5g2bRqdOnWiffsO9O3bhz17drNkyRL7JqOURCkJSiAwESIw0m747n8pX8+CFq2fgKSC86XhH0wgMBC4APPy8/6HwrfRwDAMdu7axYTx42nXrh2tW7dGSonL5SIlJYWEhARGjx5Nbm4uQoiAdXB4Emhh3W4377//PgCDBg0CoFWrJ+nQoT3jx0/gp59+wjB8yxIpbbfYJPAz8P1haNGiRXvT2JZASsn0adM4e/YsqampREVFOYO2bt269OrVi5UrV/Lpp5+WitYr9n1xuVx8/fXXLFy4kIyMDOrVq4fX6yU6OpoBAwZw4cIFZsyY4RSj2BOa5tpo0d4CDMNg165dTJ06la5du9K4cWOUUs5+WcMweOGFF6hbty7jxo3j4sWLYV/CaAswPz+ff/7zn1StWpXnnnuuSPuZRo0a0b17d6ZPn86WLVuc3UG6Z/KvE94j5zZht4+xrYPb7ebdd9/ljjvuICUlhYiICAAiIiIcK1y1alXS0tLYuHEjixYtCnuLIoRvU/yyZcv4/PPPefXVV6lataqT+hHCd6p83759iYuLIysri4sXLwK6n9RvoUV7AwSKTQjBl19+yUcffURycjJ169Z1vm+7wHbE+KmnnuKhhx5izJgxHDp0KOwtyokTJxg9ejSNGzemQ4cOwOWjQmxPpFatWiQnJ7NixQpycnIcS6y5Nlq0N4AtSMMwuHDhAiNGjKBOnTr07NnzmtZTKUWlSpXIyMhg9+7dLFy4MKwtLcDMmTPZvn07r732mnPebiB2LfYLL7xAzZo1GTt2LBcuXCiBKw0ttGhvEPt0uDVr1pCTk8Of//xnkpKSfuHa2c28wTdIH3vsMdq2bcvYsWPZvXu387PCwSUMXMcfPHiQrKwsZ7PE1d6fvXSoWLEiAwYM4Ntvv2XJkiXOnlv7Ee6T2+9Fi/YGEUJw6tQp3nrrLR577DEef/zxa0Y/basMUKZMGYYMGUJubi7Tpk1zIszhUJNsp3k8Hg+jRo3i0qVLDBky5Kr9sOzJzI6kd+jQgZYtWzJx4kSOHTvmCDqcmt/dKrRobxDDMJg5cyZHjx5l2LBhlC1b1hlg10rn2IJu0qQJXbp0ITs7m02bNjn7a0NdtAAul4sNGzYwd+5cevfuTcOGDZ0Ci1+jXLlyDBw4kD179jBlyhTHkwn3df+NoEV7AxiGwc6dO5kwYQJt27alRYsWuN3u64oISykxTZO0tDTKlClDdna2M6hDXbRCCAoKChg3bhzR0dEkJydf17+zrXPLli3p2LEj06ZN8xdchMdEdqvRor0O7LWax+NBSonH42Hq1KmcP3+eN954g4iICOcg6OuxDEop6tevT58+fZg5cybr1q0LyXN8Ak9PsEsyP/vsM5YtW8af//xn7rnnnuuq/LKXD1FRUQwcOBApJWPHjsXj8RTphKHxoUV7ndhJf6UUmzdvJjs7m+TkZKpXrw78/n5PUkpefPFFatSowejRo6/LhQw27PW4HWQ6c+YM//jHP2jYsCHPPPMMULRD46/9HACv18t9991Hr169mD9/Pps2bSqSOtP40KK9Tmz31e12k5mZSZUqVRgwYIBTxXM92K+zI6LVqlUjNTWVtWvXsnTp0pAbnPZEZQtz+fLlbN++nWHDhlG5cuXr/jmB7zsiIoLevXsTHx/PmDFjnGWHJgCl+U2klMrj8SillPrf//1flZSUpMaPH6+UUsrj8SjLsq77Z1mWpTwej3K73UpKqU6fPq3+7d/+TTVq1EidPn3a+X2/52eWFF6v17kve/fuVU2aNFGdOnVS+fn5v+v67fdrWZbyer1KSqmmTJmikpKS1PLly4u8Tkp5y99HqKEt7XViGIbTdLxBgwZ0797dOeri91gCOyJqlzpWqFCB9PR09u7dy7x58wBCJtVhB4qUUsydO5fjx4/z5z//mZiYmN+1FrUtdeAZve3ataNhw4b885//JDc3t8ja+Xp/briiRXsd2INqxYoVfPPNN7z88suUK1fupn6ejZSStm3b0qZNGzIzM52oaShEk5W/jnj79u1MnDiRTp060aRJE2d9fiNurZ2fTUpKYujQoWzdupV58+YVaTlb2tGivU4OHjzIiBEjaN++PU899RTATQdJlD8qHRMTw6uvvsrJkyeZM2eOE3EN9rWcYRgUFBSQlZVFREQEaWlpREdH35Lr9ng8PPXUUzzxxBOMGzeOI0eOOKfylXb0HbgGSl0+/U1KyezZszl69CgpKSnExcU5M/7NpGoCOzzYBRejR4/m+++/dyLVwUagmwrwxRdfsGjRInr27Ml9993nXPPNCNe2tjExMQwfPpyDBw8ydepUQFta0KK9JvaaTAjB5s2bmTx5Ml27duXhhx92cpI3u5nd3iRumiaRkZEMHjwY0zSZMGFC0PZIDpzMzp8/z+jRo6lcuTIvvvgiQJF16c38Dnt5YPfamjBhAjt27CgVDQR+Cy3aa2APnIKCAmbMmAFARkaGs0f2dlC/fn169OjBggUL+Oyzz4JucNrWVfl356xcuZJvvvmGlJQU5/jOW0FgWadpmqSmphIREUFWVlbRc25LKVq0v4JhGHz99dfMnj2b5ORk6tSp41Tp3K7f99JLL1GuXDkmTpzoNDgPFmy3NTIykqNHjzJq1CiaNWtGt27dnOduBbYnY1v1hg0bMmDAAObOncumTZtuye8IZbRof4ULFy4wceJEatasyQsvvOCka25XMEQpRVJSEgMGDGD16tWsWrUKKaXTIaOksdfgXq+X+fPns3//flJSUqhQocItbVRn/x77Xiul6NWrF3feeSdvv/02ubm5KOU7oDoctjT+XrRor4FpmqxevZr169eTkpJCtWrVbnvjMfvnd+vWjUaNGjF27FhOnz7tBKuCAZfLxf79+5k8eTJt27blsccew+PxADcXfAokMG9rv/ekpCT+/d//nfXr1/Ppp586n0MwTGbFjRbtNTh+/Djjxo1zmo/B5R06t2utKYTA4/FQpUoVUlNT2bRpEwsXLgyq9I/b7WbChAnk5uaSkZFBXFyc43ncLqtnmiaWZdGxY0ceeeQR/ud//odjx46V2m17WrR+7FnbnrkXLVrEDz/8QEpKCvHx8U7w5XZjW5b27dvTtGlTJk2axJEjR4psUytuCxP4+7Zs2cLs2bPp2rUrDzzwQLEdkm0YBmXLlmX48OF8//33ToeL0kjpfNdXwS50UEpx4MABJkyYQLt27WjVqpWzIft2Wzu7Q6FpmpQrV45hw4Zx4MABZs6c6Vyb3bW/OEVrp3jy8vKYOHEicXFxJCcnO5H0wA4UtwP7dwD88Y9/pEOHDmRmZrJ3795SaW21aP0EBlkmTJjA+fPnnUKKkgp2tGzZkk6dOpGVlcXOnTtLZB1nC9YwDFatWsXSpUsZMmQIderUcaK8xUlUVBSvvfYaubm5TJ8+3VlPlya0aP3Y69WdO3cyZ84cunTpUqSOtiSIjY2lX79+5OfnM2XKFAoKCoBbF/C5HrxeL6Zpkp+fz/jx4/slf/IAABH9SURBVLnnnnvo2rVribqm9913H126dGHq1Kls3bq1xK6jpCjVog1cIwohuHjxIu+//z4RERH069fP6cFbUgNUSkmTJk1ITk7mww8/ZMOGDcXeF9h2e2fPns3mzZtJT08nKSmpxKLZ9meWnp5ObGws48aNc1I/4dAc73ootaINXMPa7t/XX3/NkiVLSE9Pp379+rekVPFmMQyD1NRUypQpw6RJk8jPzy/WdZxhGBw5coQxY8bw2GOPOR0pSrI9jlKKWrVq0bdvX5YvX84nn3ziBPC0aMMYOxdof8i5ubmMGjWKOnXq0Llz5xK+Oh92AUHNmjVJTk5m8eLFrFu3rljFIoRg0qRJHDhwgMGDB1OmTJliC8xdC/sz69mzJ3Xr1mXUqFGcO3eu1JxOUGpFa2Nb2eXLl/PVV18xbNgwqlSpUtKXBRRtT9O7d2/q16/P2LFjOX/+fLEJZt++fUyaNIlevXrRvHnzIkG5kgjQBfZDvvPOOxk4cCDffvsty5cvD6p89u2k1IrWdo9t9y8zM5OWLVvSrl27oKk+CuzmUKVKFdLS0pxjIwNrc2/l9QZ2h/B6vYwcOdIpI4yIiChiYUtqrR+4oaBDhw40a9aM0aNHc+LECUfU9ucbjpRa0QaWI86YMYM9e/aQkZFBfHx80MzWgaIF6NSpEw8//DATJ07kyJEjt+V3Bq4Nv/vuO2bPns3gwYNp0qSJI4aStmiBJY4JCQkMHTqUw4cPM3PmzCLHiYQrpVa09uA7fPgwU6ZMoWPHjrRo0SKo+xDFx8eTkpLCjz/+yMyZM4tMPLdykLpcLvLz8xk5ciSVKlWiR48eznPBMqEF8sgjj/DMM8+QnZ3Nnj17cLlcWrThiD3gR40ahcfjcVql2C5zMA5OgDZt2vD0008zefJkfvrpJ6fDxa28XiEEa9euZc2aNbz22mtUqVIFj8cTlPdEKUWZMmVISUlx8tmFhYVhXeIYvu/sKthrQHsW3rRpk7NXtkmTJgDOui0YkVI61jY/P5+xY8fidrtvukoqsK2OEIITJ07wzjvv8OCDD9KlSxdM03QOgg5GvF4v999/P/369WPOnDls2LAhaNv13AqCc3TeBgI3BAghcLvdjBs3jnLlytGzZ0/gciljMA5O+5q8Xi8PPfQQnTp1Yu7cuWzfvt1px3oz2BOZEIIFCxawbds2hg0bRpkyZZzvB+N9gctte3r06EGFChXIysoiPz9fizbUsQecbU1ycnJYsmQJL7/8MrVq1Srhq/ttAied6Oho+vXrh2majB8/nkuXLt2wdxBopQ3D4NChQ2RmZvLMM884XSdDASkltWrVol+/fqxZs4Y1a9bcksksGCk1orURQnDmzBn+8z//kwcffJAOHTqETHPwwHNuGzRowMCBA5k/fz5ffvklwA0F0OzJzN7Lm5mZyYULF3j11VeJjIwMCWsV+B66d+/O/fffz8SJEzlz5gxQ/FsZbzelRrR23tHlcrFy5Uq2bt1KRkaGc3p7sLp+NrZg7W1wLpeL7t27U7NmTTIzM50WLDcyAdlLhq1btzJ9+nSef/55GjVqFBIR2Cu7XCQmJpKSksJ3333HvHnznPtxO3t7FTelRrR2HfFPP/3EyJEjad26NW3atAkJwV4NKSU1atRg8ODBfPnllyxbtuyGapLtgex2uxk9ejQJCQmkpqaG7ACXUtKuXTtat27NhAkTOHz4sDPZhep7upJSI1rwrdnmzJnDvn37+Mtf/kJsbKxjnUIRpRSdOnWiQYMGTJ48mZMnTzrfv17syezLL7/ko48+Ij093ek6GYqTmVKKuLg4+vbty+nTp5k2bVpJX9ItJ6xFa5ey2aLcs2cP48ePp0ePHjz00EMAIXvUhC3M8uXLk5GRQU5ODrNnz74ui3Jla50zZ87wzjvvULt2bbp27Qr4CiyCOV99LewyxpYtW9KtWzemTJnCzp07w6rDReiN1t9BYLWQ2+1m7NixREdHM2TIEGfL3e1ui3q7kVLSpk0b2rdvz7hx4zhx4sR17XYJDFqtWLGCzZs3M2zYMO68807nvoSaYOFyGWZERAR9+/YFYMKECTcVYQ82wuNd/Aa2+zd//nx69epFvXr1QtYltrEtil1wMXDgQI4fP8577733m2Kz1/GBKZ6mTZvStm3bkF/32dsGpZTUr1+ftLQ05s2bF1YdLsJatPbAvHTpEpmZmSQlJTFo0KCgrS3+vQTmnlu1asULL7zAjBkz2LJlC3DtVIe9Q0ZKyaxZs/j555957bXXiI+PD/nJLNBDEELw/PPPU716dUaMGBF0JzbcKGEt2sBCirVr1zJgwAASExNv6REWJYU9IQWuPfv3709+fj4TJ050DvC62gRlW6Mff/yRqVOn8vTTT9O4cWPn+6FMYAoIcHpIf/zxx3z88ceA7xjNwFhHyKHCnFOnTqnHH39c/elPf1InT55UXq9XeTwe5fV6S/rSbimWZSkppfrHP/6hypUrp77++mullFJer1dJKX/xWrfbrV555RVVp04dtW3bNiWlVIWFhcqyrJK4/NuClFJ5vV519uxZ1b59e9W6dWt16tQp5fF4lNvt/sV9CRVCe1r9DZRSLFy4kJ07d5Kenk5iYmLYVccEYlcE1ahRg7///e/X7N5oGAZfffUVCxYs4MUXX+S+++5zUjzhdG/s95OQkMBf//pXNm3axMyZM0M+khx2og0U5YEDBxgzZgxPPvkkTzzxBF6v13ElQzEyei3s92xZFjVr1mTgwIF89tlnrF69GtM0f+Ei25H0smXL0qdPnyLlkaHuHl+JLdxmzZrRvn17srKyOHr0aEjvuQ2rT0gFbL3zer1MmzaN8+fP88orrxAdHe2kdux1YLhwZSlf7969qVu3LmPGjOHo0aOAr42MffreRx99xOeff05aWhpVq1YFfHnZ23n2bklh35PIyEheeuklzp49y+jRo4tMVKFGaF71r2BX+Gzbts05vf3ee++95RvFgxXbHfzLX/7Cl19+ydKlS533bZomJ0+e5F//+hcNGzakc+fOYRNJ/zXswGPTpk1JTk5mxowZzokNoUhYidb+EAoLC8nOziYuLo7+/fsTHR1dKgZnIG3atOHRRx916m/tddyCBQv4/vvvSUtLo2LFimE9mdmel41hGAwcOJCoqCjefffdkD1SJChEawvKvsmBbm7g339LdHbKYu3atSxbtoz+/ftTr149lFIl3nT8dnPlBv4yZcqQnp7OoUOHmD59OkII9u/fz/jx42nTpg2tWrUKmsOqbxeBlV12wUX16tUZOnQoixcvJicnB+C6G8FdbRyWRGBTqCD41K7MmV0ZKArMq/5Wid65c+dITU3l5MmTLFiwgDvuuCOsB+bVsN+vZVmkp6fz1VdfMWfOHBYuXMjkyZPJzs7m0Ucfxev1AoR8NPV6sSwL0zQ5duwYzz33HOXKlWPWrFnExsY6z11rnRso7MD1sH2vi3V9fJtTSteFZVnK4/FcM39qWZbyer3K6/X+Zh5xxowZqlatWmrevHm363JDiu3bt6vatWurtm3bqvr166v//u//LulLCgpWrlypKlWqpGbPnq2klDeUt5VSOo/iJCjOUVBSIgClJEeOHOXrb7/D7XYjkFSrVp2HHmpMdEw0OBZTAsL/uMzx48cZP348MTExnD59mg8//LCY30nJoVAIBCjfV+A7OcGyLKpVq8aqVasoX6ECQgjmzZvnpL9KEyrg3KYLFy4QGxvLBx98QLNmzahevbr/RQQMK9v7Mzh37iwbNnzHqVOnqFmzJo0aNSI6Ohoo/rayQeEeYyksFKbhYfH8mbzyxmgefrghsabF7v0/06BBI/7v398iPj6WSOHFEF7AxEsESiqE/y1MmjSJN998E6/XS1RUVMjm4W4I/7gRCoQSCMNEYoEAKRUFlwoxTZOoqEiU8k2SCN8IDYIRUOyYpsmlS5eIiIjgb3/7G/369cNQAoXAMkAoL8h8TAHffLeZt94ewfnTuVS+s7Ij3HdHvOtvbg+GUXzCDQpLCwLlG224L12g8l3V+ce773JX+TJ8tOZjXnnl/+PrDRtp+9RjKCUBCxAgBEoqwNdK5vHHH2fhwoVO0KG0oACJBCUw/aJF+O6p774amIbps8IqMJBy2ZKUVqSUJCYm4nF7iHK5QJgoAGHhMhT79uzmzTf/kypVa/O3/3qLatWrcejgIVatXkNhoZv4eOWf9EqdaC8jDAPT5SIqMgoREUWd2ndTtmwcHnchClD+AQkClP9L5QtQ1a5du9QEVa7ElmH4xsdvD0oppFJYXi8KC+UPghoowGTlRx9z/MR5Mse8wd01q1FY6OG++++jfoN6gG/vrstVvGMuCEUrOH/+PB+vXkNirMmcRfOpXOkOHv7Dw3iUwhQmtqX1DVDl/3dG2NXOXi8KsBQIpTBRCOGfzYTJ2fO57Nm9i0t5F6hYsSJ331ObyCjfSQoKgSEExejZBRXKn8LxNUIwEEKihEQgMJTCk3+J7zZspdEDD3Nnlap4vV5MU+D12q14FIZR/GMueETrHzgmgqOHDjMpO5t4l8XBY4epUvkujhw+SEKFsngRmMJEKMPn1Jkuwjj9et0Y+HWKRCkLaSlWr15JVvY0Tp04RoShKLh0iYcfacGgtDRq3V0bn2wV0RGl0zspWsro34PrXyoooPBSAadOnuau2tUwTIHLdGEbiZI8jCzoFjOWJbm7dm1GvDeCrKws5syaQWSU4N1338XtlShhYF+2UNodDMRxkQ2T7du3Mnz4cGrVupuxY8cyZWo2b/39LTZu3MB//dd/c/7CBQxh+Na+JXrVwYJASROpfA0CBIII0yQmNoZL7kKEAb47fPnh06ryx1mKj6ATrULhinSRWDGR8kkVqXVPXVo0b8ZP+/fhdjoECgjvXYU3hZQe3v2fd2nSpCn/5z/+Sr26dbgzKYnHnnySv/71r2zc+B3ffPstLpdAmPo+2iglUBJffM7rJSo2hnr16vL9jh2cO5cL/lQagGG4UP7/ipug+MSkUv4crIlXRWOqQlwCwKCwIJ/de/aTVKECsYZvrQEGSgiUoERuWvChkEIilReE5Pyp0+z+cRctW7YkoWwcHqnwKoHyFNDw/gZUuKMCO3btxINvfOo76EMIhSH8FtQwITKa1m1bc/H8cf71/nucPXsWy1KcO3eeyZMnc/zYSQSGLzhajATFmlYJBVKBEYGKSGDXju/4j9deISYmhpMnTnDq9GneeOMNEqIiUFKCYWi/+AoUXpQ/f11YUIiQigrlKwAgDROXiESoAuJjIykTH8fp3Dy8gKnvo4Mw7Jy/QgkXKEnzli144/8MZ8R7maxasYo6tWtz5OgRKpSvQIf2T6OUWezucVCI1k7bWJbFAw88wKC0NOfUs6fatKFDhw5UqlQJKWWpTen8FsL5UyAMA4mgsNDtzzn6q6WEgcfjweMuJMLlwsDn4OhAnh+nGsqXmbCkQhgGz/fowSPNH2PpspUcOXKEbt278tRTrYmJsSuiitdhDQrRKv/IkVJSr1493njjjSLP25va7aKJ0lZ+99sIBCZ2SCk+IYHomCj27t2LL0Em/KltF4cPH+b0qdPUr1fPN0YtC1HMecbgxcAOMinlW3gZwsSSiuo1a5CRke680t4hpZRv04VhFJ+UgmL022Fze/tc4LY8u6NiRERESDcVv90YvuwiKIiNT6BVm9YsWbqEzz7PwbIkCIPjhw6QNX4CNWvWpMUf/uDL62ozexlh/+Efj4YLYRgYV1STKSX9eV38B6KVQkv7W3mucN4HeyvwZR4MBAolfANrUHo6u/f+xMCBqTRr3pL4uGh2bd3EN199S9s/dSY6MgphCZTlBR1BBgIDcgIw/MuKyxFiceWrhEFJhPGCYsPAb12CFu11IEEJC18Vsq9i7Py5C3y+Podvv9uI13LzYIPaJMTF8a/xUzh9voCXhg6hy7MdiY6JKumrDwp+OQoVV0r52hTfxKdFGy5IUMKXwJFYSEviMl0IEehMeUBaHDx0gvc/GEtSxYq8NDSD6JjIkrrqoOKX6S87MiUx/NVjV+dywU9xEBSi1dxq1BW9n3zDTdipCWFgSYm7sJDo6Gg9KQZwNTGIX3226CuKAy1ajSbE0BEIjSbE0KLVaEIMLVqNJsTQotVoQgwtWo0mxPh/XAnVgzxat34AAAAASUVORK5CYII=)
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.