Maths-
General
Easy
Question
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 24 x plus c](data:image/png;base64,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)
Hint:
using condition
in the trinomial to find c which makes the trinomial the perfect square. Ans :- c = 144
The correct answer is: c = 144
Given , ![x squared plus 24 x plus c text comparing it with end text a x squared plus b x plus c](data:image/png;base64,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)
Here![a equals 1 semicolon space b equals 24](data:image/png;base64,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)
![b squared minus 4 a c equals 0 text if the trinomial is a perfect square. end text](data:image/png;base64,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)
![b squared equals 4 a c not stretchy rightwards double arrow 24 squared equals 4 left parenthesis 1 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 12 squared cross times 2 squared equals 4 c](data:image/png;base64,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)
∴ c = 144
Related Questions to study
Maths-
Is the expression
factorable using integer coefficients and constants? Explain why or why not?
Is the expression
factorable using integer coefficients and constants? Explain why or why not?
Maths-General
Maths-
Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points
Given four 6 collinear points, make a conjecture about the number of ways to connect different pairs of points
Maths-General
Maths-
Identify the missing terms.
![x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis](data:image/png;base64,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)
Identify the missing terms.
![x squared plus 11 x plus 24 equals left parenthesis ? plus 3 right parenthesis left parenthesis x plus ? right parenthesis](data:image/png;base64,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)
Maths-General
Maths-
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Describe the pattern in the numbers 9.001, 9.010, 9.019, 9.028, ... and write the next three numbers in the pattern.
Maths-General
Maths-
Describe the pattern in the numbers 5, 15, 45, 135, ... and write the next three numbers in the pattern
Describe the pattern in the numbers 5, 15, 45, 135, ... and write the next three numbers in the pattern
Maths-General
Maths-
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,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)
Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeoAAAClCAYAAACTFL43AAAcXElEQVR4nO3dXY8kx5Xe8f+JyKrqnhlyOORIoqjVWqJ3JUuAYWslwVdawFzDhr+EAS30yWz4woZu1pBhA/KNIUuWRForLkWT3FmRCy0pU5z35ky/ZUYcX0RmdVZNv3d1VTbr+ZHN6i5WVmZlRcbJiDgZae7uiIiIyCCFVW+AiIiIHE2BWkREZMAUqEVERAas6v+xu7PN40ePCNUILOIYtP81ylB2+Yv2vyLgOBlr/8m4Z3Dn1gsvMBqPoVd2zlZunK7kGeCeefLpp2xv72CxAivnmet1tunTx3Istp/eM3gCz1i3k82mR++6c3fMbOZvd+fWrVuMx2O6VJ3+a868jpzY2tpid28fQoWZzdSd09ed+Tg4Yb1Qjj8DcwfP5JwI1tbfFhhCIpK7k1KiqqqTX3ypGwJYW6cAKZV9ZWF1NUlXPvuPAC+++CJVVc0G6rff/DX/8d//B55/+Y+pR8+RwwRyw4iayhMA2SIZIyoHTVrJYN8rqhixZhurt/F6m7/8y3/HV//xn4I3OJFsgXCqSspL0DHIlBPGANR7O/zP//Hf+V8/e4PJzc+xP7pOtECV6jUKRU6gwXAaG5GYgBtV3oGd+6Sdx7x46zksGjmM2Lcx63Yqc5ic80wQ3t3dJaXE97//fV599dWFBOr9p5/y3/7qr3j97b9j8vznsTgikonsEzzjGNkiTiAssP5MIbJLRcCpfJ/YbLOzdZ8XblxnPKqIozF1ak+mbTX1truzv7/P1tYWt2/fvtB+PvvKnz1VDSGQUsLdefToERsbG1y7fm1lJzT9AB1jZGtri9FoxA9+8ANeeeWV2UBde8A3bnLr5a/gGy+Q4xjDCb7PyDMAmUC2cpbYffjuw3VnKEc90nsdhzx33LL9Hb2s9c2/11mWWYf1det0Qql8SFizw/6Thzz85B/IXt51ti/mlGx+TRBCRRxtMLl2jc996cvkyfNkItHTucrCWcsap1z2stcXPBPaQF3bGHNjw3fZ+vh98uYG3/oX3+b6czfIAGH0zH5cR10LugsQH374IXfu3FlowLBqQphcZ3zjFp//o69iowl4JtIQ3clmJCIAgbywY9mtImGY14ypqZ884n69x9e+/nW+8o++jBPIRJJnYhVWUhrcnXfeeYc//OEPfPe73+XatWtACZiXv/K546k9SUo5s729zRuvv84rr7zC177+dSys5ljpymcIAXfn/fff5/e///10/8wG6hzIGy9w64/+hOrGS+znCsypqBm1BStbILdn6AeFqj0bxdoOucMfO12bav6545btt8OWtb759zrLMuuwvuk62+62yhJj32fr7kfcu/sxKXelpKtSMqV1d5qDYVoNTV8fYkWoNgjj69z+4h/j125TE0u31TnKwlnLWv+5Va7P2kBd24jMmEBmw3fZ2dnGd0d87Z9+m9ufuw3mRFtsN+tV1XW7hhAwMyaTCR999BExxmnFfdErVS1W5Oo6ceMmL33pVWxyDfdMNMe8nKomq3CcSF7YseyUHoOJZTZDw9a9j3h8/xO+/JVX+fZ3/gzPGasq3FlZIDIzHj58yKNHj/jGN77BF77wBXLOxBgvf+XzX6t76WEJgXt37/Kbt97i5Zdf5jvf+Taxqi5cDs4j5zzdH93v9+/fnw4TzARqDxUpbFKHCSlukKpxaY6nfTIJsBKobW7nDrVJveom56qauEtfXyaGDGkfz0YTx3gck0OveBkloF+gnnAzqEbsW4WPrrFvE2qbEEJcbRN3qetzgmfAaKjINiJ6YmQVPr5Gs/8UjwEPBt52+R6xP9dJCIEYYxk3bn9yznhXaZtdPGhYwKoRjUdy3KRhAtGIwcC78BxxIFhaWN1hBkaizjXkHXKYkOKEHCo8RDwnSInsYCsaBun2/Xg8Zjwez3wHl+6wuNuuP8TIaDSiGpWep65MLFO3L7qTyO7ksb9vZgO1Z1LOkJ1gkRogJbrtzkD2krgw8+m7wpXb3496pPc6DnnuuGX73+dp1ze/7FnXN7/tQ1/feffNRdfnRuORkU0IIdNQUU/LSfsiP0daUxuYOjlDckgYNSMaG5MskrrG+lnL3ln3J6dc9lLXV3oPAJKFcmw6NN6Qc8LIbU6ZEwPEEBWoYVrp9bu/Y4wzXa/zCWdn5g65BlIptxbIbuTUpeU6qX17W2DdYR5KIlQwIg01keQGoZx4uMVy/C3iZOSCUkqkVPKduuB06Q6JuzmltiewDYjuxHYfLls/KPd7d7oADnOBOlhJVAkkQqpLWTMnWulqM8C8dLgcfpoyMOtWQ63s8xqNG8kziVBaDm6lBQwcjE6XgH2ytny5t7+VR7NM9oxZqYg8jsCN2CY6rgsLbXPKy56JlonujMzJNFQhU1nGvNv/0m+9zVeM3bhg9/f5VgDmDTHvMbJEyDUxGJ69DPZY251tpWfSFthqc3Oa3FXoVZtHVLKIumDobVfvqiaiPCooL2V7DlmFta3XfqvVvR1OWME+6md6d3/3y+VsoAYqbwheE7wmmpXuHHemlxiYYyU14ZC1nfA4/7qzLHueZRaxvv6y51lmDdaXzYhESlWU29YEB62TaSuljE+f5nzC3fBQXl3ezsvYbM6EtjyaGcGdSNO7JOn4bT3T5z1qubMsexnry11TqoxRBm+oaIhkzBMViUjCLWAWj1jB+unKY7/7u99quXhiWSbmutShZLzN5jHL0+GKkiNppy+vx72mfUxEzELbai5PG6Gsw8CC4QTofdZVWuw+PyefraMGsU0cXkZhLlCXtk/5aU/Gp23n/s/0TXWuLpTwm8mY5zagHp7h7d6L2cey9l0PUmaMjJFLb0/7mNuTxf4VCJ995Sg0wMlkYvt79xPIa7ZHhsV630HpnY4w/Stg4HbaA+HUa+yOD9rHZ+rm+VwIuVJmx6gxkkWyVUAkUQGh7cLMZIzECNrfwrRrrRQKZX2vadY3ECwTSnpTW031k5i60z87fX1hB8GnvL6rhBKRph2iKWWy9A6tS9Z3wNorMLr96YTShrZIsmr6CIba08sUaKya/riNKD3S5br30Es8cOygq/WCx3KAcoGkp3KJZBuoZ6Y5GcikJ3I+zwTqUoDs4DIsK2fs1iYHZTOMgHtoC2F/+eMf5193lmXPs8wi1tdf9jzLrMP6vPvvtIvaCc7BpA6Zs7cg2uDbLdats6vGzGnH+QJu8Vxl4Tz786zLXsb6ur6G7njNlHyA3F7P3p0mneG0SBYhlCtisgXcyrXLbl6GcSh1antai2PTk1G46LFsbW8WBAfL5djoerZ8+ipQeSi6I8Pnfoa6d+bGqJ3o7WHuXqIzDu2YYMQxbzhH/q58xiWzduKFhpLXwDRh23Bwm46fnZbRVnLW/mWBbIFENW1HsHZl8aAtXbo6y2M3HABNl87XVjzrtG9Wzct4NJmYM5ab9gqacgrV/+YW+b1415LygHtFqda7MNS0aw2Yr+kMdcftapv7GahnJl0t2zs7whWm/687f9fhL/NC6V5rh0P605rY9Jz+9LplD850y0i40wXudQzSR+taU9m8ba+5jtIV6OrP0A7VdD0gz7zoUvqhjTIi3g14OLPX+clVNRuonelUZt2lH1D+PrhQRmRWVzK6stP/Aabl50xlZ7pM759D3r+/nvXQPxZ7++WQ/dO9WoqZ8rjoMmRHvS8zdef0twV+LQfH3yHb0HueBa/3LLrLj4Zy3Pbn1u7/zF8mtczt6a93fh/NBmp79tIF2ukZu1Z0/78iHeuXk0Mve7HuiqJTlp1uRM26RaeXl8z8rGH/jvX2zcw/z1xydPAdyOVfnnXY+5odHBvl34M6dWHaoaFpD+7c8dE+OS0jq3I5l8R9trbpqMuz1nTQQkRE5GpQoBYRERkwBWoREZEBU6AWEREZMGV9y4WtLOs7Hzy/PpT1fV7K+lbWd0dZ37KWVpL1Hay9m9t6lUZlfZ+Psr6V9T30bVLWt4iIyBWkQC0iIjJgCtQiIiIDpkAtIiIyYArUcnUpoVlE1oACtYiIyIApUMvVpSuPRGQNaMITuTBNeLJMmvDkvDThiSY86WjCE1lLmvBkeTThyflowhNNeDL0bdKEJyIiIleQArWIiMiAKVCLiIgMmAK1iIjIgCnrWy5sZVnfA8geXT5lfZ+Xsr6V9d1R1respZVkfVu/ZK4PZX2fj7K+lfU99G1S1reIiMgVpEAtIiIyYArUIiIiA6ZALSIiMmAK1CIiIgOmQC0iIjJgCtQiIiIDpkAtIiIyYJqZTC5M96NeJs1Mdl6amUwzk3U0M5msJd2Penk0M9n5aGYyzUw29G3SzGQiIiJXkAK1iIjIgClQi4iIDJgCtYiIyIAp61suTPejXiZlfZ+Xsr6V9d1R1resJd2PenmU9X0+yvpW1vfQt0lZ3yIiIleQur7lwtT1vUzq+j4vdX2r67ujrm9ZS+r6Xh51fZ+Pur7V9T30bVLXt4iIyBWkQC0iIjJgCtQiIiIDpkAtIiIyYMr6lgvTbS6XSVnf56Wsb2V9d5T1LWtpJVnfus2lsr7PQFnfyvoe+jYp61tEROQKUqAWEREZMAVqERGRAVOgFhERGTAFarm6lNAsImtAgVpERGTAFKjl6tKVRyKyBhSoRUREBkyBWkREZMAUqEVERAZsLlA7kGA6K631fs8YGVOqrRzCpxMYBvDDBo/PUW7c2ncu5Q+MTMAJOIZ1RXONGRnIZU5nA/Pue+gfy7I0DuYO3vte5l+w8K+kHBcHtbNPn1cix2fD7FzfM9PGHxQxxzHPHFSaXcUsAk4kMwIPuDe4h+mNXeCcN+Vo5ygOZPCMmdFgZCY0vkn2MSFHgjtu6xWMfDqvs1ORwBNu3lbWFTiEJuEGHjKYOs7gsm/KYbiXGzqYN0RqzGqaUJEskDwSPBHI7WlnvPgHajmBzAjzTLY9srU3AHFwKtwz7rk9f1tNWdBNOU7entPflAMjh0C2UA5uM7DQVrKBcoYY2nCtszUpnED/NgNmfvhNOboAc9piM3e8mBluESxihK5dXcrrGsl+0BXmgFnALdBYRbaqHKtWYaRDT45WfSOEVbnsm3K4BZJVZIu4GW6hnDxZmJ5Y4V7+3wJHHd0CeMAsgzlMHw9upUR3gyXdlGPQ23TUTTlmAnUm4BZxSmXo0+LVBeY2SJsCtfS4Ez0RvSZ6g5EoQyVzzlVkZhcw99Iy8ZrgDYFAM7291nqw+QEoZxoQkgVqC+QQy9DAIQFhvW4LujzZIFkkWSQTS6OmG4ow2kZOPqhPF1Vmzcux4DWBRPCM+Wyfp7drXdV3f9rgd1nbd5bgO8TjYyZQWzniCeaYJyIJIxM9UdFA27Ie4OeQlTIgEdmnoiaS26GSvMD3Pxh3DSQqq6nYJ3vVVobrpBuCOhjDD5ba8WqDYBDAPK7VCcxJ+pX15bWaShs2WMZJVBzcfzp6Kbtd9/fixqoN90TlNSOr2WvLQvcRLQTMM6G9HeaqzLdYD/sOltWaPWxbVt2iPq58zgTqQGaUt7H9Twn716ioSqHzRKTBzEmE0uLm4Cvvpy74MY/0Xschzx237OzZ4XLWN/9eZ1lmHdbXX6d7wHKD2z6+v0O0zMLO6KxbB7g3mO+T622oRgQ3Qnvf37OWhbOWNU657GWvrwRpn+6UEqidqtnG0y7N7g6725MSuOcO+CG2FpahP/ZoZuzv75NzXuj+MHdC3ifmPWzvCWZG9G6Aht4YtbU9l4s5lsHwnMvJgdXQ7IAn6nqf3d0dck7T8ddVXegTQqBpGtydvb09dnd3e9t04DLGrvtBuL+eEAJ7e3u4O3Vds729vbIx6pPK50ygjp6oH9/lt3/zBvvVDbwaEYDoDbHNIE1UZALgdDk8CtTDCJwrC9RmZBvhqWFkNc32Y2JqejGia1mHuaWPMf0wNl0mp4a93W22P33Ee7/5NcljSZiy1QbO5a7PSw7A9MUlaAfLNDvb5P1tfvxf/wuj4MSqos6z77augRpKsMi5JCY+fvyYra0t6roGDgJECOcPZF7vkbYfsfPwY+68+QtqG5G8zfehHbKhHaO2iPuCAnU7Hm44pD1irnl8/y4//dnPeOf/vkVuGmIVAcdXlEwG8PDhQx48eMCPfvQjqqoihHBoebyMQD3/d1cW9vb2+OSTT9jd3eV3v/vdQtd7Vt02hRC4e/cudV1Py+dsi9oTL16L/JOvvoJPniOHisrKWWLwBBhNm6wSLM+WJllbJYlmQs6JUXC2HnzC7//h78leTu6mPdOnjNHPaqskg1EMXN+s+NOvvoKFEcFKrvNasTYVaVqhOUbm3h8+5v69bZ7bqKiCMd7cpKbiAjv+M8HdybmUka51Vdc1T58+nQbmRbSkosFmdF68PuJPXv0SHkb4tHSWQG34NLAuqv50C6QwajPOM3s7T7iz84jNzQ2ev/k8nlN70uwEGy9mpWeUUuLp06dMJhNu3LhxZKDugugizfec9MtAVVVMJhM2Nze5efPmSrq958tnCIGnT5/y5MmTI5LJUs1LN2/wr177c174/JdIuaQ/RG+YXsdqFZiVQK1ILZQwkTyS3ali4Ld/e4f//J/eJ+dycrcoIRiTScXtF5/n3/zFn3Pz5k3AiZYWto4rwed/cQiBn//0p/zmzTf5l6/9BS/dfqkcsWGELs86qAy7Svrtt9/mJz/5CTEu7jKpEAKbGxu88oXP82//9WtsbD5Xhh7aQ8A8g3UnlbawQ8MJ1B4gO7EKfPDB33P/7kd861v/nD/71j8r2eBtN/OqArWZ8eMf/5g7d+7w2muvcfv27SNb05cRqPsBuCsLVVVx7949fvjDH/LNb36T733ve0e28i9bt03dZ//lL3/Jr371q2n5nE0mCxEPI6rRhBgDblAFCBm6QB0tlm4Wy9Pn1Pk9lM7oVXV+B2I23Esw3ZwEyJkYwtw2XUy5NjuBN0zGgXFVsmjN4ik/X/cZOeG1w+78Bp/brQ4WidWoDFeNJ8TJZhmgcpt5p3VlZjMVYQjh0LHLi3AL1BiNB+J4gziqpusuL+gFalvksRyI2UlkqlixOamIZsQA4/GYku2d2ncyVjFOHUKgqiqqqmI0GlFV1ZFj1IsWYzx0PWbGaDQihEAIgRjjygJ1v3x2JyvdDzxzeZaxk6BxSnelOU1yKoMyAmJtJxsE73/h/Z0w3895XL/n/HOnXXZZ6zvsvc7z2s/q+tq/HVIq3Ui44zlT1/u9MerucqLMmcap54RQTgSqKkBOuJckGQ9dq+g8ZeEsZe20y17y+ro47QcVe4xGnaHO0BBpiLiXY1eB+iAA9Fts3XP9bscLrcMiySq8GlMnZ+Te9jLFduTGwEM5ZMrgcrvkxY5l84ynhtBufzDw1OA5t5OddBN5ZEKwQ957OVJK027orgU536OxrK7n/klCt12LPnE76/Z0um3oPzc74UmsCJNNCIFpW8gghPbMsPubErhVBQiUk7rg7dShZhArqvEEpi3dUlrK8Nwpy4z1fzloOZQJ8gJuhrWT8qx60oRlK8lz863qMrYVLWLtGHbp6lzRRg5M12Lp9Cvqhbaquyz8YMQQCO4cxMaDOnOhX4uBWTVNWTALhBDLo0XK5WHdJETnP1G+qBjjTNLeKgNjt/6uFdv9Dcs7WThJfwhgtkXtkNqpH0v16szHY4VnmWfQBs3yR3YjeXk8eMXF12JU0E4kAREswAq6qVZtWtXb/PNtq8nbY7f3anlWv2I+rBv2PO9nbZd2aM9Zl6Nklrvnadlwh2CB0M4smT1jF+jNWqShBMLOEK+EmD+JmQnU5Wxntpuo/yhylGfnqV1s+TlqrmCVzeKw/SOzLnWu70t837Osf347+n/3X7Nsmuv75O059VzfR815OrQzIBmew+ZPPqz8XKQsXdYczZ8V2jfHu+y5vlddPo+aJ/qwbVqFIZbPoW3TUd+hrtsQEREZMAVqERGRAVOglqVZdTeXiMhVpEAtIiIyYIdkfT+bIagMUjnJcRmLyvq+fMr6PpmyvpX13VHWt6yl02R9X/Ws2qHTvjmesr6V9T30bVLWt4iIyBWkQC0iIjJgCtQiIiIDpkAtIiIyYArUIiIiA6bLs2QhdHnWaunyrJPp8ixdntXR5VmylnR51upp3xxPl2fp8qyhb5MuzxIREbmCFKhFREQGTIFaRERkwBSoRUREBkxZ37IQyvpeLWV9n0xZ38r67ijrW9aSsr5XT/vmeMr6Vtb30LdJWd8iIiJXkAK1iIjIgClQi4iIDJgCtYiIyIApUIuIiAyYArWIiMiAKVCLiIgMmCY8kYXQhCerpQlPTqYJTzThSUcTnsha0oQnq6d9czxNeKIJT4a+TZrwRERE5ApSoBYRERkwBWoREZEBU6AWEREZMAVqERGRAVOgFhERGTAFahERkQFToBYRERkwBWoREZEBU6AWEREZMAVqERGRAVOgFhERGTAFahERkQFToBYRERkw3Y9aFkL3o14t3Y/6ZLofte5H3dH9qGUt6X7Uq6d9czzdj1r3ox76Nh31HapFLQuhFvVqqUV9MrWo1aLuqEUta0kt6tXTvjmeWtRqUQ99m476DpVMJiIiMmAK1CIiIgOmQC0iIjJgCtQiIiIDpkAtIiIyYLo8SxZCl2etli7POpkuz9LlWR1dniVrSZdnrZ72zfF0eZYuzxr6NunyLBERkStIgVpERGTAFKhFREQGTIFaRERkwJT1LQuhrO/VUtb3yZT1razvjrK+ZS0p63v1tG+Op6xvZX0PfZuU9S0iInIFKVCLiIgMmAK1iIjIgClQi4iIDJgCtYiIyIApUIuIiAxYddz/XHXqvFwdq7r0Q2X0cNovz1rmPlnFpT5HrWsIl2YdZgiXQZ303LKcVF4ODdRDuJ5MrhbjoKwso9yobD5rqBXyEF3qPhrEtcHDO0aGWD6HuE3w7Hc3G6jd2Xr8mDdef4PnnnuOlBoAQohL20C5mnLOYBBC4O7du5cy81DOmd3dXR48eMAvfvELNjc3wR0Y1kG2CiEE7tz5Wx4+eMgbr7/OjRs3gOFVQKszWxY//PBDtra2aJpSx+WcMTNCOP9oYGoadnZ2uPvJJ/z8f/+c0Xg0v9rL4Y5Tzg8sBB4+eMCnW5/y3rvvsr+3hzvklLAQVlYezIwP3n+fx48e8X/eeIPr16+Ts19of1+EeyZY4NMnn/LowUN++3e/JYZIMFvKVza3NdN1dnXmBx98wJMnT0gpAXOBemNjg43xhPfefZcYIymlCxdeWQ8pZxwnxkhd19y6dYvxeAws7sw+pcRkMmE0GvHWW29RVRU205Zfb7u7u8QQeO/d96bHrI7dtvJzJ8TS4GiahtQ0bEwmmNk0SHeP5y2vOSeubWziKfM3b765tLqzP/0llONkPBrz8f/7mEcPHgJGkxpijCs9cdve3iaGyLvvvAuw0thy8J2XOuvhgwf8+q//eiX7x3uBOucMlDI6mUymgdu81+x5/Ogx9+7eZXNzs+zAdqO9XVjkUG03W24ri6ZpqOuaL37xi6XVuyApJR4+fMjW1hbj8ZgYY2mxaF5rMKOpa1JKjEajaVDSvmkZmJWg4O7knNjZ2eHltoyGEMg5Ey7Q6kxN4t7de2xvP2U8mRBDKBXwMr6D3ja7O01dE2KkasuBu5eOp1UVh7Z8ujvVaARQWq+rKp9mpSfCoa73iTGW+mQl28IzwyUpJfb396d16EygFhERkWFRv5iIiMiAKVCLiIgMmAK1iIjIgClQi4iIDNj/Bw3Z0LsXWbxqAAAAAElFTkSuQmCC)
Maths-General
Maths-
What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
What is the factored form of
![6 x squared minus 60 x plus 150](data:image/png;base64,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)
Maths-General
Maths-
Maths-General
Maths-
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
The area of a rectangular rug is
. Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?
Maths-General
Maths-
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)
Maths-General
Maths-
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Level: Medium
i)![100 minus 16 y squared](data:image/png;base64,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)
Maths-General
Maths-
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)
Maths-General
Maths-
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,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)
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.
![x squared minus 20 x plus 100](data:image/png;base64,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)
Maths-General
Maths-
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?
Maths-General