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ABC is an isosceles triangle such that AB = AC A has coordinates (4, 37) B and C lie on the line with equation 3y = 2x + 12 Find an equation of the line of symmetry of triangle ABC. Give your answer in the form px + qy = r where p, q and are integers (5

As we know that AC = AB, then it must be the case that BC is the base of the triangle (because it is isosceles). Therefore, the line of symmetry of the triangle ABC goes through the point A, and is perpendic...
SS
Answered by Sanjay S. • Maths tutor
18826 Views

(i) Identify the ablative absolute and (ii) translate the sentence into good English: 'Urbe capta, hostes cives occiderunt.'

(i) Urbe (3rd declension feminine noun) capta (past participle passive in agreement with urbe). The ablative noun and participle are 'cut off' from the rest of the sentence - if we removed the phrase from th...
SM
Answered by Samuel M. • Latin tutor
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A stone is thrown horizontally at 5m/s from a platform 10m above ground. Find time till impact with ground.

Use SUVAT for constant vertical acceleration. Solve for t. S = -10U = 0V = -A = -gT = tS=UT+(AT^2)/2t = sqrt(20/g)
MH
Answered by Mathew H. • Physics tutor
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Convert 0.22222222... (recurring) into a fraction

x=0.22222222...10x= 2.222222...10x-x=9x=2x=2/9=0.2222222... x=2/9
RG
Answered by Rachel G. • Maths tutor
12815 Views

Integrate tan(x) wrt x

Use substitutionlet u = cos(x)du = - sin(x)dxint(tan(x)) dx = int(sinx/cosx) dx = - int(1/u) du = - ln(u) + c= ln(secx) + c
MH
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