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Looking at the diagram, work out the angle of a) x, b) y, and c) z

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the...

Answered by Emma G. • Maths tutor

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y = 2/x^3 find and expression for dy/dx

y = 2 x^-3 simpler to differentiate in this form dy/dx = (-3)(2 x^-4) multiply by power out the front and subtract one from the powerdy/dx = -6/x⁴ simplified version of abov...

Answered by Rufus B. • Maths tutor

3144 Views

Find the co-ordinates of the turning point of the line with equation y = x^2 + ax + b that passes through (1, 47) and (2, 60)

y = x² + ax + bWhen x=1:47 = (1)²+ a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2)²+ a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equati...

Answered by Henry M. • Maths tutor

2931 Views

make into a cartesian equation= x=ln(t+3) y= 1/t+5

e^x= t+3 t= e^x -3therefore y= 1/e^x-3+5y= 1/e^x+2

Answered by Ryan P. • Maths tutor

5207 Views

John wants to invest £100 into a savings account for 15 years. If he invests in saving account A he will receive 3.5% simple interest and if he invests in savings account B he will receive 3% compound interest. Which account should he choose and why?

100 + (3.5 x 15) = 152.50 100 x 1.03¹⁵ = £155.80 Therefore he should choose savings account B because after 15 years he will have gained more money through interest than in account A...

Answered by Victoria D. • Maths tutor

2993 Views