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Factorise 6x^2 - 12x

common factor is 6x therefore it is 6x(x-2)
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Answered by Huy H. • Maths tutor
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express z(2+i)=(1+2i)^2 in the form z=x+iy

rearrange gives z = [(1+2i)^2]/(2+i)expanding (1+2i)^2 gives 4i-3 therefore this becomes (4i-3)/2+i multiply that by the conjugate (2-i)/(2-i) to give (11i-2)/5therefore z= -2/5 + 11i/5
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Describe the Little Rock Nine event and explain whether or not it was successful.

in 1957, 9 African American students were enrolled in a former segregated school in Arkansas. The 9 students were not well received as they were faced with a mob of angry white American students who proteste...
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Answered by Huy H. • History tutor
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Describe the differences between erosion and weathering

Weathering occurs in situ where physical, chemical and biological processes such as thermal stress, oxidisation and plant growth (respectively) wears down the rocks. Whereas erosion wears down the rock with ...
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Answered by Huy H. • Geography tutor
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a curve is defined by y=2x^2 - 10x +7. point (3, -5) lies on this curve. find the equation of the normal to this curve

equation of tangent is y - y1 = m(x-x1). differentiating y gives us the value of m. so dy/dx = 4x-10. we know x is 3. therefore, dy/dx = m = 2 but we need equation of the normal, which is y-y1=(1/m)(x-x1). 1...
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Answered by Huy H. • Maths tutor
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