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How do I apply the four operations to Fractions?

When using the four operations (addition, subtraction, multiplication and division) on fractions there are specific methods for each. Multiplication and division are very similar. In order to multiply two fr...
JP
Answered by James P. • Maths tutor
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Solve the equation sin2x = tanx for 0° ≤ x ≤ 360°

sin2x = tanx Take everything to left hand side, so LHS equals 0 sin2x - tanx = 0 Recall double angle formula : sin2x = 2sinxcosx, also notice that tanx can be written as sinx/cosx giving us: 2sinxcosx - sinx...
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Answered by Shea M. • Maths tutor
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A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.

Firstly, we define a tangent as a straight line touching a curve at 1 point only.We can describe a straight line using this linear relation:y - y 1 = m.(x - x 1 )We know a point on this line A(-1, 14) = (x 1...
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Answered by Joshua P. • Maths tutor
4958 Views

Solve the simultaneous equations;5x +y = 21 and x-3y=9

Two ways of doing this, substitution and elimination. Could teach both so students choose which they prefer Substitution;change the second equation into x=3y+9 then substitute it into the first equation wher...
KO
Answered by Kameel O. • Maths tutor
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I am struggling to solve algebra equations. I was given the following equation to solve at school and am unsure how to approach it : 4(x + 3) = 2x + 8

4(x + 3) = 2x + 8The first step in solving this equation is to expand the brackets on the left hand side. A bracket means that the contents of the bracket should be multiplied by whatever is outside of the b...
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Answered by Katherine T. • Maths tutor
3770 Views