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The line, L, makes an angle of 30 degrees with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4).

What is the question asking us? -To find the equation of a straight line, and to do that we need two pieces of information, what are they? 1. the gradient of the line and 2. a point on the line. Now from the...
AS
Answered by Amy S. • Maths tutor
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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...
SM
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...
JP
Answered by Joshua P. • Maths tutor
4888 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
5468 Views