063. GCSE Maths - How to Disprove a Statement by Counter Example - Proof Part 1 04:41 064. GCSE Maths - How to Prove Algebraic Identities - Proof Part 2 #63 04:34 065. GCSE Maths - Common Straight Line Equations You NEED TO KNOW #64 ...
Let’s now construct a line that is perpendicular to the line y = x; we can do this by finding the perpendicular bisector for the line between the points [Math Processing Error](−3,−3) and [Math Processing Error](3,3): The equation of a straight line that is perpendicular to ...
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A tangent to a circle is a straight line which touches the circle at one point only. The tangent line is always perpendicular to the radius at that point. To find the equation of the tangent to a circle at a given point, Find the gradient of the radius at that point. Find the grad...
Find the equation of the line that passes through the following points. (a) (0,0) (2,3) (b) (0,0) (−3, −4) (c) (0,0) (−2,1) (d) (1,0) (−3,1) (e) (1,0) (2, −1) (f) (1,0) (−1, 2) (g) (−1,0) (1, 4) (h) (−3, −2)...
Write a programme to find the equation of a straight line if the coordinates of two points on the line are given. Write a programme to solve a pair of simultaneous equations. Write a programme to find the coordinates of the maximum/minimum points of a quadratic function. Write a programme...
It is a good idea to label each equation. It helps you explain what you are doing − and may gain you method marks. This value of x can be substituted into equation [1] or [2], or into the expression for y: y = 2x − 1. ...
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a b b 360° a c c a + b + c = 180° a + b + c = 180° 154 NELSON MATHS FOR WESTERN AUSTRALIA, BOOK 3 Vertically opposite angles Alternate angle formed by a Corresponding angles formed formed by intersecting straight line crossing a pair of by a straight line crossing a straight ...
geometric progressions • Relate ratios to linear functions • Interpret the gradient of a straight line graph as a rate of change • Know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°,...