Formulae

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Leaving Certificate Maths Flashcards on Formulae, created by cian.buckley on 19/09/2013.
cian.buckley
Flashcards by cian.buckley, updated more than 1 year ago
cian.buckley
Created by cian.buckley about 11 years ago
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Resource summary

Question Answer
\(y=mx+c\)...\[y-y_1=m(x-x_1)\]...\[ax+by+c=0\] equation of a line
\[\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\] distance between two points
\[(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\] midpoint of a line segment
\[\frac{y_2-y_1}{x_2-x_1}\] slope of a line
\[\frac{1}{2}.b.h\] area of a triangle (1)
\[\frac{1}{2} | x_1.y_2 - x_2.y_1 |\] area of a triangle (2) one point must be (0,0)
\[d=\frac{ | ax_1+by_1+c | }{\sqrt{a^2+b^2}}\] perpendicular distance from a line to a point
\[d=\frac{ | ax_1+by_1+c | }{\sqrt{a^2+b^2}}\] perpendicular distance from a line to a point
\[c=(\frac{hx_2+kx_1}{h+k} , \frac{hy_1+ky_2}{h+k})\] internal division in a line segment
\[(\frac{x_1+x_2+x_3}{3}),(\frac{y_1+y_2+y_3}{3})\] centroid of a triangle
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