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There are two lines in the x-y plane. The points A(-2,5) and B(3,2) lie on line one (L1), C(-1,-2) and D(4,1) lie on line two (L2). Find whether the two lines intersect and the coordinates of the intersection if they do.

We first want to find the equations of the lines. The general equation of a line is: (y-y 1 )=m(x-x 1 ) where (x 1 ,y 1 ) are the coordinates of a point on the line and m is the gradient of the line. In case...
ZS
Answered by Zsofia S. • Maths tutor
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a). Solve x-4=13, b). solve 7y=35 c). solve 3w-9=27

a). x-4=13 13+4=17 x=17 b). 7y=35 35/7=5 y=5 c). 3w-9=27 3w=27+9 3w=36 w=36/3 w=12
JM
Answered by Joe M. • Maths tutor
3565 Views

Express 2Cos(a) - Sin(a) in the form RCos(a+b) Give the exact value of R and the value of b in degrees to 2 d.p.

R = 5 0.5 b = 26.57 degrees
WF
Answered by William F. • Maths tutor
5229 Views

How to find the reciprocal of a graph, such as y=cos(x)?

To find the reciprocal of any graph, first consider the key points, in this case: (0,1), (90,0), (180,-1), (270,0) and (360,1). Since we are finding the reciprocal in the y-axis, we can find the reciprocal o...
AA
Answered by Aqeel A. • Maths tutor
5723 Views

log8(5) = b. Express log4(10) in terms of b

log 8 5=b using the base change rule log 8 5 = log 4 5/ log 4 8 log 4 8 can be solved: log 4 8 =x 4 x =8 2 2x = 2 3 2x=3 x= 3/ 2 Therefore we can write: log 8 5 = log 4 5/( 3/ 2) =b log 4 5 =( 3/ 2) b [1] To...
BM
Answered by Beatrice M. • Maths tutor
10702 Views