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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-y₁)=m(x-x₁) where (x₁,y₁) are the coordinates of a point on the line and...

Answered by Zsofia S. • Maths tutor

7035 Views

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

Answered by Joe M. • Maths tutor

2831 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

Answered by William F. • Maths tutor

4113 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 reciproca...

Answered by Aqeel A. • Maths tutor

4376 Views