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Show that the recurring decimal 0.0151515..=1/66 (4H)

0.0151515..=x15.151515..=1000x999x=15.1x=15.1/999=1/66

JH
Answered by Josh H. Maths tutor
5727 Views

(a) The equation of a line L is 2x-3y=6. Find the gradient of L. (b) Find the equation of the line which is parallel to L and passes through the point (6,9)

(a) y=mx+c3y=2x-6y=(2x-6)/3(b) y=mx+c9=(2/3)x6+cc=5y=(2/3)x+5

JH
Answered by Josh H. Maths tutor
9473 Views

How do we expand (3y-2)^2?

(3y-2)^2=(3y-2)(3y-2)You're basically multiplying 3y-2 by itself.Let's start with the 3x in the first bracket.3y x 3y + 3y x (-2)=9y^2-6yNow let's move on to the -2 in the first bracket.-2 x 3y + (-2) x (...

SL
Answered by Sum-Ping L. Maths tutor
4252 Views

Solve the simultaneous equations x+y=8 and 3x-y=4.

Notice that y has the same coefficient (ignoring the sign) in both equations. So, we will use the elimination method. The elimination method means that we will combine the two equations to eliminate the y...

FS
Answered by Fiona S. Maths tutor
5544 Views

Make x the subject of the formula: y=(x+5w/2)^0.5

First recognise that (x+5w/2)^0.5 is the same as the square root of (x+5w/2). Then square both sides of the equation to get: y^2=(x+5w/2).Multiply both sides by 2 to eliminate the fraction from the RHS: 2...

CW
Answered by Charles W. Maths tutor
3783 Views

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