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Maths
GCSE

Johnny take 4 hours 50 minutes to drive 213 miles to Manchester. He then takes the train to Liverpool. Liverpool is 37 miles from Manchester and the train travels at 90mph. Calculate Johnny's average speed for his total journey in mph.

Total journey average speed = (total distance travelled ÷ total time taken).Total distance travelled = 213 miles + 37 miles = 250 milesTotal time taken (hours) = 4 + (50÷...

SW
Answered by Steven W. Maths tutor
2626 Views

The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

L1 is in the form y=mx+c where m is the gradient, 3.L2 can be rewritten as 3y=9x-5, then y=3x-(5/3) to reach y=mx+c. So, the gradient of L2 is 3.Therefore, both lines are parallel.

JW
Answered by Joe W. Maths tutor
4331 Views

Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of...

RR
Answered by Ruby R. Maths tutor
3593 Views

What is a good rule to find angles in a right angled triangle?

In any right angled triangle, for any angle:The sine of the angle = the length of the opposite side                        the length of the hypotenuseThe cosine of the angle = ...

SF
Answered by Shirley F. Maths tutor
2699 Views

2x + y = 18; x−y=6

This is an an example of simultaneous equations, no single equation can give us the answer. Were going to use the substitution method. We will call this equation 1: 2x + y = 18, and this equation 2: x-y=6...

TA
Answered by Tamara A. Maths tutor
3729 Views

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