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Maths
GCSE

A right angled triangle with sides 7cm and 11cm, find the hypotenuse

General rule for any right angled triangle: a^2+b^2=c^2, with a and b being the shorter sides and c being the hypotenuse (the longest side). Using the equation: a=7 and b = 11 and c=hypotenuse we want to ...

GF
Answered by Gwen F. Maths tutor
4251 Views

Make x the subject of the equation y=(3x+5)/(4-x)

(1) Get rid of the fraction by multiply both sides by (4-x), we now have y(4-x)=3x+5. (2) Expand any brackets, so 4y-py=3x+5. (3) Rearrange to get all the x to one side: 4y-5=3x+px. (4) Factorise x becaus...

GF
Answered by Gwen F. Maths tutor
11996 Views

A and B are two points. Point A has coordinates (–2, 4). Point B has coordinates (8, 9). C is the midpoint of the line segment AB. Find the coordinates of C

Think about the x-coordinate and the y-coordinate separately. Starting with the x-coordinate:

  1. Find the difference between the two x-coordinates -2 and 8, which is 10.
  2. to find the mid...
GF
Answered by Gwen F. Maths tutor
20449 Views

What is red shift?

You see colours due to the length of a wave of light. When a distant galaxy is moving away from us the wavelength increases due to the Doppler Effect (which you may have studied using the sound of a passi...

CL
Answered by Carys L. Maths tutor
3822 Views

Solve the two simultaneous equations: 2x - 5y = 11 and 3x + 2y = 7

Step One: Write the first equation and then write the second equation underneath. Label the first equation A and the second equation B. You can now see clearly that each equation contains an x component a...

PL
Answered by Priya L. Maths tutor
8518 Views

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