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Find the point of intersection of the lines y=2x-7 and 4y-2=3x

Substitute y into 4y-2=3x

4(2x-7)-2=3x   ->   8x-28-2=3x     ->      8x-3x=28+2    ->   5x=30    ->    x=30/5    ->    x=6

subsitute x into y=2x-7

y=2(6)-7    ->    ...

IG
Answered by India G. Maths tutor
3549 Views

How do I know when to use sin, cos or tan?

  1. Check that your triangle is a right-angled triangle. Remember, you can only use pythagoras theorem or SOHCAHTOA on right-angled triangles.
  2. Label the sides O, H and A: opposite (the an...
CS
Answered by Camilla S. Maths tutor
9000 Views

Why does the quadratic formula give solution to quadratic equation

Let the quadratic equation be of the form: ax2 + bx + c = 0.

Now by completing the square ( which can be done numeorous ways) get: a(x - b / 2a)2 - a(b / 2a)2 + c =...

TT
Answered by Tu T. Maths tutor
2861 Views

At the performances last month, a total of seven-hundred and forty-four thousand, eight hundred and one drinks were sold at the theatre's restaurant bar. The manager wants to know how many drinks were sold, rounded to the nearest thousand drinks.

for an MCQ 11+ (or warm-up 13+ Maths) paper, possible answer options: a) 750,000   b) 744, 000   c) 744, 800   d) 745, 000   e) 700, 000 So, the actual number in figures is: 744, 801

JT
Answered by Jasmine T. Maths tutor
2244 Views

Differentiate y=(3+sin(2x))/(2+cos(2x))

dy/dx = (4cos(2x) + 6sin(2x) + 2)/(2+cos(2x))2

MB
Answered by Matthew B. Maths tutor
8293 Views

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