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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 -> y=12-7 -> y=5 Point = ( 6 , 5 )
IG
Answered by India G. • Maths tutor
4502 Views

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

Check that your triangle is a right-angled triangle. Remember, you can only use pythagoras theorem or SOHCAHTOA on right-angled triangles. Label the sides O, H and A: opposite (the angle), hypotenuse (longes...
CS
Answered by Camilla S. • Maths tutor
12449 Views

Why does the quadratic formula give solution to quadratic equation

Let the quadratic equation be of the form: ax 2 + 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 = 0. Then rearrange equation: a(x - b / 2...
TT
Answered by Tu T. • Maths tutor
3769 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 We work that out first because t...
JT
Answered by Jasmine T. • Maths tutor
3412 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
9420 Views