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Change the subject of the formula F=(t^2+4b)/c to b.

b = (Fc-t^2)/4
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Answered by Mayez H. • Maths tutor
6764 Views

A line passes through the points (-2,1) and (4,4). Find the equation of the line in the form y = mx + c

In the form y = mx + c, m stands for the slope (or gradient) of the line, and c for its y-intercept. Since we are given two points that are on the line, we can figure out its slope by looking at the vertical...
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Answered by Filip B. • Maths tutor
4287 Views

200 pupils are taking a school trip. Some are flying, some are taking the bus. There are three times as many boys going as girls. One third of the boys going are flying. How many boys are getting the bus?

x is number of boys. y is number of girlsx + y = 200x = 3y4y = 200y = 50x = 1502/3 * 150 = 100 boys getting the bus
JC
Answered by Jonty C. • Maths tutor
2912 Views

Express 3/(x+1) + 4x/(2x+5) as a single fraction.

Multiply both numerators and denominator by the opposite denominators to get 3(2x+5)/(2x+5)(x+1) and 4x(x+1)/(2x+5)(x+1). Now the denominators are both equal so we can combine into one fraction and add the n...
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Answered by Euan S. • Maths tutor
4755 Views

Integrate f(x)=lnx

Integration by parts formula is given in all A level maths formula books however would be of use to memorise Formula: INT(uv')dx= uv- INT(u'v)dx Hint: write lnx as (1).lnxlet u=lnxhence u' = du/dx = 1/x let ...
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Answered by George N. • Maths tutor
3927 Views