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Maths
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How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?

First label the triangle to show the opposite, adjacent and hypotenuse. Then you can use SOHCAHTOA to determine which trig function is needed. If you need to work out the opposite you use the sin function...

Answered by Lucy S. Maths tutor
2535 Views

ForA=2x^2 –18x+80 (i) find dA/dx , (ii) find the value of x for which A is a minimum

dA/dx = 4x -18 : multiply the number before the x (coefficient) by the power and minus 1 from the power.4x = 18 so x = 4.5 to find the minimum or maximum point, make the differential equal to 0 and solve ...

Answered by Dan A. Maths tutor
5320 Views

Solve x^3+20x^2=125x

The expression can be rearranged to equal 0 by taking the 125 to the other side. To do this the opposite thing has to be done, so 125 must be subtracted to get x^3+20x^2-125=0 . All parts in this function...

Answered by Isabella Z. Maths tutor
2496 Views

Expand (2x + 3)(x - 1)

everything in the first bracket should be multiplied by everything in the second individually. Then you should combine common factors to find the final answer.Starting with the first part of the 1st brack...

Answered by Sahil M. Maths tutor
7811 Views

the line L goes through the points A (3,1) and B(4,-2). Find the equation for L.

First we need to consider what a straight line looks like:
y = mx + c (if we get something different we've gone wrong somewhere)one way to get the equation is using a point (general point is (x1...

Answered by Will M. Maths tutor
8296 Views

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