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What is the magnitude and direction of the resultant force of 3N horizontal and 5N vertical?

Magnitude: Find the square root of 3^2+5^2=root of 34=5.83N (3sf) Direction: Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The direction will be th...
RH
Answered by Rhiannon H. • Maths tutor
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What is the gradient of the curve 3x^3 + 7x at the point x=3?

The gradient or the slope of a curve is defined as the change in the y direction over the change in the x direction (dy/dx). In order to calculate a formula for the gradient of a curve we must differentiate ...
JK
Answered by Junaid K. • Maths tutor
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Find the values of k for which the equation (2k-3)x^2- kx+(k-1)=0 has equal roots.

For a quadratic to have equal roots, the value of the discriminant (b 2 -4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a and b are c...
HK
Answered by Henry K. • Maths tutor
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How do I rationalise the denominator? (Surds)

If you have a fraction where the denominator is a surd, such as 5/(1+sqrt(2)), you need to multiply the denominator by another number so that it becomes a a whole number. If you multiply either the denominat...
LC
Answered by Leanne C. • Maths tutor
3888 Views

factorise: 3x^2+13x-30

(3x-5)(x+6)factors of 90 (3x30): 1x90, 6x15, 9x10, 5x18and add up to 13 can only be 5 and 1818-5=13 5/3 or 18/3=6 and 5x6=30so must be (3x-5)(x+6) and check by expanding with FOIL method
MS
Answered by Mary S. • Maths tutor
4074 Views