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Solve the following, (3/4 + 2/5)^2

Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20. 2/5 X 4/4 = 8/20 This makes the question become (15/20 + 8/20) 2 15/20 + 8/20 = 23/20 Therefore (23/20) 2 So finaly square both top and ...
AB
Answered by Adam B. • Maths tutor
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Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi

we have cos (3x) = 0.5 (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5 (2) the two solutions are y=pi/3 and y=-pi/3 in this interval. More genera...
MB
Answered by Marie B. • Maths tutor
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(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?

First of all draw the rectangle, name its sides and annotate its characteristics. Define the data you have and what you are looking for. Write down the general formula for the perimeter of a rectangle: p = a...
GD
Answered by Giulia D. • Maths tutor
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How do you find the gradient of a straight line?

The gradient of a straight line is the number before the x if it is in the form y=mx+c. So for y=6x+2 the gradient is 6. If the y has a factor, like 2y=6x+2, then you have to divide everything by the factor ...
HW
Answered by Hebe W. • Maths tutor
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How do you determine the nature of a graphs stationary point? e.g y = 1+2x-x^2

We have our function of y = 1+2x-x 2 The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our function with respec...
JA
Answered by Joseph A. • Maths tutor
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