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Suppose you are given a rectangle where the length is equal to 2x+4 and its width is equal to 3x-2. Assuming that the perimeter is equal to 54 cm, what's the value of x?

Step 1: For a rectangle, we know that opposite sides are equal Hence we use this information to draw a rectangle and label the 4 sides. Step 2: We know that the perimeter of a rectangle is equal to the sum o...
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Answered by Pantelis K. • Maths tutor
4902 Views

Solve the equation (2 cos x) = (sin 2 x) , for 0 ≤ x ≤ 3π .

cos x = 0, sin x = 1, solved using trigonometric identities. 3(pi) means 3/2 times round a the circle, therefore using graphs answer is pi/2, 3(pi/2), 5(pi/2)
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Answered by Dhruv C. • Maths tutor
6751 Views

Calculate 8^0

1, any number to the power of 0 is equal to 1
DC
Answered by Dhruv C. • Maths tutor
5115 Views

Solve the simultaneous equations 5x+2y=11 and x-y=-2.

Simultaneous Equations are equations involving 2 or more unknowns that are to have the same value in each equation. The aim is to eliminate all except one unknown which will then allow us to find the value o...
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Answered by Peter H. • Maths tutor
10718 Views

A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.

When thinking about stationary points, it is important to remember that these points happen when the gradient of the curve is 0 (-> dy/dx = 0), or if you prefer, when the rate of change of a graph is 0. S...
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Answered by Christopher P. • Maths tutor
7187 Views