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Solve 5x + 3 = 45

5x + 3 = 455x + 3 - 3 = 45 - 3 (subtract 3 from both sides)5x = 42(5x)/5 = 42/ 5 (divide both sides by 5)x = 8.4 (can either be expressed as a decimal or as fraction)

Answered by Caroline A. Maths tutor
3185 Views

Three identical isosceles triangles are joined together to make a trapezium. Each triangle has base b cm and height h cm. Work out an expression, in terms of b and h for the area of the trapezium.

Formula for the Area of a triangle: A = (base x height)/ 2
Here we have three identical triangles.
Therefore the formula for the Area of the three triangles: A = (b x h) x 3 / 2 = A of trapeziu...

Answered by Megan C. Maths tutor
7868 Views

Solve the differential equation csc(x)*dy/dx=exp(-y), given that y(0)=0. (Typical Math HL paper 3 question, Calculus optional topic)

Firstly, we need to grasp the problem, and understand what the question is asking us to do. We are given a differential equation, and we are required to solve for y, i.e. write y as a function of x: y(x)=...

Answered by Khariton G. Maths tutor
1512 Views

Explain how integration via substitution works.

The function in terms of x should be broken down into two easier to integrate functions, like so f(x) = g(h(x)). if we say that u=h(x) is our substitution then we can integrate in terms of u now, however ...

Answered by Daniel F. Maths tutor
2681 Views

Solve this set of linear equation to find x and y: 1. 8x + 2y =48 2. 7x +3y =47

Write out the two equations and label them 1 and 28x + 2y =487x+ 3y= 47The first aim is to get one variable (ie x or y) on both lines to equal each other. The easiest way to do this (keeping the numbers m...

Answered by Rachel T. Maths tutor
2523 Views

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