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How do I simplify a surd?

Take the number that is in the root sign, and change it to 2 numbers multiplied together (we want one of these numbers to be a square number). A square number is 1, 4, 9, 16 etc. Then separate this into two ...
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Answered by Francesca E. • Maths tutor
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Cosine theorem?

this formula is used in triangles to define either a cosine or the side of the triangle opposite of the cosine's angle c 2 =a 2 +b 2 -2abcosc cosc= the cosine of the angle opposite of the c side of the trian...
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Answered by Petar A. • Maths tutor
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What is the gradient of the line passing through the point (1,2) and (5,5)? What is the equation of this line? What is the equation of the line perpendicular to this line that passes through the origin (0,0)?

Gradient of initial line = 3/4 Equation of initial line : y= 3/4x + 5/4 (4y = 3x + 5) Equation of perpendicular line : y= -4/3x
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Answered by Temilola A. • Maths tutor
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a.) simplify and expand (x+3)(2x+5) b.) differentiate (x+3)(2x+5) c.) where does this function intercept the x and y axis? d.) does this function have any turning points? if so where?

a.) simplify and expand (x+3)(2x+5) Expand using "crab claw" (better known as foil) => 2x^2 + 5x + 6x + 15 Simplify => 2x^2 +11x + 15 b.) differentiate (x+3)(2x+5) Using part a, dy/dx= 4x +11...
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Answered by Calvin H. • Maths tutor
4181 Views

2x + 4 = 4y ; 3y + 3 = 3x. What is x and y respectively?

Firstly you need to identify the information in the question that is key. On analysing the question, you will see that the objective is to find what x is and what y is respectively. We are given two separate...
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Answered by Shriram R. • Maths tutor
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