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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

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...

Answered by Calvin H. • Maths tutor

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How important was Bismarck in keeping the political status quo of the German Empire under authoritarian rule?

Bismarck was very important in keeping the political status quoas it was Bismarcks revised constiution and anti-socialist policies that created an authoritarian government, preserving the German political...

Answered by Roisin W. • History tutor

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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 separ...

Answered by Shriram R. • Maths tutor

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Find the solutions to the following equation x^2 - 5*x + 6 = 0

There are several ways one can go about answering this question, one of which is to 'complete the square' by trial and error. A different, potentially easier method is to substitute the coefficients into ...

Answered by Frederick M. • Maths tutor

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