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If a=2 and b=3 , find the value of 2(a−b)+3(a+b)

My explanation would depend on the level of understanding of the person but one way would be the following:

We know that a = 2. Substitute the value of "a" in the given equation:

2...

Answered by Andrea C. • Maths tutor

13950 Views

Can you help me solve the equation x^2+3x-5

We can see right off the bat that this is a quadratic equation. As always with quadratics, it is easiest to see if it factorises first. To factorise, you need to find two numbers that multiply together to...

Answered by Mollie S. • Maths tutor

4278 Views

Solve for the coordinates where lines A and B intersect. A: y=x+4 B: y=0.5x+3.5

The point of intersection is a point where the variables y and x will be the same in both A and B equations. This is because the point of intersection has the same coordinates for both lines. So Y_A

Answered by Harvey P. • Maths tutor

4366 Views

Solve the equation: 5^(2x+1) = 7, giving your answer correct to four decimal places.

First, we take logs of both sides: log(5^(2x+1))=log(7) Now, using the 3rd law of logs (index rule; using the power as the coefficient), we get: (2x+1)log(5)=log(7) i.e. 2x+1 = (log(7))/(log(5)) = 1.20906...

Answered by Mohamad S. • Maths tutor

9331 Views

Why is the derivative of inverse tan(x) 1/(1+x^2)?

This can be proven by understanding tan(x) and it's inverse as functions, using implicit differentiation, subsitution and by recognising trigonometric identities (or being able to prove them from first pr...

Answered by Neel G. • Maths tutor

5869 Views