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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

4202 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

9158 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

5619 Views

Simplify x^2 - 9x + 20

Firstly write out the equation x² - 9x + 20 = 0. The aim is to find two numbers that multiply to make 20 and add up to make -9. Look at the constant without any x's , in this case it is 20. We ...

Answered by Amrit M. • Maths tutor

5300 Views

Mike has 4 blue balls, 6 green balls and 10 yellow balls what is the probability that he will pick a yellow ball.

It would be worked out by adding 4+6+10 to get 20 and then it would be number of yellow balls over total number of balls which would be 10/20. Depending on ability this may then be simplified down to 1/2....

Answered by Georgia E. • Maths tutor

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