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Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x − 2y = 4.

Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 1...

Answered by Ethan O. Maths tutor
3505 Views

What is differentiation and integration?


An integral is an anti-derivative, meaning it will take the derivative we are assessing and return it back to its original function. Moreover, an integral is used to find the area under a curve. Dif...

Answered by Othman A. Maths tutor
2780 Views

A linear sequence starts with: a + 2b ; a + 6b ; a + 10b etc. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b.

We know that the 2nd term has a value of 8. Thus a + 6b = 8;What is more, we also know that the 5th term has a value of 44. We also know that the next element in the sequence increases by 4b when compared...

Answered by Maths tutor
2472 Views

How many hydrogen atoms are there in a glass of water?

This question may seem extremely broad but in fact there is only one assumption one should make - the volume of the water. Let's say that there are 200mL of water in the glass. We know that the concentrat...

8593 Views

An exo-planet orbits its local star, of mass 2.00x10^30kg, in a steady circular orbit of radius 8.00x10^8km. Calculate the orbital period of the star, in years.

Key idea is equating gravitational force between planet and star (right hand side) with the centripetal force necessary to maintain the orbit (left hand side):(mv2)/r = (GMm)/r2

Answered by Physics tutor
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