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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

4067 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

3618 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

1783 Views

Why would you use a stratified sample of participants when carrying out a study?

A stratified sample of participants means the proportion of one group of participants in relation to the others in the real world is reflected in your sample. This can be useful in a study about where a m...

Answered by • Psychology tutor

1999 Views

How do i know when to use the imperfect or preterite tense?

The preterite and the imperfect are both tenses used to express past actions in Spanish, however it is important to remember how to use each one and when to use them, as it can be confusing!...

Answered by Kitty C. • Spanish tutor

2370 Views