Top answers

Maths
All levels

A small stone is projected vertically upwards from a point O with a speed of 19.6m/s. Modelling the stone as a particle moving freely under gravity, find the length of time for which the stone is more than 14.7 m above O

We want to find out the time during which the stone is above a certain point. As this stone is thrown upwards we know that the first time it passes this point it will be on its way up and when it passes t...

AG
Answered by Aaron G. Maths tutor
14202 Views

Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we w...

AG
Answered by Aaron G. Maths tutor
21827 Views

How do you differentiate the curve y = 4x^2 + 7x + 1? And how do you find the gradient of this curve?

To begin with, this question requires you to differentiate the curve y = 4x2 + 7x +1 in order to find the gradient. To differentiate this function y in respect to x, we need to reduce the power...

KS
Answered by Katie S. Maths tutor
4241 Views

If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a ...

NK
Answered by Najmeh K. Maths tutor
3653 Views

A square has sides of length x cm. The length of a rectangle is equal to the perimeter of this square. The perimeter of this rectangle is 14x cm. Find an expression for the width of this rectangle. Give your answer in terms of x.

l(s) = xl(r) = 4xp(r) = 14xP(r) = 8x + 2w = 14xw = 3x

MZ
3626 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning