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How to solve a quadratic equation?

There are several ways to solve a quadratic equation. 1.Quadratic formula ax2 + bx + c = 0, where a can't equal 0 but b and c can.x = (-b± (b2 - 4ac)) / 2a2. completing the square(x ...

Answered by Alvaro M. Maths tutor
2740 Views

How can I understand eigenvalues and eigenvectors?

A matrix is a linear transformation between vector spaces. Often we want to think about linear maps from an n-dimensional vector space to itself. When the vector space that we're mapping to and f...

Answered by James W. Maths tutor
2933 Views

66 people went on a day trip and each took part in one activity: skating, bowling or painting. 43 were female. 4 out of the 10 that went skating were male. 20 people did painting. 10 males went bowling. How many females did painting?

This question is worth 4 marks and requires us to work with the information we are given. To set this up clearly, I would suggest drawing out a table with the three activities listed down the side and mal...

Answered by Abby G. Maths tutor
6462 Views

If I throw a ball vertically upwards with a velocity of 15 m/s and we assume the gravitational acceleration is 10 m/s^2. Draw the distance-time, and velocity-time graphs, how long is the ball in the air before it returns to the point I threw it from?

We will need a SUVAT equations, so first fill in what information we have:S = 0 (the point where the ball returns to the start)U = +15 m/sV = -15 m/s (from graph)A = -10 m/s (important that this is the op...

Answered by Barnaby F. Maths tutor
3122 Views

Solve the simultaneous equations 2x+3y=17 and 10x-y=5.

In order to solve the simultaneous equations, you should first get rid of one of the unknowns. In this case, one of the ways to do this is to multiply both sides of the first equation by 5 (2x+3y=17 =&g...

Answered by Boris A. Maths tutor
3278 Views

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