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P is a point on a circle with the equation x^2 + y^2 = 45. P has x-coordinate 3 and is above the x axis. Work out the equation of the tangent to the circle at point P.

First insert x = 3 into the equation of the circle3^2 + y^2 = 459 + y^2 = 45 take 9 away from both sidesy^2 = 36 take the square root of both sidesy = 6 (not -6 as P is above the x-axis)Next find the grad...

Answered by Emily W. • Maths tutor

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A group of 44 pupils were asked if they owned a phone or a tablet. 5 people are known to own both 3 said they only owned a tablet 17 said they owned at least a phone A student is picked a random, what is the probability that the student doesn’t have

So in this question, there are 4 main people in this question; those who own ONLY a phone, ONLY a tablet, both a phone or a tablet or NONE. How do you think we could represent this information? Prompt stu...

Answered by Niki C. • Maths tutor

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Show me why the product of a squared and a cubed is a to the power of 5.

When we find the product of two terms that has the same base (in this case, a), we can simply add the powers. This can be explained using knowledge of squares and cubed. a²= a...

Answered by Leon M. • Maths tutor

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expand (x-3)^2

firstly explain (x-3)²= (x-3)(x-3) on the whiteboard I'd draw a square grid with each of the numbers, then I'd multiply out. E.g. x multiplied by x = x²; x multiplied by -3 = -3x an...

Answered by Imogen T. • Maths tutor

7787 Views

2x + 7y = 14 and x + y = 2. Find the value of x and y which satisfy both equations.

There are 2 ways to solve simultaneous equations which are by substitution or elimination. In this example you can use both but elimination is simpler. So we have 2x + 7y = 14 and x + y = 2. To use elimin...

Answered by Amir S. • Maths tutor

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