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Maths
GCSE

Simplify fully (3x^2-8x-3)/(2x^2-6x)

3x^2-8x-3 factorises into (3x+1)(x-3)2x^2-6x fatorises into 2x(x-3)Common factor between the numerator and denominator is (x-3)therefore the final answer is (3x+1)/2x

Answered by Michael B. Maths tutor
3844 Views

How do you solve the equation '2x + 1 = 5'?

The objective for this question is to work out what number 'x' represents in order for this equation to be true. This simply means that we want to find the number that 'x' equals, so we ...

Answered by Anna G. Maths tutor
3160 Views

√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

We have:
√5(√8 + √18)
Now, multiply out the brackets (multiply everything inside the brackets by √5). This gives us
√40 + √90
We now need to simplify the SURDs. We know that we want th...

Answered by Maths tutor
16335 Views

Calculate the length of the hypotenuse of a right-angled triangle when the other two sides measure 6cm and 9cm.

Pythagoras theorem which applies to right angled triangles is summarised by the following formula: c2= a2 + b2 where 'c' is the hypotenuse of the triangle, whilst 'a' and...

Answered by Gajendra S. Maths tutor
3181 Views

N sweets in a bag. 6 sweets are orange. The rest are yellow. Hannah takes a random sweet from the bag and eats it. She then takes another random sweet from the bag & eats it. The probability Hannah eats 2 orange sweets is 1/3. Show n^2 - n - 90 = 0.

It's a probability equation. The probability of getting an orange sweet the first time is 6/n. The probability of getting an orange sweet the second time is 5/n-1Times those together to get the probabilit...

Answered by Hannah B. Maths tutor
3299 Views

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