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Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y - 3x = 13

Firstly we should look at the question and notice that the two possible methods are substitution or elimination. We should then notice that since one equation is a quadratic and the other linear, then the...

Answered by Aviv S. • Maths tutor

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There are 5 red balls and 7 green balls in a bag. A ball is taken from the bag at random and not replaced. Then a second ball is taken from the bag. What is the probability that the 2 balls are the same colour?

Initially, there are 12 balls in the bag. Therefore the chance of the first ball being red is 5/12 and green is 7/12. The probabilities of the second ball are dependent on the first ball, as it is removed...

Answered by Stanley L. • Maths tutor

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What is 90 million in standard form?

1 million = 1,000,00090 million = 90,000,000Place your decimal place after the 9 as standard form only has numbers 1-10 as the first number, otherwise it means this number can be divided by or multiplied ...

Answered by Abbie Y. • Maths tutor

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Write 32 X 8^(2x) as a power of 2 in terms of x.

Rules of indices question.32 X 8^2x32 X (8²)^x32 X (8x8)^x32 X 64^x32 = 2^{5 .} and 64 = 2⁶2⁵ X (2⁶)^x

Answered by Abbie Y. • Maths tutor

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How can I prove that an angle in a semi-circle is always 90 degrees?

If we take the diameter of a circle and create an angle on the circumference at point C of the circle from the two points where the diameter meets the circumference (points A and B), the angle created wil...

Answered by David W. • Maths tutor

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