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Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13

  1. Rearrange y - 3x = 13y = 3x + 13 2. Substitute into x^2 +y^2 = 25x^2 + (3x + 13)^2 = 25 3. Expand bracketx^2 +(9x^2 + 39x +39x +169) = 25 4. Form quadratic equation 10x^2 + 78x + 144 = 0 (Dividing b...
EN
Answered by Emily N. Maths tutor
5013 Views

How can I tell the difference between a Petrarchan sonnet and an English/Shakespearean sonnet?

Petrarchan and English sonnets are very similar forms but have a few easy to spot characteristics that let you differentiate between them. The Petrarchan sonnet is the earliest sonnet form and consists of...

AW
Answered by Alexander W. English tutor
5779 Views

How do I know when to use "être" or "avoir" to conjugate in the perfect tense?

In English, the perfect tense always requires the auxiliary verb "to have", but in French, you will need to use either avoir (= "to have") or "être" (= to be). Most verbs wil...

MP
Answered by Marie P. French tutor
2582 Views

There are 5 girls, 6 boys and some adults in a classroom. The probability that a girl is chosen is 1/3. What is the probability of an adult being chosen?

This is a question taken straight out of an Edexcel exam paper. I think it's a good test of GCSE level probability and algebra. We don't know how many adults there are to begin with so let's say n...

JM
Answered by Jack M. Maths tutor
10046 Views

John is n years old where n is an whole number. Kim is three years younger than John and Vanessa is half of Kim's age. Write an expression for Vanessa's age in terms of n.

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