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

Rearrange y - 3x = 13 to y = 13 + 3xSquare y to give y^2 = 169 +78x +9x^2Sub into first equation to give x^2 + 169 + 78x +9x^2 = 25Simplify to give 10x^2 + 78x + 144 = 0 Apply quadratic formula to solve for ...
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Answered by Blake H. • Maths tutor
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What's the difference between allopatric and sympatric speciation? What are some evolutionary implications of this?

For speciation to occur, a population must split into at least two isolated parts to avoid the spread of genes between them; the nature of this isolation is what defines sympatry and allopatry. In allopatric...
Answered by • Biology tutor
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Which of these fractions is the largest - 33/56 ,4/7, 9/21, 6/14

As it is not clear which is biggest, we need to make sure that the fractions are in their simplest form. For 33/56 there no common factors so this is the simplest form. 4/7 is clearly in the simplest form. 9...
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Answered by Toby S. • Maths tutor
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Solve the simultaneous equations: y + 4x + 1 = 0, and y^2 + 5x^2 + 2x = 0.

"Solve the simultaneous equations" is another way of saying find the unknown variables. In this case, they are x and y. When looking at the second equation, y^2+5x^2+2x=0, we can see that we have t...
Answered by • Maths tutor
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“How can resilience be enhanced in children and adolescents living in poverty? Critically discuss with reference to empirical evidence.”

Imagine you live in a rural village in Rwanda. One afternoon, shots ring through the air and you witness the shooting of your parents. To save yourself, you have no choice but to hide under a dead body. This...
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Answered by Rosina D. • Psychology tutor
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