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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 ...

Answered by Blake H. Maths tutor
2847 Views

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 allopat...

Answered by Biology tutor
4278 Views

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...

Answered by Toby S. Maths tutor
2536 Views

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 hav...

Answered by Maths tutor
4166 Views

“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. T...

Answered by Rosina D. Psychology tutor
1466 Views

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