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What is 2/5 + 3/4 ?

2/5 = 8/20        3/4 = 15/20

8/20 + 15/20 = 23/20

23/20 = 1 and 3/20

KS
Answered by Kaya S. • Maths tutor
2567 Views

i) Using implicit differentiation find dy/dx for x^2 + y^2 = 4 ii) At what points is the tangent to the curve parallel to the y axis iii) Given the line y=x+c only intersects the circle once find c given that c is positive.

I don't know how effectively I can communicate this answer via text without the whiteboard but I'll try.

i) First implicitly differentiate with respect to x: 2x + 2y * dy/dx = 0.

Rearranging...

JD
Answered by James D. • Maths tutor
4892 Views

Solve the simultaneous equations, 2x+y-5=0 and x^2-y^2=3

2x+y-5=0, y=5-2x (put into second equation)

x2-y2=3, substituting in we get, x2-(5-2x)2=3, expand, x2-(25+4x2-20x)=3, simplify, x

JS
Answered by Joshua S. • Maths tutor
12225 Views

2a + 6b = 24, 3a + b = 20

a + 3b = 12, a = 12 - 3b

3(12-3b) + b = 20

36-9b + b = 20

36-8b = 20

8b = 16

b = 2

2a + 12 = 24

2a = 12

a = 6

AC
Answered by Ailsa C. • Maths tutor
4103 Views

Factorise x^2 - 8x - 20

x^2 - 8x - 20

(x - 10)(x+2)

(Explanation and helping understanding) Remember the last 2 numbers must multiply to equal the last number in the question and add together to equal the middle nu...

CS
Answered by Christian S. • Maths tutor
4216 Views

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