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The circle C has centre (3, 1) and passes through the point P(8, 3). (a) Find an equation for C. (b) Find an equation for the tangent to C at P, giving your answer in the form ax + by + c = 0 , where a, b and c are integers.

A)1) Draw a diagram of the circle displaying the centre and perimeter points along with their respective co-ordinates.2) Write down the equation for a circle labelling the centre and perimeter points. 3) Inp...
PV
Answered by Patrick V. • Maths tutor
9763 Views

A prism with a triangular cross section has volume 120cm^3. The base of the triangular face has length 6cm. The width of the prism is 10cm. The height of the triangular face is h. Find h.

Cross sectional area: half base x height = (6/2) h = 3h , Volume of prism: Cross sectional area x width, this gives: 3h 10 = 120, rearrange: 3h = 12, Find h: h = 4cm.
JV
Answered by Jake V. • Maths tutor
5427 Views

Factorise fully: 3x - 9x^2

3x(1-3x)
JV
Answered by Jake V. • Maths tutor
7750 Views

Part 1 of a test has 60 marks, Part 2 has 100 marks. James scores 75% on part 1 and 48% on part 2. To pass the full test, he needs 60% of the total marks, does he pass?

75% of 60: 0.75 60 = 45 , 48% of 100: 0.488 100 = 48 , His total marks: 45+48 = 93 , Total marks available: 100+60 = 160 , His final percentage: 93/160 = 0.58125 0.58125*100 = 58% , Therefore, he does not pa...
JV
Answered by Jake V. • Maths tutor
4252 Views

How do you simplify the following: (3^2)^3

To simplify this you use the following rule: (a^m)^n = a^mn The a represents the base number, the m represents the power inside the bracket, and the n represents the power outside the bracket. Therefore (3^2...
SR
Answered by S R. • Maths tutor
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