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Using Algebra show that part of the line 3x + 4y = 0 is a diameter of the circle with equation (x^2) + (y^2) = 25

To show that the line is a diameter of the circle you muct show that it goes through the centre of the circle1) finding the centre of the circle. The general eqn is (x-a) 2 + (y-b) 2 = r 2 , where r is the r...
EL
Answered by Emma L. • Maths tutor
8644 Views

Show x^2 + 8x +15 = 0 in the form of (x+b)^2 +c (complete the square) and then solve the equation

x 2 +8x +15 = 0 (x+4) 2 -16 +15=0 (x+4) 2 -1=0 (x+4)= (+/-)1 x = -3 or -5
OA
Answered by Omar A. • Maths tutor
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How do I work out the area of a quarter circle with radius 6cm?

The easiest way to do this is to first work out the area of the whole circle. To work out the area of a circle, the equation is area = πr 2 , where r is the radius. So, to work out the area we work out π x 6...
CC
Answered by Carla C. • Maths tutor
14017 Views

Write x^2-4x+9 in the form (x-p)^2+q, where p and q are integers.

To complete this task we use a method called "Completing the square. For this we use a formula (a+b)^2=a^2+2ab+b^2. Now we see that in the example we have a term x^2 so we put x^2=a^2 so we can have tha...
MS
Answered by Maria S. • Maths tutor
6588 Views

P=(3a+5)/(4-a) Make a the subject

P=(3a+5)/(4-a)First of all we need Get rid of the denominator, we do this by multiplying both sides by (4-a)This leaves P(4-a)=3a+5 (as any term multiplied by the denominator leaves only the numerator)The ne...
JS
Answered by Joshua S. • Maths tutor
4690 Views