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How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?

Say the parallelogram is called ABCD, you know the coordinates of A, B and C and want to find out DFirst of all, you'll want to calculate a vector from one of the sides of the parallelogram, say AB . Because...
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Answered by Melzie G. • Maths tutor
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y = 4x^2 + 20x + 11 is a curve. Find the minimum point of the curve.

Differentiate equation = 8x+ 20Set differential to 0 and calculate xx = 2.5
MD
Answered by Michael D. • Maths tutor
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Write 2x^2 + 6x + 6 in the form a(x^2 + b) + c by completing the square.

2x 2 + 6x + 62(x 2 + 3x + 3) => Factor out 4 from each term so the x 2 term of the quadratic has 1 for a coefficient.2[(x + 3/2) 2 - d + 3] => Here, we've divided 3x by 2; this coefficient becomes b. W...
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Answered by Iffshah I. • Maths tutor
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What is the simplified version of ( 2a+4a^2+3a)

Firstly group the like terms to make the expression (5a+4a^2) and then factor out 'a' as it is a common term.This makes the expression ( a(5+4a))
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Answered by Rajun G. • Maths tutor
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Find the solutions to the simultaneous equations

y - 2x = 3 x 2 + y 2 = 18Step 1- re-arrange the first formula to find y: y = 3 + 2x Step 2- Substitution: x 2 + ( 3 + 2x ) 2 = 18 Step 3- Expand the brackets: ( 3 + 2x )( 3 + 2x ) = 9 + 6x + 6x + 4x 2 x 2 + ...
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Answered by Rebecca H. • Maths tutor
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