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Ball P is shot at 18m/s horizontally from the top of a 32m mast. Ball Q is shot at 30m/s at an angle 'a' to the horizontal from the bottom of the mast. They collide mid-air. Prove that cos'a' = 3/5

Consider the positions of each ball as a function of time. Distance (position) is equal to velocity times time. We want 'cos' in the answer, so we'll work with the x axis. For ball P, the position is equa...

Answered by Andrew F. • Maths tutor

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Write 5x^2 + 30x + 36 in the form 5(x+A)^2+B where A and B are integers to be found.Then write the equation of symmetry for the graph of 5x^2 + 30x + 36

-Take factor of 5 out as seen in question.-Expand the brackets-Then draw a sketch of the graph -Then understand what type of graph it is and what it means about the line of symmetry.

Answered by • Maths tutor

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How do I work out the equation of a tangent line to a curve?

A tangent line to a point of a curve is the straight line which is parallel to the the curve at that point.The equation of any straight line has equation form : y-y_1 = m(x-x_1) where m is the gradient of...

Answered by • Maths tutor

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Simplify fully (3x^2-8x-3)/(2x^2-6x)

Simply factorise both expressions and cancel out the common denominator until left with a fully simplified fraction.the top expression becomes (3x+1)(x-3) and the bottom becomes 2x(x-3). Therefore, (x-3) ...

Answered by Sydney T. • Maths tutor

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Solve the simultaneous equations 2x + 3y = 6 - 3x and 5x + 6y = 10 - y.

Step 1: First it is best to rearrange the to simultaneous equations to have the unknown variables on one side and the constants on the other: 5x + 3y = 6 and 5x + 7y = 10.Step 2: Next is to notice that bo...

Answered by Fraser W. • Maths tutor

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