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The line y = 3x-4 intersects the curve y = x^2 - a, where a is an unknown constant number. Find all possible values of a.

For the line and the curve to intersect we need the for the following system of equations to have a solution. y = 3x AND y = x 2 - a The solution of the system of equations is found by solving x^2 - 3x - a =...
HK
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A point A lies on the line y = 2x^2 - 8x + 2. A has y-coordinate (-4). Find all possible values for the x-coordinate of A.

The point A = (x', y') lies on the line y = 2x 2 - 8x +2 . And we are given that y' = -4 .Therefore we have that -4 = 2x 2 - 8x +2 , which simplifies to x 2 - 4x + 3 = 0 . Solutions for this quadratic equati...
HK
Answered by Hasnat K. • Maths tutor
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50.0 g of propene reacts with hydrochloric acid to produce 1-chloropropane. Calculate the percentage yield if only 54.0g is made.

STEPS:Write the equation CH3CHCH2 + HCl -> CH3CH2CH2Cl + H2 (where 1-chloropropane made by electrophilic addition reaction)Identify number of moles of propene used. So number of moles is m/ Mr= 50.0g / (1...
RK
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A line intercepts point A at (4,4) and point B (8,12). Find the gradient and the intercept of the line.

First, calculate the gradient of the line (m) using the equation using dy / dx.m = dy / dx = (y_2 - y_1) / (x_2 - x_1) = (12 - 4) / (8 - 4) = 8 / 4 = 2.As you now know the gradient of the line and points on ...
AF
Answered by Alex F. • Maths tutor
3114 Views

ABC is a right-angled triangle (B being the right angle). Is AB=12 and BC=9, What is Angle A? (3.s.f.)

If you having trouble visualising it, try drawing a diagram. Start with SohCahToa. As A is opposite side BC=9, Opposite =9 As AB=12 is adjacent to A, Adjacent=12 Both opposite and adjacent are both featured ...
CP
Answered by Catherine P. • Maths tutor
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