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Find the point(s) of intersection of the graphs y=x^2+4x-21 and x+y=-27 using an algebraic method.

As, at the point of intersection, the values of x and y are the same in each graph (otherwise it wouldn't be a point of intersection!), we can approach the problem as solving a pair of simultaneous equations...
PB
Answered by Peter B. • Maths tutor
4076 Views

Circle the number that is closest in value to (1.1)/(0.0204) [From selection of 5, 6, 50, 60] [Edit of 2018 Paper 1 Q4]

To simplify the question, the denominator can be rounded to 0.02 (to find an estimate), which comes out to be 1.1/0.02=55, which suggests that the answer is between 50 and 60, and not the other two.Now, an a...
DL
Answered by Doug L. • Maths tutor
3811 Views

A sphere has a surface area of 4m^2, radius r. Another sphere has radius 2r. Calculate the Volume of the second sphere in M^3.

The surface area of a sphere can be calculated using Area = 4 x Pi x r^2. Since we know the surface are of the first sphere is 4m^2, we can write: 4 = 4 x Pi x r^2. This simplifies to r^2 = 0.318. Taking the...
FW
Answered by Freddie W. • Maths tutor
3480 Views

Find the two points of intersection of the graphs 2x+y=7 and x^2-8x+7=y. Solve using only algebraic methods (no graphical).

We treat this problem as two simultaneous equations, using our knowledge that when two graphs intersect, they simultaneously have the same solution. The second equation (quadratic equation) is already in the...
AS
Answered by Amy S. • Maths tutor
3607 Views

Solve 4(3x - 2) = 2x - 5. (3 marks)

To solve this linear equation, our ultimate goal is to end up with our unknown "x" value on one side and our number on the other side of this equation. To get to this stage, there are three steps.F...
HE
Answered by Hugh E. • Maths tutor
4661 Views