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A rectangle has an area of 20 cm^2.  Its length and width are enlarged by scale factor 3.  Find the area of the enlarged rectangle.

Area Scale Factor = (Scale Factor) 2 If the scale factor is 3 then: ASF = 3 2 ASF = 9 Area of enlarged rectangle = 20x9 Area of enlarged rectangle = 180cm 2
MU
Answered by Melanie U. • Maths tutor
4780 Views

Rearrange the formula: m = 2ab/4c+b to make b the subject

m = 2ab/4c+b [times both sides by (4c+b)] m(4c+b) = 2ab (expand the bracket) 4cm+bm = 2ab (take away bm from both sides) 4cm = 2ab - bm (take out b as the common factor) 4cm = b(2a-m) [divide both sides by (...
MU
Answered by Melanie U. • Maths tutor
6223 Views

The line L passes through the points (-2,3) and (6,9). How do I find the equation of the line that is parallel to L and passes through the point (5,-1)?

Find the gradient of line L. The gradient can be defined as the "change in y" divided by the "change in x". For this situation, the "change in y" would be 9 - 3 = 6. The "c...
JC
Answered by Justin C. • Maths tutor
15152 Views

Prove that an angle subtended by an arc is double at the centre then at the perimeter.

After drawing, bisect the perimeter angle in two from the centre. We now have two isosceles triangles with the sides the same length (1 radius from the centre). We know that 2 angles in each triangle add up ...
MP
Answered by Matthew P. • Maths tutor
7797 Views

The complex conjugate of 2-3i is also a root of z^3+pz^2+qz-13p=0. Find a quadratic factor of z^3+pz^2+qz-13p=0 with real coefficients and thus find the real root of the equation.

z-2+3i times z-2-3i = z 2 -4z+13. z 3 -2z 2 +5z+26 divided by z 2 -4z+13 = z+2. Therefore the real root is z=-2.
WN
Answered by William N. • Maths tutor
6192 Views