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Solve the following equation. (x)^2-8x+15=0

Factors of 15 that add together to make -8: -3 and -5 Factorise: (x-3)(x-5)=0 Solve: x=3 x=5

AC
Answered by Amelia C. Maths tutor
3156 Views

Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by divid...

CG
Answered by Catherine G. Maths tutor
4992 Views

What is the area of triangle ABC where AB = 5 cm, BC = 12 cm and angle ABC = 50 degrees?

To find the area of a triangle where the length of the base and perpendicular heights are not known, use the sine rule to find the area. This is: Area = 0.5 x a x b x sin(angle between lengths a and b) He...

AS
Answered by Aminah S. Maths tutor
8364 Views

5, 11, 21, 35, 53, ... Find the nth term of this sequence.

By calculating the difference between each of the progressions, we see that the first difference is 6, the next is 10, then 14 and finally 18. It is easy to observe that the jump increases by 4 each time,...

MG
Answered by Majed G. Maths tutor
27443 Views

How do I solve this linear equation? Angles A and B are in a quadrilateral are in ratio 2:3, angle C is 30 degrees more than angle B and angle D is 90 degrees.

Firstly I would draw a diagram of a quadrilateral and label my angles, starting clockwise A,B C and D. Remember that all angles in a quadrilateral add up to 360 degrees. You must use linear equations to s...

TD
Answered by Tutor49006 D. Maths tutor
3569 Views

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