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The equation of a line is y=e(^2x)-9 and the line has points at (0,a) and (b,0). Find the values of a and b.

y=e 2x -9. When x=0 y=a.a=e 2(0) -9a=1-9=-8. When x=b y=0.0=e 2(b) -99=e 2b ln(9)=ln(e 2b )ln(9)=2b(1/2)ln(9)=bln(9 (1/2) )=bb=ln3
CJ
Answered by Callum J. • Maths tutor
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Solve the equation sec^2 x+ 2tan x = 0, 0 ≤ x ≤ 2π. IB May 2017 Exam

sec^2 x+ 2tan x = 0 use the fact that sec^2 x= tan^2 x +1 tan^2 x + 2tan x + 1 =0 (tan x +1)^2 = 0 tan x = - 1 x=3π/4, x= 7π/4
MP
Answered by Michal P. • Maths tutor
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A circle, C, has an equation: x^2 + y^2 - 4x + 10y = 7 . Find the centre of the circle and its radius?

The equation given needs to be transformed into a more familiar equation of a circle which we know the properties of and are therefore able to find its centre. Do you know what type of equation im speaking o...
AA
Answered by Alex A. • Maths tutor
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Cliff has a bag of tennis balls. 8 are green, 7 are yellow and 5 are white. He picks a tennis ball at random. What is the probability that he picks one that is not green?

To solve this question, we need to know how many balls there are altogether in Cliff's bag. In total, there are 20 balls (8+7+5). We know that 8 of the balls are greens, so by subtraction (20-8) we can tell ...
KS
Answered by Kabilan S. • Maths tutor
5759 Views

The diameter of a ring is 19mm. Calculate the area of the ring in cm^2, giving the area to 3 significant figures.

First you must convert the diameter into cm from mm:19/10 = 1.9cmThen you must find the radius of the ring:radius = diameter/2 = 1.9/2 = 0.95 cmThen you can calculate the area:area = 2πr 2 = 2 x π x (0.95) 2...
MP
Answered by Mary P. • Maths tutor
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