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Given the points P(-1,1) and S(2,2), give the equation of the line passing through P and perpendicular to PS.

First, we can find the slope of the line PS , with the help of the formula m = (y 2 - y 1 )/(x 2 - x 1 ) or if we substitute for the given points m PS = (2 - 1)/(2 - (-1)) = (-1)/(3)= -1/3. Since the line l ...
KS
Answered by Kalina S. • Maths tutor
3616 Views

Salika travels to school by train every day. The probability that her train will be late on any day is 0.3. If salika is late on 4 consecutive days she gets a detention. what is the probability she will get a detention during a week?

we would draw a tree diagram to show this. 4 consecutive days means everyday except friday, or everyday except monday. this would be 2(0.3x0.3x0.3x0.3x0.7)
EC
Answered by Emma C. • Maths tutor
4838 Views

Solve the simultaneous equation: 2x +y =18; x-y=6. (3)

Turn x-y=6 into y=6+x.2) Insert y=6+x into 2x+y=18; get 2x+6+x=183) Turn the latter equation into 3x=18- 6=124) Divide 12 by 3 to get x=45) Insert x=4 into y=6+x into y=106) Conclude with x=4 and y=10
JB
Answered by Joshua B. • Maths tutor
3451 Views

Find the integral of (2(3x+2))/(3x^2+4x+9).

Start by expanding out the bracket on the top of the fraction to get (6x+4)/(3x 2 +4x+9). Then using the trick of identifying that the fraction is in the form [g(x)]/[f(x)] where f’(x)=g(x), the solution is ...
EN
Answered by Elise N. • Maths tutor
3806 Views

(i) Find the gradient of the straight line passing through the points: (0,3) and (9,21). (ii) Write down the equation of the line in form y = mx + c

(i) To find the gradient of a straight light, we take any two (different) points on the straight line and compute the change in Y divided by the change in X. So here this is; (21-3)/(9-0) = 18/9 = 2. So the ...
CG
Answered by Charlie G. • Maths tutor
5599 Views