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Find the equation of a straight line that passes through the points (2,7) and (5,3)

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefor...

Answered by Joshua N. • Maths tutor

3257 Views

write x^2 + 10x - 6 in the form (x+a)^2 + b

(x + 5)² - 5² - 6(x + 5)² - 25 - 6(x + 5)² - 31

Answered by Thomas B. • Maths tutor

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solve; (6x - 2)/2 - (4x+7)/3 = 1-x

numerical answer x =-1/8 oe (or equivalent), but I am more interested in the method usedMy methodsimplify first fraction to 3x-1, multiply both sides by 3, collect like terms, divide through...

Answered by Ruth L. • Maths tutor

3067 Views

There are N counters in a bag, 4 being red and the rest being blue. I take two counters at random from the bag (without replacing the first).The chance i take two blue counters is 1/3, See below in the answer box

Show that n^2-13n+30=0We note that 4/N denotes the probability of a me picking a red counter and (N-4)/N denotes the chance of me picking a blue counter.Since I select two counters and do not replace the ...

Answered by Roshan P. • Maths tutor

7263 Views