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The circle c has equation x^2+y^2 = 1 . The line l has gradient 3 and intercepts the y axis at the point (0, 1). c and l intersect at two points. Find the co-ordinates of these points.

When approaching intersection problems, it is important to have both equations and solve them by substituting one into the other or simultaneously. First we need to find the equation of the line l since w...

ET
Answered by Ellen T. Maths tutor
3890 Views

Susan is researching the population growth of a city. She proposes that x, the number of people in the city, t years after 2017 is given by x=250,000e^(0.012t) A.population in 2017 B.population in 2020 C.During which year would the population have doubled

A. t=0 ; x=250,000 B. 2020, so t=3. plug in to equation > x=250,000e^(0.012)3 = 259,163 (people so cannot round up) C. Population to double so 500,000 = 250,000e^(0.012)t -> 1/0.012(ln2) = t t= 57.7...

JG
Answered by James G. Maths tutor
4463 Views

write ( 4 x 10^-3) x ( 9 x 10^14) in standard form

the first thing we need to do is rearrange the order of our question to ( 4 x 9 ) x (10^-3 x 10^14). now (4 x 9) = 36 (10^-3 x 10^14) = 10^(-3 + 14) = 10^11 so our answer is 36 x 10^11 however this is not...

SS
Answered by Sam S. Maths tutor
11203 Views

Find an equation of the circle with centre C(5, -3) that passes through the point A(-2, 1) in the form (x-a)^2 + (y-b)^2 = k

step 1 remember than the a and b terms locate the centre of the circle on the axis so we can substitute in the centre values for a and b. (x-5)^2 + (y-(-3))^2 = k. (x-5)^2 + (y+3)^2 = k.

Step 2. k ...

TW
Answered by Tim W. Maths tutor
5178 Views

How would you solve a simultaneous equation?

Solving a pair of simultaneous equations should ALWAYS begin in labelling each equation. I would go about labelling the first equation (1) and the second (2). A quadratic simulataneous equation question i...

DB
Answered by Declan B. Maths tutor
3983 Views

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