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Solve the simultaneous equations: 6x + 3y = 42 4x + 7y = 38

6x + 3y = 42 => y = 14 - 2x (1 method mark)4x + 7y = 38 (substituting in y) => (1 method mark) 4x + 7(14 - 2x) = 384x + 98 - 14x = 38-10x + 98 = 3860 = 10x => x = 6 (1 answer mark) => y = 14 -...

DT
Answered by Daniel T. Maths tutor
3413 Views

It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.

z = 3i(7-i)(i+1)= 3i(7i-i+7-i2 )= 3i(6i+8)= 18i2 +24 (1 method mark)= 24i-18 (1 method mark)k=18 (1 answer mark)

DT
1933 Views

What are surds and how do I use them ?

Surds are irrational numbers, (numbers which cannot be expressed as fractions), and normally shown as a number instead a square root, but the number itself isn't a square. For example root 3 is a surd, wh...

RH
Answered by Roly H. Maths tutor
5654 Views

Astronauts on the ISS orbit Earth 16 times a day at a height of 400km above the surface. Given that the radius of Earth is approximately 6400km, how fast are the astronauts travelling?

v = 2𝜋R/T where R is the orbital radius, T is the time period.R = radius_of_earth + height_of_orbit = 6800km + 400km = 6800km = 6.8×106m.T = hours_in_day/number_of_orbits_in_day = 24/16 hours =...

PV
Answered by Paaryn V. Physics tutor
2100 Views

What is the function of the cell membrane?

It controls what enters and leaves the cell.

YA
Answered by Yemi A. Biology tutor
2189 Views

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