22. Rory has 24 counters and 19 cards. Each counter is a different colour.
Each card has a different symbol on it.
Rory is going to pick either two cards and one counter, or two counters and one card.
If Rory picks two cards and one counter, he places them on the table in the following order:
Card
Counter
Card
If Rory picks two counters and one card, he places them on the table in the following order:
Counter
Card
Counter
How many different ways can Rory place the counters and cards on the table?
You must show all of your working.

900 degrees

step-by-step explanation:

teleportation

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

we are given scale of 2 units.

on graph paper the space is 2.5 cm.

length of glass = 8 units.

8 units = 2 units +2 units +2 units +2 units.

each 2 unit is = 2.5cm.

therefore,

8 units = 2 units +2 units +2 units +2 units = 2.5+2.5+2.5+2.5= 10cm.