Task 2: The Math Teacher Act-Building A Parabolic Light Arch The second act of Talent Night needs a massive light apparatus for the singing math teachers.
The lights must be hung from the ceiling in a parabolic shape. The following information
explains how the lights are hung:
To make this parabolic shape, a metal track light bracket is needed which also serves to
hold the lights.
. The metal track light bracket is held to the ceiling by two chains which also bring
electricity to the lights.
• One chain is hooked to the bracket at a height of 10 m and 5 m to the right of the
centre of the stage.
• The second chain location is symmetrical to the first.
• The height of the highest light must be 18 metres above the stage and 7 meters to the
right of the stage.
• Each light must be 0.6 metres apart horizontally starting from the highest light.
Your task is to find the following information:
1. Find the equation of the metal track bracket in vertex form and standard form.
2. The coordinates where the bracket reaches the stage
3. The number of lights required to fill the bracket
4. The height of each light bulb
Ceiling
Chain
Lights
Note: This image is not
drawn to scale of the task
and NOT an accurate
representation of the act
Centre Stage

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺