Answer:
Step-by-step explanation:
You and your friends = 4
Appetizers = 8*3 $ (3 appetizers)
Deserts = 4*2 $ (2 deserts)
Bill = 8*3 + 4*2
= 24 + 8
= 32 $
Each pays equally
= 32 / 4. ( 4 people are there)
= 8
So, you and your friends need to pay 8$ each to pay bill
Part A
The given line passes through (-2,2) and it is parallel to the line

We need to determine the slope of this line by writing it in slope -intercept form.


The slope of this line is

The line parallel to this line also has slope

The equation is

We substitute (-2,2)


The required equation is

PART B
The given line is

The slope of this line is

The slope of the line perpendicular to it is

The equation of the line is

We substitute the point, (-2,2)



The equation of the perpendicular line is
Break it down step by step. photo math will show you how to break it down and you will have your answer
Let x = Initial Price
If we increase x by 5%, we are adding 0.05x
Therefore, the new price = x + 0.05x = 1.05x
If the ticket has increased by £2.30, £2.30 is 5% of the initial price, or 0.05x
0.05x = 2.30
x = 2.30/0.05
x = 46
Therefore, the price of the ticket before the increase was £46
You can also check this backwards by doing 46*0.05 = 2.30
Answer:
Step-by-step explanation:
Given that a curve in polar coordinates is given by:
r=9+3cosθ
a) At point P, we have

Substitute to get

b) Cartesian coordinate is

c) At the origin r =0
when r =0
we have

Since cos cannot take values as -3 it doe snot pass through origin.