Answer:
Part 1) The constant of proportionality is 
Part 2) The price of 6 bags of candy is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
step 1
Let
x ------> the number of bags of candy
y -----> the price
Observing the graph
For x=1
The value of y=6
so
Find the value of k (constant of proportionality)
substitute
The linear equation is equal to
step 2
Find the price of 6 bags of candy
For x=6
substitute in the equation and solve for y
Answer: 16m²
Step-by-step explanation:
A large rectangle has side lengths of 8 meters and 6 meters. This means that the area of the large rectangle will be:
= 8m × 6m
= 48m²
A smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle. Then, the area of the smaller rectangle will be:
= 4m × 2m
= 8m²
Since the smaller rectangle with side lengths of 4 meters and 2 meters is cut out of the large rectangle whose length is 8, meters and 6 meters, the remaining part of the rectangle will have length of (8m - 4m) = 4m and (6m - 2m) = 4m.
Area of the remaining part of the large rectangle will be:
= 4m × 4m
= 16m²
Answer:
(2, 120° )
Step-by-step explanation:
To convert from rectangular to polar form, that is
(x, y) → (r, Θ ), use
r = 
Θ = 
( 
)
here (x, y ) = (- 1, 
)
r = 
)^2
= 
= 
= 2
Θ = () = 60° ← related acute angle
Note (- 1, ) is in the second quadrant so Θ must be in the second quadrant.
Θ = 180° - 60° = 120°
(- 1, ) → (2, 120°)
The "20" under <em>n</em> means "When <em>n</em> is 20,". Therefor, on the other side of the table, 5n-2 would be 5(20)-2. 5*20=100, 100-2 is 98. The top missing value is 98.
For the other side, it's saying that 5n-2 is 38. You have to work backwards to get your answer. The opposite of -2 is 2, so 38 + 2 is 40. The opposite of *5 is /5, so 40/5 is 8. The bottom missing value is 8.
Answer: The new endpoints are (4,3) and (8,4)
Step by step:
First, reflext around the x axis. This really means flipping the sign of the y coordinates:
Then apply horizontal translation by +3 units. A horizontal translation means adding units to the x coordinates:
