The 1:3 ratio means that the distance from A to the point is 1/4 of the distance from A to B.
The difference of y-coordinates is 10-8 = 2. 1/4 of that is 2·1/4 = 1/2, so the point of interest will have y-coordinate 8 + 1/2 = 8 1/2. This apparently corresponds to the first selection:
... (6 1/2, 8 1/2)
The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
-- the cost of renting a cooler
--- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:

So, we have:

Evaluate the products

Hence, the equation is 
Read more about linear functions at:
brainly.com/question/15602982
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
To find corresponding angles and sides, you look at the name of the figure and see which one correlates.
QUESTION 6
ABC and DEF
Corresponding Angles-
A,D
B,E
C,F
Corresponding Sides-
AB, DE
BC, EF
AC, DF
QUESTION 7
FGHI and KLMN
Corresponding angles-
F,K
G,L
H,M
I,N
Corresponding Sides-
FG,KL
GH,LM
HI,MN
FI,KN
8-
x=12
9-
y= 25.6
10-
z= 23 1/3
11-
36=k
Answer:On January 7, 1755, Georgia officially ceased to be a proprietary colony and became a crown colony. From 1732 until 1758, the minor civil divisions were districts and towns. In 1758, without Indian permission, the Province of Georgia was divided into eight parishes by the Act of the Assembly of Georgia on March 15.
Step-by-step explanation: