To determine the counter clockwise rotation of 180 degree about the origin
When rotating a point 180 degrees counterclockwise about the origin our point H(x,y) becomes H'(-x,-y).

From the rotation formula about the origin counterclockwise 180 degree is

Therefore the correct answer is Option A
Answer:
a. C = $ 10.50x b. 2 persons
Step-by-step explanation:
a. Write an equation to find how many people visited in a hour
Let x be the number of persons admitted in one hour. Since the movie theater charges 10.50 per person for admission, then the total admission fees would be C = charge per person × number of persons = $ 10.50 × x = $ 10.50x.
C = $ 10.50x
b. Solve an equation to find how many people visited in a hour
Given that C = $19.11, and C = $ 10.50x, so,
x = C/($10.50)
substituting C into the equation, we have
x = $19.11/$10.50
x = 1.82
Since we cannot have a decimal number of persons, x is rounded up to the nearest whole number. So,
x = 1.82
x ≅ 2
So, two people visited the theater in one hour.
Answer:
about 12.6 feet
Step-by-step explanation:
i hope it helped
Answer:
4/3
Step-by-step explanation:
Answer:
Each term in pattern Y is 3 times the corresponding term in pattern X.
Step-by-step explanation:
Given the information:
X - 0, 5, 10, 15, 20
Y - 0, 15, 30, 45, 60
We can use deduce from physical observation of the data that each term in pattern Y is 3 times the corresponding term in pattern X.
However, to establish our relationship, we can plot the linear relationship and generate the equation of the line.
Thus gives us :
Y = 3X + 0
Which means for every pattern in Y, it is 3 times the corresponding pattern in X