Jason can confirm the accuracy of his solution by substituting the calculated x value back into the original equation to check if it holds true. If the equality fails, it indicates that his calculated x is incorrect.
Refer to the explanation. A study analyzed responses to whether individuals believed there is a singular true love per person, alongside the education levels of the respondents categorized as HS (high school and below), Some (some college), or College (college grad and above). Is there a notable link between education level and belief about one true love? If an association is found, describe its nature.
Answer:
When point M (h, k) is rotated 180° around the origin O, its new position becomes M' (-h, -k). The signs of the coordinates are inverted.
In the graph provided, point H' is located at (-3,-2). Its corresponding pre-image, point H, will have coordinates that are the opposite signs of point H'.
Thus, coordinates of point H will be (3,2).
Step-by-step explanation:
Answer: The correct formulation is option A.)A = x(x − 4) − 0.5(8)(x − 4) − 4(8)
Step-by-step explanation:
To calculate the area that needs painting in the theater room in square feet, follow these steps:
1. Calculate the area of the theater room
Length: x
Width: x-4
A (area of theater room) = x (x-4)
2. Calculate the area of the right triangle
Height: x-4
Base: 8
A (area of right triangle) = 0.5 (8) (x-4)
3. Calculate the area of the rectangle designated as a closet
Length: 8
Width: 4
A (closet) = 8 (4)
4. The painted area is calculated by subtracting the areas of the right triangle and the closet from the total area of the theater room:
A= A(theater room) - A(right triangle) - A (closet)
A = x (x-4) -0.5 (8) (x - 4) - 4 (8)
Thus, the proper equation to compute the area is option A.
