Answer:
The point P' is the image of the point P under the translation
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
Coordinates of the point P':
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
Step-by-step explanation:
1/4(6) + 3(7)
6/4 + 21
3/2 + 42/2
45/2= 22 1/2
Answer:
25 grams
Step-by-step explanation:
Pennies made after 1984 weigh 2.5 grams. How much would 10 pennies weigh?
From the above question:
1 penny = 2.5 grams
10 pennies = x grams
Cross Multiply
1 × x grams = 10 pennies × 2.5 grams
x grams = 25 grams.
Hence, the weight of 10 pennies is 25 grams
Answer:
Assuming you mean "American History V World History"
American History tends to focus on the history of the United States, beginning largely with the colonial era and tracking forwards towards the present. It's largely a national history. World History, on the other hand, is far more encompassing, both geographically as well as temporally.
Assuming you mean "Global History V World History"
World history encompasses a history that is not necessarily completely interconnected through globalization, while global history examines this specific history of inter-connectivity. World History examines the individual histories of different locations around the world, whereas Global History examines how those locations are connected.
First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.
Answer:
Could you include the entire picture in your question please? It would help me to answer your question.
Step-by-step explanation: