The points after Dilation are (0,0), (9,-3), and (9,9).
Step-by-step explanation:
The given points are A(0,0), B(3,-1), and C(3,3).
The scale factor is 3.
[tex]D_{new}[/tex]([tex]p_{x} , p_{y}[/tex]) = scale factor × ([tex]p_{x} , p_{y}[/tex]) .
If the triangle starts form the origin (0,0) retains the same after the dilation.
[tex]D_{Anew}(p_{x} , p_{y})[/tex]= (0,0).
For point B(-1,3),
[tex]D_{Bnew}(p_{x} , p_{y})[/tex] = 3 × (3,-1).
[tex]D_{Bnew}(p_{x} , p_{y})[/tex] = (9,-3).
For Point C(3,3),
[tex]D_{Cnew}(p_{x} , p_{y})[/tex] = 3 × ( 3,3).
[tex]D_{Cnew}(p_{x} , p_{y})[/tex] = ( 9,9).
Refer the graph for dilated triangle.
A rectangular room is 12 feet wider than its a long how many 1 ft.² tiles does it take to tile along the inside of the room let X represent the length of the room
To find the number of tiles required to tile the inside of a rectangular room, calculate the area of the room, and divide it by the area of each tile.
Explanation:To find the number of 1 ft.² tiles required to tile the inside of the room, we need to calculate the area of the room. Let's assume the length of the room is X feet. Since the room is 12 feet wider than its length, the width of the room would be X + 12 feet. The area of the room is given by length multiplied by width, which is X * (X + 12). To convert this into square feet, we need to multiply by 1, as 1 square foot is 1 ft.². Therefore, the area can be expressed as X * (X + 12) ft².
Next, we need to divide the area of the room by the area of each tile, which is 1 ft.². The formula to calculate the number of tiles required is:
Number of tiles = (Area of the room) / (Area of each tile)
Substituting the values into the formula, we get:
Number of tiles = X * (X + 12) ft² / 1 ft²
Simplifying, we have:
Number of tiles = X * (X + 12) ft²
Learn more about Calculating the area of a rectangular room and determining the number of tiles required here:https://brainly.com/question/28183749
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A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours
Answer:
8 chickens
Step-by-step explanation:
Firstly, we need to know the number of eggs produced by a single chicken in 24 hours.
Since 2 chickens produce 6 eggs in 24hours, this means 1 chicken will produce 3 eggs in 24 hours.
Now, we need 24 eggs to be produced. Since the time is the same 24hours, meaning time is constant, the number of chickens required to produce 24 eggs will be 24/3 = 8 chickens
Hence, we can say that 8 chickens will produce 24eggs in 24 hours
8 chickens will be needed to produce 24 eggs in 24 hours.
Given,
2 chickens produces 6 eggs in 24 hours.
So, 1 chicken produces 3 eggs in 24 hours.
We have to calculate the no of chicken needed to produce 24 eggs in 24 hours.
Since 1 chicken produces 3 eggs in 24 hours.
So, 1 egg is produced by [tex]\dfrac{1}{3}[/tex] chicken in 24 hours .
Now, 24 eggs is produced by [tex](\frac{1}{3} \times24=8)[/tex] chickens.
Hence 8 chickens will be needed to produce 24 eggs in 24 hours.
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https://brainly.com/question/12116123