In accordance with the definitions of <em>rigid</em> transformation and translation, the <em>correct</em> rule for the translation is defined by (x, y) → (x - 3, y + 4). (Right choice: A)
<h3>How to derive the mathematic expression behind a transformation rule</h3>
Mathematically speaking, transformations are <em>rigid</em> transformations that are modelled according to the following formula:
P'(x, y) = P(x, y) + (h, k) (1)
Where:
- P(x, y) - Original point
- P'(x, y) - Resulting point
- h - Horizontal rightward translation
- k - Vertical upward translation
Hence, a <em>leftward</em> translation indicates that h < 0. The <em>correct</em> rule for the translation is defined by (x, y) → (x - 3, y + 4).
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Answer:
1.75 meters² or 175 centimeters²
Step-by-step explanation:
Step 1: Find Area of the Base.
- Base is a square with dimensions of 7cm by 7cm
-
Step 2: Find the Area of the Triangles.
- Each triangle has a base of 7cm and a height of 9cm.
- 7 x 9 = 63, and 63/2 = 31.5
- 31.5 x 4 = 126 cm²
Step 3: Add the areas together.
-
- 175 cm²
Thus, the surface area is 1.75 m^2 or 175 cm^2.
The answer is 16
good luck
Answer:
Step-by-step explanation:
P = pigs D = ducks
P + D = 17
P = 17 – D
4P + 2D = 50 because pigs have 4 feet
and ducks have 2 feet.
4(17 – D) + 2D = 50
68 – 4D + 2D = 50
.68 – 2D = 50
–2D = –18
D = 9
P = 17 – D
P = 17 – 9
9 = 17 – D
D = 8