30. 9, -27, 81, -243, ... Find the next number
1 answer:
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Answer:
The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0) ⇒ (A)
Step-by-step explanation:
<em>Let us talk about dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does not change.
- The scale factor measures how much larger or smaller the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
→ If point (x, y) dilated with scale factor m about the origin, then
→ Its image is (m x, m y)
<em>Let us solve the question</em>
∵ ΔXYZ has vertices:
→ X = (0, 0)
→ Y = (6, 9)
→ Z = (15, 0)
∵ ΔXYZ is dilated by a scale factor 1/3 about the origin
→ Multiply each coordinate in each vertex by the scale factor 1/3
∵ (0 × , 0 ×
)
∴ X' = (0, 0)
∵ (6 × , 9 ×
)
∴ Y' = (2 , 3)
∵ (15 × , 0 ×
)
∴ Z' = (5, 0)
∴ The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0)
Hi there!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be -
Now, just cross multiply and solve for x.
Therefore, the length of the missing side would be 8. Hope this helped!
The question here is basically asking us to use ratios to find the length of the missing side. To do this, we must first construct a ratio. The best one would be -
Now, just cross multiply and solve for x.
Therefore, the length of the missing side would be 8. Hope this helped!