Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
Answer:
48
Step-by-step explanation:
i am a smart
Step-by-step explanation:
Given diameter of table (circular) =1.6m
radius =0.8m
area of circle = πr
2
=3.14×0.64=2.0096m
2
Now rate of polishing per meter square =15Rs
Cost of polishing table top = 15×2.0096
cost = 30.14m
2
Step-by-step explanation:
DE : JK
= 21 : 7
= 1 : 3
<h3>#CMIIW</h3>
10. The numbers on the horizontal line would be:
1, 2, 3, 4, 5, 6
11. Count how many of each number there is.
1- 3
2- 4
3- 2
4- 3
5- 2
6- 2
So numbers 1 and 4 will both have 3 dots above them and numbers 3, 5, 6 will have 2 dots above them.
