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>
The total amount paid in monthly payments is found by multiplying $70 by 10. This is the only information that is needed to find the amount paid over 10 months.
70 x 10 = $700
Ennifer will pay $700 in monthly payments.
Answer:
third option
Step-by-step explanation:
four times a number: 4n
add 8 to it: 4n + 8
All of this equals to -12.
Hence: 4n + 8 = -12
Answer:
D
Step-by-step explanation:
(if he gathers 4 coins each month you will need the variable by it. he was given 20 coins so it is added on to how many coins he has. plus it would be greater than because the question asked when he will have MORE than 50 coins.)
Answer:
Y=-2x + 5
Step-by-step explanation:
The line goes through the point (0,5) and the slope is -2.
