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Kamila [148]
3 years ago
13

Please help me! the correct answer will get brainliest

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0
The answer is a it’s pretty easy
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Which describes how triangle FGH could be transformed to triangle F prime G prime H prime in two steps? On a coordinate plane, t
charle [14.2K]

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>

4 0
3 years ago
Read 2 more answers
State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2
Stolb23 [73]

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

6 0
3 years ago
What is 8 divided by 108
patriot [66]

The answer is 13.5, hope this helps!

6 0
3 years ago
Read 2 more answers
5. James borrowed $80
Julli [10]

Answer:

$120

Step-by-step explanation:

15/100 (15%) × 80 = 120

5 0
3 years ago
Find the sum of the arithmetic sequence. -10,-7,-4,-1,2,5,8
Kazeer [188]

Answer:

example

Find the 21st term of: 2,8,14,20

a1=2

d=6

n=21

a21= 2+ (21-1)6

a21= 2+ (20)6

a21= 2+120

a21= 122

6 0
3 years ago
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