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Citrus2011 [14]
3 years ago
8

Which inequality is represented by this graph?

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

x ≥ 4

good luck on the test bro :)

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Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
1 year ago
Rectangle A measures 9 in by 3 in in rectangle B is a scaled copy of rectangle A. all measurements
taurus [48]
Answer:
3
Step-by-step explanation:
2 +2 =4 -1 is 3
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3 years ago
Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want
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The perimeter is 35.  If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change.  This means that perimeter will no longer be 35.  So in order to keep the perimeter as it is, if we change one dimension, we must also change the other. Let's solve for the length, using the formula to see how much the length changes from. p = 2l + 2w 35 = 2l + 2(15) 35 = 2l + 30 5 = 2l 2.5 = l  We must increase the length from 2.5 feet.  This is because decreasing one dimension will decrease the perimeter.  But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
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3 years ago
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There are 20 packages of beef in a restaurant freezer. The average weight of 14 of the packages is 2 lb. The remaining packages
Shtirlitz [24]
I belive that the answer is about 180 lb.
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2 years ago
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What is the LCD for the fractions 5/6 and 3/8 PLZ HURRY
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The least common denominator for the fractions 5/6 and 3/8 is 24. 6 x 4 = 24, 8 x 3 = 24.
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