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alisha [4.7K]
3 years ago
6

A coordinate plane with two polygons is shown. Polygon EFGH has vertices E at 1 comma 1, F at 1 comma 4, G at 5 comma 4, and H a

t 4 comma 1. Polygon E prime F prime G prime H prime has vertices at E prime negative 1 comma 2, F prime negative 4 comma 2, G prime negative 4 comma 6, and H prime at negative 1 comma 5. What set of transformations is performed on EFGH to form E′F′G′H′?
Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0

Answer:

Just here so you can give them brianliest but the answer is B!

Step-by-step explanation:

svetoff [14.1K]3 years ago
4 0

Answer:

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

Step-by-step explanation:

Polygons EFGH and E′F′G′H′ are shown on the coordinate grid:

What set of transformations is performed on EFGH to form E′F′G′H′?

A. A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin

B. A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin

C. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the right

D. A 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Answer: Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

If a point X(x, y) is translated a units right and b units up, the new location is (x + a, y + b) also If a point X(x, y) is translated a units left and b units down, the new location is (x - a, y - b)

If a point X(x, y) rotated 90-degree counterclockwise about the origin, the new location is X'(-y, k)

Polygon EFGH has vertices E(1, 1), F(1, 4), G(5, 4), and H(4, 1). If the polygon is translated 1 unit right, the new location is E*(2, 1), F*(2, 4), G*(6, 4) and H*(5, 1).

If it is then rotated 90-degree counterclockwise about the origin, the new location is E'(-1, 2), F'(-4, 2), G'(-4, 6) and H'(-1, 5)

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The base area of a cylinder is 200.96m2
Vitek1552 [10]

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

                                   = 1205.76 ÷ 200.96

                                   = 6 in

7 0
2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Aneli [31]
Slope of f(x)


Slope of g(x)


PART A)
The slopes of f(x) and g(x) are the same.

PART B)
The equation for line f(x)
y = 4x + b
-1 = 4(0) + b
-1 = b

y = 4x - 1

The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
4 0
4 years ago
In the year 2015 Emily was three times as old asKaitlin. By the year 2021 Kaitlin will be half asold as Emily will be. How old w
weeeeeb [17]

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

  • 2015 = E = 3K
  • 2021 = E = 2K  
  • 24 /// 8 --- 30 /// 14
  • 18 /// 6 --- 24 /// 12
  • 18/6 = 3
  • 24/12 = 2
  • 2015 = Emily was 24 years old
  • 24 - (2015 - 2000) = X
  • 24 - 15 = X
  • 9 = X

Therefore, in 2000 Emily was 9 years old.

Learn more in brainly.com/question/20025195

8 0
3 years ago
If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num
malfutka [58]

Answer:

The standard deviation will be: 2.1        

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

s=\sqrt{s^2}

As

  • The variance =  s² = 4.4

so the standard deviation can be calculated as:

standard deviation =\sqrt{s^2}

                                 =\sqrt{\left(4.4\right)^}

                                  =2.1

Therefore, the standard deviation will be: 2.1                      

8 0
3 years ago
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the numb
kipiarov [429]

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

3 0
3 years ago
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