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Svetach [21]
3 years ago
8

Polygon ABCD is defined by the points A(-4, 2), B(-2, 4), C(1, 3), and D(2, 2). Match the coordinates of the points of the trans

formed polygons to their correct values.
Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0

Answer:

First, we need to know how to transform a figure when we want to rotate it.

  • If we rotate 90° clockwise, the transformation is from (x,y) to (y,-x), and counter clockwise is from (x,y) to (-y,x).
  • If we rotate 180° in any direction, the transformation is from (x,y) to (-x.-y).
  • If we rotate 270° clockwise, the transformation is from (x,y) to (-y,x). And counter clockwise is from (x,y) to (y,-x).

Now, we use these rules to match each statement with its right answer.

<h3>First statement: </h3>

The coordinates of D', if polygon ABCD rotates 90° counter clockwise to create A'B'C'D', would be (-2,2).

<h3>Second statement: </h3>

The coordinates of C'' , if polygon ABCD rotates 90° clockwise to create A''B''C''D'', would be (3,-1).

<h3>Third statement: </h3>

The coordinates of A''', if polygon ABCD rotates 180° clockwise to create polygon A'''B'''C'''D''', would be (4,-2).

<h3>Fourth statement: </h3>

The coordinates of B'', if polygon ABCD rotates 270° counterclockwise to create polygon A''B''C''D'', would be (4,2).

Goryan [66]3 years ago
5 0

The answer is that if polygon ABCD rotates 90 counterclockwise to create a'b'c'd', then the coordinates of d will be at the location (-2, 2) and if the polygon ABCD rotates 180 clockwise to create a'b'c'd' the coordinate of A will become (3,-1).

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ale4655 [162]
The answer is C.1/2 because there is only possible numbers are 3,5,6.
3 0
3 years ago
PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater
jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

\log(x) = \log(2^y)

Apply the rule of logarithm

\log(x) = y\log(2)

Divide both sides by log(2)

y = \frac{\log(x)}{\log(2)}

Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

y = \log_2(2^3)

So, we have:

y =3 \log_2(2)

Evaluate log 2 base 2

y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0
2 years ago
Which is true about the product of 3/8 and 7/2. 1.The product is less than 3/8. 2.The product is greater than 1/8 and less that
GalinKa [24]

Answer:

4.The product is greater that 3/8 and less than 7/2.

Step-by-step explanation:

The product of 3/8 and 7/2 is:

\frac{3}{8} * \frac{7}{2} \\\\= \frac{21}{16} = 1\frac{5}{16}

This number is greater than 3/8.

It is greater than 1/8 but not less than 1/2.

This number is less than 7/2.

This number is greater than 3/8 and it is less than 7/2.

Hence, the correct options is 4.

7 0
2 years ago
In sale the normal price is reduced by 10% Nathalie bought a pair of shoes in the sale of 54 whats the original price
Sholpan [36]
$59.40 was the original price for the shoes

5 0
3 years ago
Need help solving this problem ​
natka813 [3]

Answer:

Part 1: \frac{11-x}{5} or \frac{11}{5}-\frac{x}{5}

Part 2: \frac{9}{5}

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get 5y=11-x (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}

y=\frac{11}{5}-\frac{x}{5}

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is \frac{11}{5}-\frac{x}{5}.

For the second part you must replace x with 2 since you need to find f(2).

\frac{11-2}{5}

Your answer for part 2 is \frac{9}{5}.

3 0
2 years ago
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