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Andrej [43]
3 years ago
15

Figure ABCDE was reflected across the line y=x to create figure A’B’C’D’E’.What are the coordinates of the pre-image of E’?

Mathematics
2 answers:
Minchanka [31]3 years ago
7 0

Answer:

the answer is -2,6

Step-by-step explanation:

Furkat [3]3 years ago
7 0

Answer:

(-2, 6) on edge

Step-by-step explanation:

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Divide the polynomial x^3+x^2-2x+3 by (x-1)​
Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³.  Divided by x, that's x².  So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again.  First term is 2x².  Divided by x is 2x.  So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0
3 years ago
8/3 × (−2 1/2) = ?<br><br><br>Thanks!
Veronika [31]

Answer: -20/3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If a baby weighed 3 and 3/8 how many more pounds would it have to gain to reach 5 1/2 pounds
Volgvan
First, get common denominators
At the same time, turn these into mixed numbers
27/8 + x = 44/8
Subtract 27/8 from both sides
x = 2 1/8 pounds
Let’s x be how many more pounds the baby needs
6 0
3 years ago
How do I solve question 6 through 8?<br> Solve for me
rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

y = a(x - h)^2 + k

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

Read more about parabola at:

brainly.com/question/1480401

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5 0
2 years ago
You make skateboard ramps by cutting pieces from a board that is 12 1/2 feet long.
Stels [109]
The length of the ramp is unknown. 
If 6 ramps were cut from a board that is 12 1/2 feet long, the ramps would be about 2 feet long each which seems like a reasonable answer. The questions regarding how many boards are cut would need the length of the ramps. Lets say that the length is x. You can get 12 1/2 divided by x boards. In order to find out how much is left over, take the number of boards made, multiply it by how long they are. This product is then subracted from 12 1/2. 
5 0
3 years ago
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