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otez555 [7]
3 years ago
9

Determine whether the polygons with the given vertices are congruent. support your answer by describing a transformation:

Mathematics
1 answer:
dsp733 years ago
7 0
<span>In this question, you would like to know weather the polygons with their given vertices are congruent and would like for the answer to be supported by a description of a transformation. A (2,-1), B (3,0), C (2,3) and P (1,2), Q (0,3), E (-3, 2). The triangles can be labeled as congruent because you can map ABC to PRQ by a simple rotation : (x,y) --> (-y,x).</span>
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Find the inverse of the function.<br> y = x2 + 4x + 4
Eddi Din [679]

Answer:

y = -2+\sqrt{x} and y = -2 - \sqrt{x} combined, or x = y^2 + 4y + 4

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y = x^2 + 4x + 4

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x = y^2 + 4y + 4

this is technically the inverse but I will simplify further

x = (y+2)^2

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3 1/8 ( 2/3 +2 2/3 (1 1/4 − 6/5 ))
pentagon [3]

The answer would be -9/40

Here’s how you solve it!

Use PEMDAS through out the whole process

Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))

Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))

Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:

3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)

Then use the greatest common divisor and reduce it by 2

3✖️1/8✖️(2/3➖2/3✖️19/10)

Then reduce again

3✖️1/8✖️(2/3➖1/3✖️19/5)

Then multiply the two factors so it now looks like this:

3✖️1/8✖️(2/3➖19/15)

Now subtract what’s in the parentheses so you get this:

3✖️1/8✖️(➖3/5)

Since a positive multiplied by a negative equals a negative it will now look like this:

➖3✖️1/8✖️3/5

Now all you have to do left is calculate the product to get your answer:

-9/40


Hope this helps! :3

7 0
4 years ago
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