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aksik [14]
3 years ago
7

Prove the polynomial identity.

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Explanation:

Since we have given that

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

Now, we have to prove it as

(2x+1)(2x-1)

Now, start the iterations:

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

So, first blank will be filled with

4x^2+4x+1

Second blank will be filled with

4x^2-1

Hence proved.

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Which table represents the function y = 3 x – 1?
Katena32 [7]

Answer:

the first set of values is correct

Step-by-step explanation:

when x =0,

y = 3(0) -1

y=-1

when x =1,

y=3(1)-1

y=2

when x=2,

y=3(2)-1

y=5

7 0
3 years ago
Which sequence of transformations carries ABCD onto HGFE?
Korvikt [17]
D.

Look at top left coordinate (2,-1)
Eight units left = (2-8,-1) = (-6,-1)
Reflection across x axis means change in y
(-6,-1) to (-6, 1) :)
6 0
3 years ago
Please answer i need help quick
Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0
3 years ago
Helpppp I need this for rn thank youuuuu❤️
irinina [24]

Answer:

-1,7

0,-3

1,-7

5,47

Step-by-step explanation:

-x-=+

6 0
3 years ago
Read 2 more answers
Plz asap 1. (5 points) What is the value of x? Show all of your work. Round your answer to the nearest tenth.
nalin [4]

Answer:

X = 20.6 inches

Step-by-step explanation:

Pythagorean Theorem: A^{2} =B^{2} +C^{2}

A = 41.2 in, while B = 35.7 in and we are solving for C.

41.2^{2} = 35.7^{2} +C^{2}

1697.44 = 1274.49 + C^{2}

Now solve for C

422.95 = C^{2}

Take the square root

20.5657482237 = C

3 0
4 years ago
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