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Harlamova29_29 [7]
3 years ago
7

Factor completely 2x2 + 2x − 24. 2(x − 3)(x + 4) (2x − 6)(x + 4) (2x − 3)(x + 8) 2(x − 4)(x + 6)

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
2<span>x<span><span>​</span></span></span>² <span><span><span>​ ​</span></span></span>+ 2x − 2<span>4

</span><span>GCF = 2

2(2x</span>²/2 + 2x/2 - 24/2)
<span>
2(x - 3)(x + 4)</span>
Natali [406]3 years ago
4 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given polynomial is :

2x^2+2x-24

2 is common in each term of this polynomial, so

2(x^2+x-12)

2(x^2+4x-3x-12)

2[x(x+4)-3(x+4)]

Now (x+4) is common in both terms , so taking (x+4) common

2(x+4)(x-3)

or

2(x-3)(x+4)   :    Answer

Hope it will help :)

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PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.
N76 [4]

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

  • P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

  • P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

6 0
3 years ago
5.7y-5.2=y/2.5 how to solve
11Alexandr11 [23.1K]

5.7y-5.2=y/2.5

Add 5.2 to both sides:

5.7y = y/2.5 + 5.2

y/2.5 = 0.4y

5.7y = 0.4y + 5.2

Subtract 0.4y from both sides:

5.3y = 5.2

Divide both sides by 5.3:

y = 5.2/5.3

y = 0.98113

3 0
2 years ago
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RideAnS [48]
I think the answer is -x+2.
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If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.<br> A.68<br> B.16<br> C.23<br> D.18
borishaifa [10]

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

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The width is 2.5 in. Volume = Length x Width x Height

220 = 8 \times 11 \times x

\frac{220}{8}  = x = 2.5

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