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NemiM [27]
3 years ago
5

Which of the following is the correct factorization of the polynomial below? 2x^2-8x+8

Mathematics
2 answers:
Akimi4 [234]3 years ago
5 0

Answer:

2(x-2)²

Step-by-step explanation:

We have to factorize the given expression.

2x² - 8x + 8  =  2[x²- 4x + 4]

                    = 2(x - 2)²       [since (a-b)² = a² + b² - 2ab]

Therefore, 2(x-2)² is the correct factorized form.

il63 [147K]3 years ago
4 0
The correct factorization is
   2(x-2)²
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What is the length of line PS
stiks02 [169]
PQ^2 = PR \times PS

(4x + 4)^2 = (3x + 3)(3x + 3 + 21)

16x^2 + 32x + 16= (3x + 3)(3x + 24)

16x^2 + 32x + 16= 9x^2 + 81x + 72

7x^2 - 49x- 56 = 0

7(x^2 - 7x - 8)= 0

(x - 8)(x + 1) = 0

x - 8 = 0~~~or~~~x + 1 = 0

x = 8~~~or~~~x = -1

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48
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3 years ago
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2 years ago
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Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run
Monica [59]

The number of kilometers she will have left to run to finish the race is 0.9 km.

<u>Given the following data:</u>

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  • Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}

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<u>For the </u><u>distance left</u><u>:</u>

Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

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2 years ago
Bob can paint a fence in 5 hours, and working with Jen, the two of them painted a fence in 2 hours. How long would it have taken
irakobra [83]

Answer:\frac{10}{3}

 

Step-by-step explanation:

Given

Bob can Paint a fence in 5 hr

so full job can be done in 5 hr

in 1 hr \frac{1}{5} job is done

suppose Jen done the work in x hr

so in 1 hr \frac{1}{x} part of job is done

Also if they combine they can do the job in 2 hr

so in 1 hr \frac{1}{2}

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\frac{1}{x}=\frac{1}{2}-\frac{1}{5}

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