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12345 [234]
3 years ago
10

Factor 5x2 + 10x + 2x + 4

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

(5 x + 2) (x + 2)

Step-by-step explanation:

Factor the following:

5 x^2 + 10 x + 2 x + 4

10 x + 2 x = 12 x:

5 x^2 + 12 x + 4

Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):

2 (5 x + 2) + x (5 x + 2)

Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):

Answer: (5 x + 2) (x + 2)

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Find the arc length of the partial circle.
nalin [4]

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

7 0
3 years ago
Read 2 more answers
1) Subtract 2x + 4 from 3x - 2<br> ?
Dmitry_Shevchenko [17]

Answer:

x + 2 is the answer I think...

4 0
3 years ago
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△ABC △ABC  is similar to △LMN △LMN . Also,  side AB measures 5 cm,  side AC measures 7 cm, and  side L​M measures 35 cm.
dolphi86 [110]
You need to apply "Proportionality theorem" here:
LM / AB = LN / AC
35 / 5 = LN / 7
LN = 7 * 7
LN = 49

In short, Your Answer would be 49 cm

Hope this helps!
4 0
3 years ago
Read 2 more answers
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
sergiy2304 [10]

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less 

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

8 0
3 years ago
Read 2 more answers
Ling our 1500 in a savings account the simple interest rate is 1.5% how much simple interest will he earn after three years
natima [27]

Answer:

Step-by multiply 1500 × 0.015 × 36 to get that:

The interest is: $810.00

4 0
3 years ago
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