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german
3 years ago
7

What is the simplified form of 3a^2+6a+2b^2.

Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3

Step-by-step explanation:

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The side of an office building in hamburg Germany is in the shape of a parallelogram the area of the side of the building is abo
irakobra [83]

Answer:

47 meters

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

Given

  • The building is about 2150 square meters
  • The height of the building: 25 meters

As we know, the formula to find the area of a parallelogram is:

A = the base* the height

=> the base in this question is:

= The area / the height

= 2150 / 25 = 86 meters

As we can see in the photo, x + 39 meters = the base

=> x =  the base  - 39 meters

= 86 meters - 39 meters  

= 47 meters

3 0
3 years ago
The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original intege
Vitek1552 [10]

Answer:

398259

Step-by-step explanation:

Let from the given positive integers, x be the smallest integers,

Also, numbers are consecutive,

So, the second integer = x + 1,

Third integer = x + 2,

According to the question,

x^2+(x+1)^2+(x+2)^2=7805

x^2+x^2+2x+1+x^2+4x+4=7805

3x^2+6x+5=7805

3x^2+6x+5-7805=0

3x^2+6x-7800=0

x^2+2x-2600

By middle term splitting,

x^2+(52-50)x-2600=0

x^2+52x-50x-2600=0

x(x+52)-50(x+52)=0

(x-50)(x+52)=0

By zero product property,

x-50 = 0 or x + 52 =0

⇒ x = 50 or x = -52 ( not possible )

Hence, numbers are 50, 51, 52,

∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259

6 0
3 years ago
Free 100coins. (just giving back because this community is awesome)
mote1985 [20]

Answer:

TYSM!! Have a awesome day

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Step-by-step explanation:

7 0
3 years ago
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I need help!!! Pleasssse!!!!
TiliK225 [7]
What is the question
6 0
3 years ago
Two intersecting lines will form how many pairs of congruent angles? A. no pairs B. one pair C. two pairs D. three pairs
deff fn [24]

Two intersecting lines will form 2 pairs of congruent vertical angles. Congruent angles have the same angle measure; vertical angles are opposite angles formed by 2 intersecting lines.

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3 years ago
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