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vlabodo [156]
3 years ago
8

Use the grouping method to factor this polynomial. x^3+2x^2+7x+14

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

x

3

+

2

x

2

−

7

x

−

14

x3+2x2-7x-14

Factor out the greatest common factor from each group.

Tap for more steps...

x

2

(

x

+

2

)

−

7

(

x

+

2

)

x2(x+2)-7(x+2)

Factor the polynomial by factoring out the greatest common factor,  

x

+

2

x+2.

(

x

+

2

)

(

x

2

−

7

)

hope i helped! (sorry if wrong)

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the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y
Oxana [17]

Answer:

<u>The correct answer is r = ∛GM*T²/4π²</u>

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

<u>The correct answer is r = ∛GM*T²/4π²</u>

7 0
3 years ago
Help with this please
Harlamova29_29 [7]
If C is the MIDPOINT of BD, and BD equals 12, then what does CD equal?
AD = AC+CD, so you only need to find length of CD and add length of AC (which you already have) to it.
Hope this helps
3 0
3 years ago
HELP IM CONFUSED PLS PLS WINNER GETS 8 POINTS
MrRa [10]
(10x4x5)+(5x5x5) because you could make 2 shapes out of it. one being a cude that is 5x5x5 and the other being a rectangle that is 4x10x5 thenyou would just add them together. :) hope that helps

3 0
3 years ago
A survey was conducted to determine the popularity of three foods among students. The data collected from 75 students are summar
Andrews [41]

Answer:

20

Step-by-step explanation:

Total no = 75

N (P) = 48 , N (H) = 45 , N (T) = 58

N (P∩H) = 28 , N (H∩T) = 37 , N (P∩T) = 40

N (P∩H∩T) = 25

Total no = N (P) + N (H) + N (T) - N (P∩H)  -  N (H∩T) - N (P∩T) + N (P∩H∩T) + neither

75 = 48 + 45 + 58 - 28 - 37 - 40 + 25 + neither

75 = 71 + neither → neither = 4

N (only P) = N (P) - N (P∩H)  - N (P∩T)  + N (P∩H∩T) = 48 - 28 - 40 + 25 = 5

N (only H) = N (H) - N (P∩H) - N (H∩T) +  N (P∩H∩T) = 45 - 28 - 37 + 25 = 5

N (only T) = N (T) - N (H∩T) - N (P∩T) + N (P∩H∩T) = 58 - 37 - 40 + 25 = 6

So, total liking either one or neither = 4 + 5 + 5 + 6 = 20

4 0
3 years ago
PLEASE HELP!!! DONT IGNORE ME!!!
MrRa [10]
1. 2x^2-x-15=0
A = 2
B = -1
C = -15

2. 10^2-2x=0
A = 10
B = -2
C = 0

3. x^2–3x-40=0
A = 1
B = -3
C = -40

4. x^2+3x-2=0
A = 1
B = 3
C = -2

5. 4x^2-17x+8=0
A = 4
B = -17
C = 8

Remember the equations should look like Ax^2+Bx+C=0 (in this order!!)
5 0
3 years ago
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