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Irina18 [472]
4 years ago
13

the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction f

orce between them is 75lbs when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart
Mathematics
1 answer:
Marat540 [252]4 years ago
8 0

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

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Dmitrij [34]

x is 53

angle PQD is equal to APQ. so its 62 degrees

PRC and PRD are supplement so their sum is 180.

PRD=115 PRC= 180 -115= 65

the sum of the angles of a triangle is equal to 180. so:

x = 180 - (62 + 65) = 53

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7 0
3 years ago
Use the long division method to find the result when x^3+7x^2+12x+6x 3 +7x 2 +12x+6 is divided by x+1x+1. If there is a remainde
Aliun [14]

Answer:

By long division (x³ + 7·x² + 12·x + 6) ÷ (x + 1) gives the expression;

x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}

Step-by-step explanation:

The polynomial that is to be divided by long division is x³ + 7·x² + 12·x + 6

The polynomial that divides the given polynomial is x + 1

Therefore, we have;

\ \ \ \ \ \  \ \ \ \ \ \ x^2 + 5\cdot x + 7\\ (x + 1) \sqrt{x^3 + 7\cdot x^2 +12\cdot x + 6} \\\ {} \  {} \ {}  \  \ {} \  {} \ {}  \ {} \  {} \ {}   \ {}     \ \ x^3 + 2 \cdot x^2 \\\  \ \ \ {} \   \ {} \  {} \ {}   \  \ {} \ {} \  \   \ {} \  {} \ {}  \  \ {} \  {} \ {}  \ \ 5 \cdot x^2 + 12\cdot x + 6\\  \ {} \  {} \ {}    \ {} \  {} \ {}  \ \ {} \ {} 5 \cdot x^2 + 5\cdot x\\\ 7\cdot x+6\\7\cdot x+7\\-1

(x³ + 7·x² + 12·x + 6) ÷ (x + 1) = x² + 5·x + 7 Remainder -1

Expressing the result in the form q(x) + \dfrac{r(x)}{b(x)}, we have;

(x^3 + 7\cdot x^2 + 12 \cdot x + 6)\div (x + 1) =  x^2 + 5 \cdot x + 7 - \dfrac{1}{(x + 1)}

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3 years ago
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3 years ago
What is the equation for the line that passes through (3, 2) and has a slope<br> equal to 12<br> 3
Papessa [141]

Answer:

Step-by-step explanation:

Remark

I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4

If that is the case then what you have so far is

Solution

y = 4x + b

The given point determines b

<em>Givens</em>

x = 3

y  = 2

<em>Given point</em>

2 = 4*3 + b

2 = 12 + b

b = 2 - 12

b = -10

The equation is y = 4x - 10

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