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Doss [256]
2 years ago
7

Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25

Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

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3 years ago
A model for the density δ of the earth’s atmosphere near its surface isδ=619.09−0.000097pwhere p (the distance from the center o
natta225 [31]

Answer: 3.751*10^18kg

Step-by-step explanation:

δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.

Calculating the density of air at 5km above earth surface

P = 5000m + 6370000m = 6.375*10^6m

δ = 619.09 -(.000097* 6.375*10^6)

δ = 0.715kg/m^3 = density

Since Mass = density*volume...equ2

To calculate volume of air around the spherical earth at height 5km

V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6

Substituting R and r in equation 2 to solve for volume of air

V = 1.085*10^21 - 1.08*10^21

V = 5.25*10^18m^3

Substituting δ and V into equation 2 to solve for mass of air

M = 0.715 * (5.25*10^18)

M = 3.751*10^18kg

8 0
3 years ago
A gardener would like to keep animals out of his rectangular garden by putting up a fence. Find how much fencing is needed to en
Daniel [21]
To figure out the answer, you need to find the perimeter. To do this you know (93*2)+(63*2). Your answer is 312 ft.
8 0
3 years ago
YOU GET CORRECT YOU GET BRAINLIEST!!!!!!!
Virty [35]
The answer is 6 you just divide
5 0
3 years ago
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Andre45 [30]

Answer:

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Step-by-step explanation:


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