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Ber [7]
2 years ago
5

Which mathematical statement shows the relationship between gravity and mass?

Mathematics
1 answer:
Alona [7]2 years ago
4 0

Answer:

F (force of gravity) = M (mass of an object) × G (acceleration due to gravity)

Step-by-step explanation:

Force of gravity (F) = Mass (M) × Gravitational acceleration (G)

The weight of an abject is equal to its gravitational force!

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.
barxatty [35]

Answer:

x=9,-1  and x^2+(-8)x=9

Explanation:

we have been given with the quadratic equation x^2-8x-9

we compare the given quadratic equation with general quadratic equation

general quadratic is ax^2+bx+c=0

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant D=b^{2}-4ac

D=(-8)^2-4(1)(-9)=100

Now, to find the value of x

Formula is x=\frac{-b\pm\sqrt{D}}{2a}

Now, substituting the values we will get

x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1

And rewritting the given equation by  shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

x^2+bx=c

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2 years ago
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The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F. In City 2
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I wanna say (C) would be your best bet correct me if I’m wrong
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In the local coed softball league the male to female ratio is 6:6 if there are a 160 players in the league how many are female
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Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is
Anna007 [38]

As given,  

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

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And for 1st month it will be = \frac{3825}{12}=  $318.75  

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= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0
2 years ago
Linda works at the U-Pick Berry Farm selling strawberries and raspberries. Her first customer of the day bought 3 quarts of stra
Komok [63]
To calculate the costs of a quart of strawberries and a quart of raspberries, use the two given condition to set-up an equation. Since two variables are unknown, it needs two equation to calculate the solution. Let x be the cost of a quart of strawberries and y as the cost of a quart of raspberries. So, 1st equation is 3x + 2y = 22, and 2nd equation is 5x + 4y = 39. Substitute one equation into the other by expressing one variable into another variable. Then, the answer is x = $3.5 and y = $5.75.
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