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2 years ago

Rearrange the formula v = GM r for G.

Mathematics

2 answers:

Ksju [112]2 years ago

8 0

Answer:

G= $\frac{rv^{2} }{M}$

Step-by-step explanation:

Anna35 [415]2 years ago

6 0

Answer:

$G =\frac{v}{Mr}$

Step-by-step explanation:

Division property of equality states that you divide the same number to both sides of an equation.

Given the formula:

$v = GMr$ ...[1]

Solve for G:

Apply the division property,

Divide both sides by Mr in equation [1] we have;

$\frac{v}{Mr} =\frac{GMr}{Mr}$

Simplify:

$\frac{v}{Mr} = G$

$G =\frac{v}{Mr}$

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Multiply the first equation by –2 to create opposite terms for x.

Multiply the first equation by –4 to create opposite terms for y.

Add the system of equations to eliminate a variable.

Step-by-step explanation:

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2 years ago

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Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m

VLD [36.1K]

<h2>Answer:</h2>

The average speed of car is:

0.75 miles per minutes.

The equation of line is:

$n=\dfrac{3}{4}t$

<h2>Step-by-step solution:</h2>

The table that describes the time and number of miles marked is given by:

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i.e. the average speed is calculated as the ratio of change in miles to the change in time.

Hence,

$Average\ Speed=\dfrac{3-0}{4-0}\\\\\\i.e.\\\\\\Average\ Speed=\dfrac{3}{4}=0.75$

Hence, the average speed=0.75 miles per minutes.

Also we will find the equation of the lines that related the miles and time by using the two-point formula.

i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here (a,b)=(0,0) and (c,d)=(4,3)

i.e. the equation is given by:

$n-0=\dfrac{3-0}{4-0}\times (t-0)\\\\i.e.\\\\n=\dfrac{3}{4}t$

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2 years ago

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Sliva [168]

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Step-by-step explanation:

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

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we know that $cos^2A+sin^2A=1$ , so we have that

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$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

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2 years ago