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3 years ago

How are arithmetic and geometric means similar and how are they different?

Mathematics

1 answer:

alisha [4.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

Both Geometric Mean vs Arithmetic Mean are the tools to calculate the returns on investment in finance and also used in other applications such as economics, statistics

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Consider the graph of the line y = x – 4 and the point (−4, 2).

Hitman42 [59]

Answer:

a. The slope of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

a. For the line $y = x - 4$

You can identify that:

$m=1$

By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:

$m=1$

b. The equation of the line in Point-slope form is:

$y -y_1 = m(x - x_1)$

Where m is the slope and ( $x_1,y_1$ ) is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = (x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=1$ :

$y -2 = (1 +4)$

$y= 5+2$

$y= 7$

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:

$m=-\frac{1}{1}\\\\m=-1$

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = -1(x +4)$

$y -2 = -(x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=3$ :

$y -2 = -(3 +4)$

$y= -7+2$

$y= -5$

Then, you get the point (3,-5)

8 0

4 years ago

Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta A. x + y = 2 B. y = 2x C. x =

Mila [183]

$r=2\cos\theta$
$r^2=2r\cos\theta$
$\implies x^2+y^2=2x$
$x^2-2x+y^2=0$
$x^2-2x+1+y^2=1$
$(x-1)^2+y^2=1$

8 0

3 years ago

Read 2 more answers

F/13 = 6.2 what is the value of f

nekit [7.7K]

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

$\displaystyle\frac{a}{26}=17.9$

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

$\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4$

Therefore, we can apply this same technique to the equation $\frac{f}{13}=6.2.$

$\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}$

Therefore, the value of f is 80.6.

5 0

3 years ago

Read 2 more answers

4/-7 + -6/5 <br><br>In simplest form

nlexa [21]

See attachment for math work and answer.

6 0

4 years ago

Jose car rental company charges $2.75 for a pick up plus $1.25 for each mile driven. How much would you pay to travel 25 miles ?

mote1985 [20]

Answer:

$34 and 77.8 miles

Step-by-step explanation:

The computation of the amount for traveling 25 miles is shown below:

Since it is given that the rental company charges $2.75 plus $1.25 for each mile

So for 25 miles, the cost you have to pay is

= $2.75 + 25 miles × $1.25

= $2.75 + $31.25

= $34

Now for traveling for $100, the miles should be traveled is

= ($100 - $2.75) ÷ 1.25

= 77.8 miles

Hence, the same is to be considered

5 0

3 years ago

How are arithmetic and geometric means similar and how are they different?​

How are arithmetic and geometric means similar and how are they different?