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3 years ago

Write an equation for the translation of y=6\x that has the asymptotes x=-2 and y=-8

Mathematics

1 answer:

Alex3 years ago

5 0

F(x) = 6/x is to be translated down 8 units and left 2 units. It will become
f(x +2) -8

y = 6/(x +2) -8

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Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enoug

posledela

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

5 0

2 years ago

In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha

olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid meteor:

$1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2$

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

$x = \frac{525600}{1.2}$

x = 438000

∴ 438,000 meteors fell during the Perseid shower.

For Leonid meteor shower:

$4 + \frac{2}{3} = 4.67$

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

$4.67x = 525600$

$x = \frac{525600}{4.67}$

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0

3 years ago

For all values of x and y, which expression is equivalent to 8x + 6y? A) 2(4x + 3y) B) 2x + 3y C) 3(4x + 2y) D) 4(2x + 3y)

Reika [66]

The answer would be 2(4x + 3y) cause the 2 gets multiplied by the numbers in the parentheses so 2x4x = 8x and 2x 3y = 6y

8 0

3 years ago

WHAT IS A PERFECT CUBE!!!!!!??

VikaD [51]

A perfect cube is a cube that reduces "perfectly" without any decimals. Examples include √25 = 5
√100=10

5 0

3 years ago

Read 2 more answers

There are 12 tomato plants in a garden. Each plant has 7 branches ad each branch has 4 tomatoes growing on it. If one-third of t

Vika [28.1K]

Answer:

112

Step-by-step explanation:

4*7=28
28*12=336
336*(1/3)=112

7 0

3 years ago