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2 years ago

What fraction is represented by point A on the number line shown?

Mathematics

1 answer:

Archy [21]2 years ago

5 0

The fraction that is represented by point A of the number line shown is $1\frac{1}{3}$

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Which is the value of this expression when j=-2

Nuetrik [128]

Answer:

Step-by-step explanation:

(jk^-2/j^-1k^-3)^3

(-2)(-1)^-2

------------- ^3

(-2)^-1(-1)^-3

switch negative exponenst to other side

(-2)(-2)(-1)^3

__________

(-1)^2

4(-1)

-----

= -4

REMEMBER all to the 3rd power!

(-4)^3

-64

3 0

3 years ago

Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y

katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with

center (h , k) and transverse axis parallel to the x-axis is

(x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are (h ± a , k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is 2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0

3 years ago

Read 2 more answers

Information collected from runner 3# is in the table below

Shtirlitz [24]

Answer:

the constant of proportionality would be 9

5 0

3 years ago

Solve the equation 6.5 = -3+n

siniylev [52]

Answer:

9.5 = n

Step-by-step explanation:

6.5 = -3 + n

+3 +3 Add 3 to both sides

9.5 = n

If this answer is correct, please make me Brainliest!

7 0

3 years ago

Read 2 more answers

Which equation can be used to solve the following word problem? Seth has 8 more nickels than dimes, and the total value of his c

9966 [12]

Answer:

Seth has 21 nickels

Step-by-step explanation:

Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.

Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

$5n+10(n-8)=235.$

Solve this equation:

$5n+10n-80=235,\\ \\15n=235+80,\\ \\15n=315,\\ \\n=21.$

6 0

3 years ago