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BartSMP [9]
3 years ago
9

A hyperbola centered at the origin has a vertex at (0, 36) and a focus at (0, 39)

Mathematics
2 answers:
borishaifa [10]3 years ago
4 0
To solve this problem you must apply the proccedure shown below:

 1. The vertex i at <span>(0, 36) and a focus at (0, 39), then you have:

 a=36
 a^2=1296

 2. The directrix is:

 y=a^2=c
 c=39
 y=1296/39
 </span>y=432/13<span> 

 Therefore, the answer is the option D, which is: </span><span>D. y=± 432/13</span>
solniwko [45]3 years ago
4 0

Answer:

D. y=± 432/13

Step-by-step explanation:

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Eduardwww [97]

Answer:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

We are told that:

A cube has volume 64 centimeters cubed.

The formula for the volume of a cube = s³

Where s = side length

Hence

64 cm³ = s³

We can find s by finding the cube root of both sides

Hence,

cube root(64) = cube root(s³)

s = 4 cm

Note that 64 is a perfect cube because 4 × 4 × 4 = 4³ = 64 cm³

Therefore, it can be concluded of the cube that:

This is a perfect cube.

The side length is 4.

Taking the cube root of the volume will determine the side length.

3 0
3 years ago
Find the distance between (-4,6) and (3,-7)
Natali5045456 [20]

Answer:

4-6 is 2 and 3-7 is 4

Step-by-step explanation:

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8 0
3 years ago
The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0
2 years ago
If SS= 162 from a sample of 15 data, find s^2
Genrish500 [490]

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

s^2=\frac{SS}{n-1}

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57

8 0
3 years ago
Which choice is it ?
Free_Kalibri [48]

Answer:

B. 10 acres

Step-by-step explanation:

7 0
3 years ago
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