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Artemon [7]
2 years ago
15

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

Mathematics
2 answers:
likoan [24]2 years ago
4 0
To solve this problem you must apply the proccedure shown below:
 1. You have that the hyperbola <span>has a vertex at (0,36) and a focus at (0,39).
 2. Therefore, the equation of the directrices is:

 a=36
 a^2=1296
 c=39

 y=a^2/c

 3. When you susbtitute the values of a^2 and c into </span>y=a^2/c, you obtain:
<span>
 </span>y=a^2/c
<span> y=1296/13

 4. When you simplify:

 y=432/13

 Therefore, the answer is: </span><span>y = ±432/13</span>
Anit [1.1K]2 years ago
4 0

Answer:

The answer is D

Step-by-step explanation:

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At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st
EastWind [94]

<u>Answer:</u>

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

<u>Step-by-step explanation:</u>

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = \frac{609}{58} = 10.5

Checking for ratios of the given options:

A. \frac{483}{42} =11.5

B. \frac{378}{28} =13.5

C. \frac{504}{48} =10.5

D. \frac{560}{56} =10

E. \frac{315}{30} =10.5

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0
2 years ago
Read 2 more answers
If 2^2008 – 2^2007 - 2^2006 + 2^2005 = k * 2^2005 then the value of k is equal to​
scZoUnD [109]

Step-by-step explanation:

Maths

Bookmark

if 2

2008

−2

2007

−2

2006

+2

2005

=k ⋅2

2005

then the value of k is equal to

Answer

Correct option is

B

3

2

2008

−2

2007

−2

2006

+2

2005

=k⋅2

2005

⇒[2

2008

−2

2006

]−[2

2007

−2

2005

]=k⋅2

2005

⇒2

2006

(2

2

−1)−2

2005

(2

2

−1)=k⋅2

2005

⇒3(2

2006

−2

2005

)=k⋅2

2005

⇒3[2

2005

(2−1)]=k⋅2

2005

⇒3(2

2005

)=k⋅2

2005

On comparing, we get

k=3

Hence, Option B is correct.

5 0
1 year ago
Read 2 more answers
Write the number that is ten thousand greater than 563,626.
Natasha2012 [34]

For this case we have the following number:

563,626

To answer the question, we must add 10,000 to the given number.

We have then:

563,626 + 10,000

From here, we add both numbers and find the answer.

We have then:

563,626 + 10,000 = 573,626

Answer:

the number that is ten thousand greater than 563,626 is:

573,626

6 0
2 years ago
Read 2 more answers
George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.
Free_Kalibri [48]
Draw a diagram to illustrate problem as shown below.

Let h = the height of the tree.

Because ΔABC ~ ΔADE, therefore
DE/BC = AD/AB

That is,
h/1.94 = (5.1 + 10.2)/5.1 = 3
h = 1.94*3 = 5.82 m

Answer: 5.82 m

7 0
2 years ago
Bob left home, riding his bike at a rate of 10mph to go to the lake. Cheryl, his wife, left 45 minutes ( 0.75 hour) later, drivi
Marina86 [1]

Answer:

30 minutes

Step-by-step explanation:

Let's find how much Bob had covered before Cheryl left.

We need to find Bob's distance in 45 minutes (0.75 hour).

We know D = RT, where D is distance, R is rate, T is time. So,

D = RT

D = 10(0.75) = 7.5 miles

Bob was ahead by 7.5 miles before his wife started.

Now, Bob's rate is 10mph and Cheryl's is 25 mph, that means Cheryl goes 15 miles per hour faster to catch up.

Since, Cheryl will catch up at 15 miles an hour, how long would Cheryl need to catch up 7.5 miles??

Easy!

7.5 is HALF of 15, so Cheryl will required HALF of an hour to catch up, or 30 minutes

8 0
2 years ago
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