# Find an equation that models a hyperbolic lens with a = 12 inches and foci that are 26 inches apart. Assume that the center of the hyperbola is the origin and the transverse axis is vertical.

QUESTION POSTED AT 18/01/2020 - 07:36 AM

### Answered by admin AT 18/01/2020 - 07:36 AM

The general form for a hyperbola with the center at the origin and a vertical transverse axis is:
y2/a2 - x2/b2 = 1

From the given:
a = 12

To get b, we use the given distance between the foci.Since it's 26,
c = 26/2 = 13

Using this defintion:
c2 = a2 + b2
b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:
y2/13^2 - x2/5^2 = 1
or
y2/169 - x2/25 = 1

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Did your explanation include the following?

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QUESTION POSTED AT 20/02/2020 - 11:21 PM

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ANSWERED AT 20/02/2020 - 11:21 PM

QUESTION POSTED AT 20/02/2020 - 11:21 PM

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The answer to this question would be:
Jim     =6 years
Harry =2 years

To answer this question, you need to translate the description into a  mathematical equation. If H= Harry's ages and J= Jim's ages, then the equation should be look like this:

1. H+4= J
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If you put the 1st and 2nd equation together, the result would be:
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ANSWERED AT 20/02/2020 - 11:19 PM

QUESTION POSTED AT 20/02/2020 - 11:19 PM

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QUESTION POSTED AT 20/02/2020 - 11:18 PM

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ANSWERED AT 20/02/2020 - 11:18 PM

QUESTION POSTED AT 20/02/2020 - 11:18 PM

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ANSWERED AT 20/02/2020 - 11:15 PM

QUESTION POSTED AT 20/02/2020 - 11:15 PM

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ANSWERED AT 20/02/2020 - 11:14 PM

QUESTION POSTED AT 20/02/2020 - 11:14 PM

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ANSWERED AT 20/02/2020 - 11:14 PM

QUESTION POSTED AT 20/02/2020 - 11:14 PM

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ANSWERED AT 20/02/2020 - 11:12 PM

QUESTION POSTED AT 20/02/2020 - 11:12 PM

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Answer:

Required Equations are x + y = 24 & x - y = 6

Step-by-step explanation:

let x be the no of yellow marbles that Charles has.

and y be the no of blue marbles that Charles has.

Total Marbles that Charles has = 24

⇒ x + y = 24 ..............(1)

Charles has 6 more yellow marbles than blue marbles.

⇒ x = y + 6

x - y = 6 ......................(2)

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ANSWERED AT 20/02/2020 - 11:12 PM

QUESTION POSTED AT 20/02/2020 - 11:12 PM

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ANSWERED AT 20/02/2020 - 11:11 PM

QUESTION POSTED AT 20/02/2020 - 11:11 PM

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ANSWERED AT 20/02/2020 - 11:10 PM

QUESTION POSTED AT 20/02/2020 - 11:10 PM

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ANSWERED AT 20/02/2020 - 11:07 PM

QUESTION POSTED AT 20/02/2020 - 11:07 PM

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Answer:

Step-by-step explanation:

A

ANSWERED AT 20/02/2020 - 11:06 PM

QUESTION POSTED AT 20/02/2020 - 11:06 PM

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QUESTION POSTED AT 20/02/2020 - 11:05 PM

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QUESTION POSTED AT 20/02/2020 - 11:03 PM

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ANSWERED AT 20/02/2020 - 11:02 PM

QUESTION POSTED AT 20/02/2020 - 11:02 PM

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ANSWERED AT 20/02/2020 - 11:02 PM

QUESTION POSTED AT 20/02/2020 - 11:02 PM

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ANSWERED AT 20/02/2020 - 11:01 PM

QUESTION POSTED AT 20/02/2020 - 11:01 PM

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Here, slope (m) = y2 - y1 / x2 - x1
m = 6-4 / 12-4
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Equation, y - y1 = m(x - x1)
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Hope this helps!

ANSWERED AT 20/02/2020 - 10:58 PM

QUESTION POSTED AT 20/02/2020 - 10:58 PM

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A statement that has mathematical expressions that are equal.
Examples:
2+1=3
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ANSWERED AT 20/02/2020 - 10:58 PM

QUESTION POSTED AT 20/02/2020 - 10:58 PM

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ANSWERED AT 20/02/2020 - 10:57 PM

QUESTION POSTED AT 20/02/2020 - 10:57 PM

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Hope this helps!

ANSWERED AT 20/02/2020 - 10:57 PM

QUESTION POSTED AT 20/02/2020 - 10:57 PM

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nisha ate 1/2 of remaining (3/4)
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ok, so eaten=1/4+3/8=2/8+3/8=5/8 eaten
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ANSWERED AT 20/02/2020 - 10:56 PM

QUESTION POSTED AT 20/02/2020 - 10:56 PM

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1. I belive this is in simplest form already.
2. 4s+9
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Hope that helps a little bit!

ANSWERED AT 20/02/2020 - 10:55 PM

QUESTION POSTED AT 20/02/2020 - 10:55 PM

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Since the problem is 4(x+8)=44 you will first need to distribute. 4 times x equals 4x. And 4 times 8 equals 32. So that leaves you with a neat problem, 4x+32=44. Next, you must subtract 32 from both sides. You need to do this to both sides to make she that they stay even. So minus 32 on both sides leaves the equation at, 4x=12. Lastly, you must divide both sides by four to get the x alone and the answer is 3. Hope this helped.

ANSWERED AT 20/02/2020 - 10:55 PM

QUESTION POSTED AT 20/02/2020 - 10:55 PM

### Can any body help me on problem number 12 I'm stuck

They bought granola the most

5/6 = 10/12

10/12 > 1/12

ANSWERED AT 20/02/2020 - 10:54 PM

QUESTION POSTED AT 20/02/2020 - 10:54 PM

### Find the amount paid for the loan. \$1500 at 9% for 2 years

Assuming simple interest

I=PRT
Interset=principal times rate times time

principal=1500
rate=9%=0.09
time=2

I=1500 times 0.09 times 2
I=1500 times 0.18
I=270

interest=270
total is 1500+270=1770 total paied

ANSWERED AT 20/02/2020 - 10:53 PM

QUESTION POSTED AT 20/02/2020 - 10:53 PM

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4 times 3 equals 12.

ANSWERED AT 20/02/2020 - 10:53 PM

QUESTION POSTED AT 20/02/2020 - 10:53 PM