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3 years ago

Find the center, vertices, and foci of the ellipse with equation 2x2 + 9y2 = 18.

1 answer:

5 0

To solve this problem you must apply the proccedure showb below:

1. You have the following equation:

 2x^2+9y^2=18

2. Dividing the equation by 18, you have:

(x^2/9)+(y^2/2)=1

3. The center is:

[(x-0)^2/9]3^2[(y-0)^2/√2]=1

(h,k)=(0,0)

The center is (0,0)

4. The vertices are:

a^2=9
a=3

Vertices: (-3,0) and (3,0)

5. The foci is:

c^2=a^2-b^2
c=√7

The foci is: (-√7,0) and (√7,0)

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V = BH - 5 How do I solve for b in this equation

Zolol [24]

Answer:

$B=\frac{V+5}{H}$

Step-by-step explanation:

Add 5 to both sides:

V+5=BH

Divide both sides by H:

$B=\frac{V+5}{H}$

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2 years ago

1. what is the distance between -3 and -5 ? 2. what is the distance between -5 and -3 ?

Naddik [55]

Answer:

-2 for both questions

Step-by-step explanation:

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2 years ago

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Can someone plz help me Thank you in advance:)

yulyashka [42]

Answer : The specific heat of the metal is, $2178.67J/kg^oC$

Explanation :

In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

$q_1=-q_2$

$m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)$

where,

$c_1$ = specific heat of metal = ?

$c_2$ = specific heat of ice = $2000J/kg^oC$

$m_1$ = mass of metal = 1.00 kg

$m_2$ = mass of ice = 1.00 kg

$T_f$ = final temperature of mixture = $-8.88^oC$

$T_1$ = initial temperature of metal = $5.00^oC$

$T_2$ = initial temperature of ice = $-24.0^oC$

Now put all the given values in the above formula, we get:

$(1.00kg)\times c_1\times (-8.88-5.00)^oC=-[(1.00kg)\times 2000J/kg^oC\times (-8.88-(-24.0))^oC]$

$c_1=2178.67J/kg^oC$

Therefore, the specific heat of the metal is, $2178.67J/kg^oC$

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3 years ago

A car that normally sells for $20000 is on sale for $16000 The sales tax is 7.5%

Leno4ka [110]

Answer:

17,200

Step-by-step explanation:

7.5% of 16,000 is 1,200

16,000+1,200=17,200

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2 years ago

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if someone deposited 2000 at 6% simple intrest . how long will it be before she has 2600 in her account

den301095 [7]

30. Given problem : You deposited 2 000 dollars, then you will earn 6% simple interest. Question: How long will it become 2 600 dollars. Well, you didn’t mention if it’s an annual interest or monthly interest. But let’s say that it’s a monthly interest, then let’s start solving: => 2000 Is the original amount + 6% interest first month = 2000 * .06 = 120 => 2000 + 120 = 2120 2nd month = 2120 *.06 = 127.2 => 2120 + 127.2 = 2247.2 3rd month = 2247.2 *.06 = 134.832 => 2247.2 + 134.832 = 2382.032 4th month = 2382.032 * .06 = 142.92192 => 2382.032 + 142.92192 = 2524.95392 5th month = 2524.95392 * .06 = 151.497 => 2524.95392 + 151.497 = 2676.45 Thus, on the fifth month she will earn this amount.

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3 years ago