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3 years ago

W(-1, 4), X(1, 2), Y-2, 1); k = 3

Mathematics

1 answer:

WARRIOR [948]3 years ago

4 0

Answer:

<h2>what is the question</h2>

Step-by-step explanation:

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *

Luda [366]

Answer:

The answer to your question is $\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

Step-by-step explanation:

Data

Foci (-2, 2) (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

2c = 6

c = 6/2

c = 3

3.- Determine a

2a = 10

a = 10/2

a = 5

4.- Determine b using the Pythagorean theorem

a² = b² + c²

-Solve for b

b² = a² - c²

b² = 5² - 3²

b² = 25 - 9

b² = 16

b = 4

5.- Find the center (1, 2) From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

$\frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1$

$\frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1$

3 0

3 years ago

Please help! This stuff confuses me! Will BA

Scorpion4ik [409]

So, this is kinda similar to the other I helped you with:

<span>So r is the radius of the disk. The area is known and equal to 100Pi; so

100Pi = Pi r2

Now for r: r = 10

Circumference = 2 PI r = 20 Pi

I hope this helped!</span>

6 0

3 years ago

Read 2 more answers

5. You are making your weekly mean plans and are working with the following constraints: It costs $8 to go out to dinner. It cos

Goshia [24]

Let

x-------> the number of dinner

y-------> the number of lunch

we know that

$8x+5y \leq 42$ -------> equation A

$x=y$ ------> equation B

Substitute equation B in equation A

$8[y]+5y \leq 42$

$13y \leq 42$

$y \leq 42/13$

$y \leq 3.23$

the greatest number of lunch is $y=3$

$x=y$

Hence

the greatest number of dinner is $x=3$

therefore

the greatest number of meals is

$x+y=3+3=6$

<u>the answer is</u>

$6$

4 0

4 years ago

Read 2 more answers

The “prize” discovery at the Nansen Crater was olivine. What valuable information did NASA learn from this sample?

Ghella [55]

Answer:

1. One valuable information NASA learnt from the sample of olivine is that some parts of Mars had been dry over a long period of time.

2. The two materials are:

i. Oxygen supply.

ii. Air temperature and pressure regulation.

Step-by-step explanation:

NASA went on a research mission on mars and observed the Nansen crater, and discovered the olivine in the crater. It was learnt from the sample of olivine that parts of Mars had been dry over a long period of time.

2. The Personal Life Support System is a part of the suit used by astronauts to create an artificial habitat condition for their body system. This suit contains some materials that preserve their lives in space. The major materials in the suit are; oxygen (for breathing purpose) and air temperature and pressure regulation.

3 0

3 years ago

Please help i missed this class and have no idea how to do this!

Nadya [2.5K]

Answer:

x = -16 $\frac{2}{3}$

Step-by-step explanation:

When there are two lines that intersect at one point, the two angles that are directly opposite each other are equal. So in this case, (6x+175) = (3x + 127)

6x + 175 = 3x + 125

6x - 3x = 125 - 175

3x = -50

x = -50 ÷ 3

x = -16 $\frac{2}{3}$

5 0

3 years ago

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