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Goshia [24]
3 years ago
15

One carton of eggs contains 12 eggs.

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

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Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?
NemiM [27]

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

6 0
2 years ago
PLZ HELP
Sergio039 [100]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Name two acute vertical angles.
Shkiper50 [21]

Answer:

Your answer would be the second option

KQL, IQH

Step-by-step explanation:

5 0
2 years ago
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Find the distance between the two points in simplest radical form.<br> (1, -7) and (7,0)
denis23 [38]

Answer:

The <u>distance</u> <em>between</em> the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }

We are defined our two points as:

  • (x₁, y₁) → (1, -7)
  • (x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

  • x₁ = 1
  • y₁ = -7
  • x₂ = 7
  • y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

5 0
2 years ago
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Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
Angelina_Jolie [31]
The slope of line M`N` is : B ) 1
3 0
3 years ago
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