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katovenus [111]
3 years ago
11

Write an equation of the ellipse centered at the origin given its vertex and co vertex

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.

Step-by-step explanation:

The equation of the ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.

If the vertex of the ellipse is at point (-7,0), then a=7.

If the co-vertex of the elllipse is at point (0,-5), then b=5.

The equation of the ellipse is

\dfrac{x^2}{7^2}+\dfrac{y^2}{5^2}=1,

\dfrac{x^2}{49}+\dfrac{y^2}{25}=1.

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Nelson and Andrew each made a stack of cubes on the floor Nelson used only cubes that were 8 cm height Well Andrew used only cub
Masteriza [31]

Answer:

⇒ 40 cm

Step-by-step explanation:

Given:

Height of cubes used by Nelson = 8 cm

Height of cubes used by Andrews = 10 cm

Solution:

Nelson made a stack of cubes where the height of the cubes is 8 cm, so the multiplication of the cube height is.

⇒ 8, 16, 24, 32, 40, 48, 56....

Similarly Andrew also made a stack of cubes where the height of the cubes is 10 cm, so the multiplication of the cube height is.

⇒ 10, 20, 30, 40, 50, 60.....

We can see the shortest same height of the both stack is 40 cm.

Therefore, 40 cm is the shortest possible stake height for both.

4 0
3 years ago
If the sum of the daily unpaid balances is $214.69 over a 25-day billing cycle, what is the average daily balance?
FrozenT [24]
$214.69 divided by 25 days 
= $8.59
4 0
3 years ago
In 1995 America online had about 3000000 users over the next decade users are expected to increase from a few million to the ten
IRISSAK [1]

Answer: There will be 7500000 users in the year 2000.

Step-by-step explanation:

Since we have given that

Number of users over the next decade in 1995 = 3000000

According to question, we have given that

there is increased by 150% by the year 2000.

so, Number of users will be increased in the year 2000 is given by

\frac{100+150}{100}\times 3000000\\\\=\frac{250}{100}\times 3000000\\\\=2.5\times 3000000\\\\=7500000

Hence, there will be 7500000 users in the year 2000.


4 0
4 years ago
Christie sells lemonade in her driveway she spends $20 dollars on supplies lemons sugar and cups she can make enough lemonade fo
Rasek [7]

Answer:

Profit = $ 5

Step-by-step explanation:

Money spent on supplies = $ 20

Number of cups of lemonade sold by her = 100

Selling price for 1 cup of lemonade = 1 quarter = $ 0.25

∴ Selling price for 100 cups of lemonade = 0.25\times100=25

So, Christie can make $ 25 from 100 cups of lemonade.

Profit made by her = Selling price - Money spent on supplied

                                 = $ 25 - $ 20 = $ 5.

8 0
3 years ago
Solve for x: −2x − 4 > 8 (1 point)
adelina 88 [10]

Answer:

x-6 is a answer of this question

5 0
3 years ago
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