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svlad2 [7]
2 years ago
5

An ellipse has a vertex at (4, 0), a co-vertex at (0, 2), and a center at the origin. Which is the equation of the ellipse in st

andard form?
Mathematics
1 answer:
Korolek [52]2 years ago
7 0

Answer:

x^2/ 16 + y^2/4 = 1

Step-by-step explanation:

The major axis is 4 and that goes with the x variable.  It is the major axis because 4 is a larger value than 2.

4 x 4 = 16

2 x 2 = 4

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If x varies inversely as y, and x=27 when y=6 find x when y=2
kondaur [170]

For this case we have that the inverse variation is defined as:

y = \frac {k} {x}

Where:

k: It is the constant of proportionality

According to the statement we have:

x = 27\\y = 6\\6 = \frac {k} {27}

We find the constant of proportionality:

k = 27 * 6\\k = 162

Then we find the value of x when y = 2:

2 = \frac {162} {x}\\x = \frac {162} {2}\\x = 81

Answer:

x = 81

7 0
3 years ago
PLEASE HELP ASAP!! WILL GIVE BRAINLIEST!!
zhenek [66]

Given is :

The area of the rectangular patio is = 130 square feet

Let the width of the patio be = x feet

As length is 3 feet more than the width, so the length is = x+3 feet

Now area of rectangle is = length * width

x(x+3)=130

x^{2}+3x=130

x^{2}+3x-130=0

x^{2}+13x-10x-130=0

x(x+13)-10(x+13)=0

(x-10)(x+13)=0

This gives either x-10=0 or x+13=0

x-10=0 ; x=10

x+13=0 ; x=-13 (neglect this negative value)

So, the width of the patio is = 10 feet

Length = 10+3 = 13 feet

7 0
3 years ago
Please help me!!!!!!!!!!!!!
vivado [14]

Answer:

24^10/24^4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help please this is due I will give brainliest
crimeas [40]
  1. 340,000
  2. 467,500
  3. 361,250
  4. 180,625

Hope this helps :)

7 0
3 years ago
Read 2 more answers
What is the solution set of the quadratic inequality (X^2)-5≤0
Pepsi [2]
The 4th option would be correct.

{X | - Root 5 < x < Root 5 }
5 0
3 years ago
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