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Over [174]
2 years ago
8

Write an equation of the ellipse with foci at (0,+12) and vertices at (0,+13)

Mathematics
2 answers:
Korolek [52]2 years ago
7 0

Quadratic relations and comic sections unit test part 1

10. b. x^2/25 + y^2/169 =1

nekit [7.7K]2 years ago
6 0
 To solve this problem you must apply the proccedure shown below:
 1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
 (y^2/a^2)+(x^2/b^2)=1
 2. You have the distance from the center of the ellipse to the focus:
 c=12, therefore, you can calculate the value of b, the minor radius:
 c^2=a^2-b^2
 b=√(13^3-12^2)
 b=5
 3. Therefore, the equation is:
 a^2=169
 b^2=25
 (y^2/169)+(x^2/25)=1
 The answer is: (y^2/169)+(x^2/25)=1 
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Change 3/4 into its equivalent decimal form​
svet-max [94.6K]
That would be 0.75:) hope this helps!
6 0
2 years ago
Read 2 more answers
Graph the line with slope -1/3 passing through the point (2, 1).
bogdanovich [222]

Answer:

Step-by-step explanation:

y = mx + b

y = -x/3 + b

1 = -2/3 + b

b = 5/3

y = -x/3 + 5/3

5 0
2 years ago
I've ordered this shed. It is 2 meters wide, 3.25 meters long and 2 meters tall to the roof line. From the roof line to the peak
Alecsey [184]

Answer:

18.2 cubic meters.

Step-by-step explanation:

From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.

The volume would be:

V = height * width * length

According to the statement height = 2, width = 2 and length = 3.25

V = 2 * 2 * 3.25

V = 13

That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:

V = 2.8 * 2 * 3.25

V = 18.2

That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.

6 0
3 years ago
Does somebody knows how to do this problem?
pshichka [43]

Answer:

Angle Q is 51°

Angle R is 96°

(x=5 and the exterior angle is 84°)

Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

Get all the x's on one side of the equation.

17x-10x - 1 = 33 + 10x-10x+1

7x - 1 = 33 + 1

7x - 1 = 34 add 1 to both sides

7x = 35 divide by 7

7x/7 = 35/7

x = 5

Not finished ! Find Angle Q

10x+1 = 10(5)+1= 51°

Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°

33° + 51° + R = 180°

84° + R = 180°

R = 96°

6 0
2 years ago
6: A wooden rod is 4/5m <br> long .<br> Find the total length of 4 wooden rods.
lubasha [3.4K]

Answer:

Proper: 3 and 1/5  Improper: 16/5

Step-by-step explanation:

4 times 4/5 = 16/5

5*3=15

16-15= 1

3 and 1/5

5 0
2 years ago
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