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____ [38]
3 years ago
13

True or false the focus of an ellipse lie on the major axis of the ellipse

Mathematics
2 answers:
ladessa [460]3 years ago
8 0

Answer:

True

Step-by-step explanation:

In an ellipse, the longer axis is called the major axis and the shorter axis called the minor axis . Vertices are the endpoints of major axis and co-vertices are the endpoints of minor axis.

The midpoint of major and minor axis is known as the centre of ellipse.

Foci are the the two points on the major axis of the ellipse such that sum of distance of the foci from the point on the ellipse is constant.

Foci basically lie on the major axis.

So, the given statement ''the focus of an ellipse lie on the major axis of the ellipse'' is true.

castortr0y [4]3 years ago
5 0

Answer:

false

Step-by-step explanation:

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nikdorinn [45]

Answer:

52 yards

Step-by-step explanation:

Perimeter is all sides added together.

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3 years ago
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jolli1 [7]

Answer:

x=2

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Step-by-step explanation:

You need to get everything on one side to have a quadratic equation:

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All factors of 10 are 1*10 and 2*5.

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3 years ago
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olga2289 [7]

Answer:

X³-x

Step-by-step explanation:

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6 0
2 years ago
Factorise this expression as fully as possible 14t^3 x 6t
kupik [55]
14t^3*6t
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6 0
3 years ago
After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab
Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of y=-x^{2}+36 is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.


Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be y=0.5x+5. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.


The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.

7 0
3 years ago
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