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2 years ago

Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1

Mathematics

2 answers:

Digiron [165]2 years ago

6 0

Answer:

Center: (0, 0); Vertices: (0, -25), (0, 25); Foci: (0, -15), (0, 15)

Step-by-step explanation:

The center is (0,0) because there is no (h,k)

The vertices are (0, -25), (0, 25) because we use the formula (x-h)^2/b^2 + (y-k)^2/a^2 = 1, since the y's denominator is larger.

The foci are (0, -15), (0, 15) because we use the formula a^2=b^2+c^2 to find the foci, a=625 and b=400, simplify to c=+ or - 15 and you get your foci.

Inessa05 [86]2 years ago

4 0

Answer:

x^2/400 + x^2/625

(x-0)^2/400) +(y-0^2/625)

x^2=400

X=sqrt. 400

x = 20

y^2=625

y = sqrt. 625

y= 25

a^2-c^2=b^2

sqrt 400-625 = c

20-25=c

The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

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Read 2 more answers

A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º. How many sid

jasenka [17]

Let us have a recap first.

For triangle it's 180 degrees in total
Square has 360 degrees in total
Pentagon has 540 degrees total
Hexagon has 720 degrees in total

So these polygons increase by 180 degrees for every side to the polygon starting at three sides instead of one.
Let:

n = number of sides in the polygon

(n-2) * 180 = degrees total inside the polygon
(n-2) * 180 / n = degrees for each angle in polygon

Substitute:

(n-2) * 180 / n = 162
multiply both sides by n
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Icosagon (20-gon) is the term for a 20 sided polygon

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