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Lynna [10]
1 year ago
14

Center: (10,-10)

Mathematics
1 answer:
vova2212 [387]1 year ago
7 0

This is the standard form equation \frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1

What is the ellipse?

The equation for an ellipse is typically written as x² a²  + y² b² = 1. x²  a² + y² b²  = 1. An ellipse with its origin at the center is defined by this equation. The ellipse is stretched further in both the horizontal and vertical directions if a > b, a > b, and if b > a, b > a, respectively.

The standard form of the equation of an ellipse with center (h, k)and major axis parallel to the x-axis is:

\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1

where,

a > b

the length of the major axis is 2a

the coordinates of the vertices are (h±a,k)

the length of the minor axis is 2b

the coordinates of the co-vertices are (h,k±b)

the coordinates of the foci are (h±c,k),

where c² = a² − b².

so,

\frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1

Hence, this is the standard form equation \frac{(x - 10)^2}{100} + \frac{(y + 10)^2}{-100} = 1.

To learn more about ellipse, visit

brainly.com/question/16904744

#SPJ1

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Answer:

Step-by-step explanation:

2081.25 ; 2312.50 ; 2543.75 ; ..... 7500

a= 2081.25

d = 231.25

t_{n}= 7500

a + (n-1)d = t_{n}

2081.25 + (n-1) * 231.25 = 7500

(n -1) *231.25 = 7500 - 2081.25

231.25n - 231.25 = 5418.75

231.25n = 5418.75 + 231.25

231.25n = 5650

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Answer:

  (a) 315°

  (b) 3°

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Step-by-step explanation:

Bearings are measured clockwise from north. The triangle described is illustrated in the attachment.

<h3>(a)</h3>

The bearing of P from R is 180° different from the bearing of R from P it will be ...

  135° +180° = 315° . . . . bearing of P from R

__

<h3>(b)</h3>

The bearing of Q from R is 48° more than the bearing of P from R, so is ...

  315° +48° = 363°, or 3° . . . . bearing of Q from R

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<h3>(c)</h3>

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The bearing of Q from P is 77° less than the bearing of R from P, so is ...

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Answer:

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