Write the equation of the ellipse in standard form

Mathematics

2 answers:

emmasim [6.3K]4 years ago

6 0

Answer:

h = 1, k = 2, a = 6 and b = 2.

Step-by-step explanation:

Start by grouping the terms in x and y together:

4x^2 - 8x + 36y^2 - 144y = -4

Factor out the coefficient:

4(x^2 - 2x) + 36(y^2 - 4y) = -4

Complete the squares:

4 [(x - 1)^2 - 1] + 36 [y - 2)2 - 4] = -4

4(x - 1)^2 - 4 + 36(y - 2)^2 - 144 = -4

4(x - 1)^2 + 36(y - 2)^2 = 144

Divide through by 144:

(x - 1)^2 / 36 + (y - 2)^2/ 4 = 1

(x - 1)^2 / 6^2 + (y - 2)^2 / 2^2 = 1 (answer).

NNADVOKAT [17]4 years ago

5 0

Answer:

h=1 K =2 a =6 b=2

Step-by-step explanation:

look this solution :

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Murljashka [212]

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split them up to see which ones need changing

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8 0

4 years ago

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An engineering student answered 81 questons correctly ona 90 question test. What percent of the question did she answer correctl

SIZIF [17.4K]

Answer:

correct answer = 90%

Step-by-step explanation:

Let x be the percent of the question did she answer correctly.

Given:

An engineering student answered 81 questions correctly on a 90 question test.

Find the percent of the question did she answer correctly.