Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

(2, –3.5)
(2, 5.5)
(–7.5, –5)
(1.5, –5)

Question

06-04-2021
Mathematics

Answered

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Which ordered pair is a solution of 9(x – 2)2 – 4(y + 5)2 ≥ 36?

(2, –3.5)
(2, 5.5)
(–7.5, –5)
(1.5, –5)

Sagot :

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10385035idn 10385035idn · Answer 1 · 2021-04-20T12:53:46-04:00

10385035idn 10385035idn

20-04-2021

Answer:

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PriyankapandeyVTidn PriyankapandeyVTidn · Answer 2 · 2022-07-28T03:39:16-04:00

The required ordered pair for the solution of an equation [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

An ordered pair from the options is the solution of the equation [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] to be determined.

What is the ordered pair?

An ordered pair is defined as the coordinates when put into the equation giving the solution of the equation.

While plotting the curve of the given equation on the graph and also plotting the ordered pair on the graph. It is seen that points (2, –3.5), (2, 5.5), and (1.5, –5) lie on the unshaded portion. While ordered pair (-7.5, -5) lies on the shaded portion.

Thus, the required ordered pair for the solution of an equation [tex]9(x - 2)^2 - 4(y + 5)^2\geq 36[/tex] is (-7.5,-5).

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What is the ordered pair?

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