Question

Showing that (9, 1) is a solution of which inequality would justify shading inside the graph of the curve. x2 – y2 > 84 x ≥ 3(y + 2)2 – 2 4(x – 4)2 – 16(y + 1)2 > 36 64(x – 8)2 + 12y2 < 144

Answer 1

Answer:

d

Step-by-step explanation:

edg 2021

Answer 2

(9,1 ) is the solution of  64(x-8)²+ 12y² < 144 inequality.

What is solution for inequality?

A solution for an inequality in x and y are numbers such that when we substitute that number for x and y we have a true statement.

We substitute x = 9 and y = 1 in each inequality. The inequality, for which the values satisfy, has (9, 1) as the solution.

1.

x² - y² > 84

81 - 1 > 84

80 > 84

not true.

2.

x >= 3(y+2)² - 2

9 >= 3(3)² - 2

9 >= 27 - 2

9 >= 25

not true.

3.

4(x-4)² - 16(y+1)² > 36

4(5)² - 16(2)² > 36

100 - 64 > 36

36 > 36

not true.

4.

64(x-8)² + 12y² < 144

64 + 12 < 144

76 < 144

True.

Hence, 64(x-8)²+ 12y² < 144 has the solution (9, 1).

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