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cestrela7 [59]
3 years ago
11

Which of the following ordered pairs represents a solution to the linear inequality y>2x-3?

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

B (2, 5).

Step-by-step explanation:

Y is greater than 2x-3.

Check each one in turn:

A. (4,4) ;  y = <u>4</u><u> </u>and 2x-3 = 2(4)-3 =<u> 5.</u> NOT a solution ( y<2x-3 in this case).

B. (2, 5): y = 5 and 2x - 3 = 2(2) - 3 = 1   so y>2x-3 and this point IS a solution.

C. (3, 2)  y = 2 and  2x-3 = 3 - NOT a solution.

D. (9, 12) y = 12 and 2x-3 = 15 - Not a solution.

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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )
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Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

<h3>What are trigonometric functions?</h3>

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = \sqrt{13^{2} - 12^{2}  } = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = cos^{2}∅ - sin^{2}∅ = (\frac{12}{13}) ^{2} - (\frac{5}{13} )^{2} = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

Learn more about trigonometric functions: brainly.com/question/24349828

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