Which set of numbers could represent the lengths of the sides of a right triangle?

A) 9, 40, 41

B) 12, 15, 20

C) 2, 3, 4

D) 8, 9, 10

A  

Step-by-step explanation:

We will use the Pythagorean  Theorem formula a^2 + b^2 = C^2  where C is the hypotenuse and a and b are the two legs

A. 9^2 + 40^2= 41^2

81 + 1600 = 1681

1681= 1681

B. 12^2 + 15^2 =20^2

144 + 225 = 400

369  ≠ 400

C. 2^2 + 3^2  = 4^2

4 + 9 = 16

13 ≠ 16

D. 8^2  + 9^2 = 10^2

64 + 81 = 100

145 ≠ 100

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

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