Round your answer to two decimal places.
in this right triangle, the length of the hypotenuse, bc, units.

The correct answer is Hypotenuse =  3.61 units (Rounding to two decimal places)

Step-by-step explanation:

We can use the Pythagoras theorem formula for solving this questions. It can be expressed symbolically as follows:  

Hypotenuse² = First leg² + Second leg²

 "The amount of units comprising the hypotenuse squared is equal to the addition of the measure of both legs squared."

Hypotenuse² = First leg² + Second leg²

Hypotenuse =  √(First leg² + Second leg² )

Replacing with the real values:

Hypotenuse =  √(3² + 2² )

Hypotenuse =  √(9 + 4 )

Hypotenuse =  √13

Hypotenuse =  3.60555

Hypotenuse =  3.61 units (Rounding to two decimal places)

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.