What is the hypotenuse?

18
9√2
√18
18√2

BC = 18

Step-by-step explanation:

Since ∠B = ∠C then the triangle is isosceles and so

∠B = ∠C = 45°

Using the sine ratio in the right triangle and

sin45° = , then

sin45° = = =

Multiply both sides by BC

BC × sin45° = 9, that is

BC × = 9

Multiply both sides by

BC = 9 × = 9 × 2 = 18

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3