Find the value of the variable.

x = 13, y = 13

Step-by-step explanation:

The triangle is 45- 45- 90, that is a right isosceles triangle, with the 2 legs being congruent , that is

x = 13

Using Pythagoras' identity in the right triangle

y² = 13² + 13² = 169 + 169 = 338 ( take the square root of both sides )

y = = = 13

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: