The area of a triangle abc is 4√2 m²

x = 3.08

Step-by-step explanation:

Construct a perpendicular AD from point A to opposite side BC,

By sine ratio,

sin(45)° =

AD =

Area of a triangle =

                             =

(2x - 3)(x + 2) = 16

2x(x + 2) - 3(x + 2) = 16

2x² + 4x - 3x - 6 = 16

2x² + x - 6 = 16

2x² + x - 22 = 0

By using quadratic formula,

x =

x =

x = 3.076, -3.576

x ≈ 3.08, -3.58

But length of the sides can't be negative

Therefore, x = 3.08 will be the answer.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

hint: which coefficient is a multiple of 360°?

step-by-step explanation: