Find the length of AB
AB²=20²+15²
AB²=400+225
AB²=625
AB=25

then find AD and BD
20²=AD·25
400=AD·25
AD=16
15²=BD·25
225=BD·25
BD=9
now use the geometric mean theorem (name?) to find CD
CD=√(9·16)
CD=√144
CD=12 cm

4 0

3 years ago

Ryan boards an elevator in the lobby that is headed up at 290 meters per minute. Meanwhile, 260 meters above, Connor boards an a

wel

The cars meet at 157 meters after 32.5 sceonds

5 0

3 years ago

What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.

Trava [24]

9514 1404 393

Answer:

x = 3

Step-by-step explanation:

The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:

x(x -2)(x +3) -18 = 0

The attached shows x = 3 is the only real solution.

_____

We're not sure what "system of equations" is intended. Perhaps it is ...

y = 18

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

To create the expression we graphed, we effectively subtracted the first equation from the second.

3 0

2 years ago