Answer:
-1
Step-by-step explanation:
45 / -15 x 3
45/ -45
-1
Given:
cos 120°
To find:
The exact value of cos 120° in simplest form with a rational denominator.
Solution:
We have,

It can be written as

![[\because \cos (90^\circ-\theta)=-\sin \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%2890%5E%5Ccirc-%5Ctheta%29%3D-%5Csin%20%5Ctheta%5D)
![[\because \sin 30^\circ=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%2030%5E%5Ccirc%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

Therefore, the exact value of cos 120° is
.
Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
----> the parent function
The vertex of f(x) is the point (0,0)
----> the transformed function
The vertex of g(x) is the point (0,-3)
so
The rule of the translation is
f(x) -----> g(x)
(0,0) ----> (0,-3)
(x,y) ----> (x,y-3)
That means ---> The translation is 3 units down
see the attached figure to better understand the problem
Answer:
No
Step-by-step explanation:
Answer:
w=16, L=20
Step-by-step explanation:Length(L)=w+4
P=72
P=2L+2w
P=2(w+4)+ 2w
P=2w+8+2w
72=4w+8
4w=72-8
4w=64(/4)
w=16
L=16+4=20
Verification: 16+16+20+20=72
32+40=72
72=72 (T)