Answer:

Step-by-step explanation:
Given

Required
Get equivalent expression using completing the square
<em>Follow these steps:</em>
- <em>Take the coefficient of y; That is -12</em>
- <em>Divide it by 2; That is (-12/2)</em>
- <em>Square it: (-12/2)^2</em>
<em />
Add to both sides of the equation




Expand the right-hand side

Factorize:



Answer:
the probability of rolling two 6's is 2 out of 12 or 0.167 rounded to the nearest thousandth
Step-by-step explanation:
there are 6 sides on a cube so that's 5 other chances that you'll get 1-5 and having two cubes doubles the chance.
Answer:
The correct option is C ) 109.5°
Therefore,

Step-by-step explanation:
Given:
In Triangle DEF
d = 10
e = 18
f = 12
To Find
angle E = ?
Solution:
In Triangle DEF , Cosine Rule says

Substituting the values we get


Therefore,

............As it is in Second Quadrant
Therefore,

The two points are
(4,2) , (6,5)
Area=length * width
You know area and width. Plug in and solve.
24=length*4
Length =6 meters