–12 ÷ 3 • [–8 + (–4)² ∧ 6] + 2
According to PEMDAS, (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction) we need to solve the exponent in the parenthesis first.
-12 ÷ 3 • [-8 + 16 - 6] + 2
-12 ÷ 3 • [-8 + 10 ] +2
-12 ÷ 3 • 2 + 2
-4 • 6 + 2
-24 + 2 = - 22
Hope this helps!
Answer:
Segment AD is 3, and segment AE is 2.
Step-by-step explanation:
In a triangle, the line joining the mid points of two sides is parallel and half of the third sides of the triangle.
Here, ABC is a triangle,
In which,
AB = 6,
AC = 4,
D∈ AB and E∈AC
Let DE ║BC,
And, 
In triangles ADE and ABC,
( Alternative interior angle theorem )

By AA similarity postulate,

∵ Corresponding sides of similar triangle are in same proportion,





Hence, the correct option would be,
Segment AD is 3, and segment AE is 2.
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)
where (x1,y1)=(-8,-3)
(X2, y2)=(-12,-3)
slope=(-3+3)/(-12+8)=0