Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = 
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = 
= 
=
= 
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = 
= 
=
= 
Since
≈
, then CD and EF are not congruent
Answer:
-1, -3, 2, 5, 6
Step-by-step explanation:
The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.
Answer:

Step-by-step explanation:
Here, the given expressions are:
A) 
Solving this, we get

⇒
B) 
Now, solving this, we get

⇒
C) 
Simplifying this, we get

⇒ 
Answer:
810
Step-by-step explanation:
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w