Answer:
d = 
Step-by-step explanation:
The distance formula is d=
.
6 is
, 9 is
, 3 is y
, and -2 is y
.
When you plug these into the formula, you get d = 
Answer:
11.9 feet
Step-by-step explanation:
We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so,
→ x + 5.2 + 11.1 + 6.4 = 34.6
⇒ Simplify equation
→ x + 22.7 = 34.6
⇒ Minus 22.7 from both sides to isolate x
→ x = 11.9 feet
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points
and
is given by,
Slope = 
Slope of AB = 
= 
Slope of AD = 
= Not defined (Parallel to y-axis)
Slope of DC = 
= 
Slope of BC = 
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC = 
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
First blank is foreign then the is add then the next one is 28