Find the mean of the integers
1 answer:
We need to find mean of given integers.
We have -16,39,-10,-16,12,31.
In order to find mean, we need to add all the given inetgers.
Therefore, putting plus sign in between integers.
-16+ 39+ (-10)+(-16)+12+31 .
We will add all positive number 39+12+31 = 82
We will add all negative numbers by negative numbers, -16-10-16 = -42.
Therefore, -16+ 39+ (-10)+(-16)+12+31 = 82 - 42 = 40.
We have given total 6 integers.
So, in order to find the mean, we need to apply following formula
Mean =
We get,
Mean = 40/6 = 6.66666......
We can round it to 6.67.
Therefore, mean of the given integers = 6.67 (approximately) .
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Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( ,
)
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = (,
) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2 ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( ,
) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m =
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
=
=
=
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
=
=
=
Since the slopes are equal then DE and BC are parallel lines