Answer:
Distance:
units
Step-by-step explanation:
The distance formula is
where:
is the distance between points
and 
are the coordinates of the first point
are the coordinates of the second point
We are given that:
To determine the value of our distance,
, we plug in our given information into the formula and solve for






Therefore, the distance between
and
is
units.
See the attached graph for a visual.
Answer:
36,000
Step-by-step explanation:
if you multiply 12,000 and 3 you get 36,000.
4*(2x+1)=(2x+1)+(2x+1)+(2x+1)+(2x+1)=
2x+2x+2x+2x+1+1+1+1=
=8x+4
I hope this is ok !
Answer:
There is a significant linear correlation between the two variables.
Step-by-step explanation:
Given that part time weekly earnings are
x y
10 93
15 171
20 204
20 156
35 261
Correlation 0.9199
H0: r=correlatin =0
Ha: r ≠0
(two tailed test)
r difference = 0.9199
t = 
p value < 0.0001
Since p <0.05 we reject null hypothesis
There is a significant linear correlation between the two variables.
Answer:
Lines BC and F represent perpendicular lines
Step-by-step explanation:
we have
<em>Line BC</em>

the slope of the line BC is 
<em>Line F</em>

the slope of the line F is 
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have
-----> slope line BC
-----> slope line F
Find the product of their slopes

therefore
Lines BC and F represent perpendicular lines