<span>points (6,10)
</span>y = -x
x + y = 0
distance = lax1 + by1 + cl/√(a^2 + b^2)
= l1(6) + 1(10) + 0l/√(1^2 + 1^2)
= l6 + 10 + 0l/√(1 + 1)
= l16l/√2
= 16/√2
= 8 .2/√2
= 8 . √2.√2/√2
= 8√2
The table was <em><u>22.5 inches wide</u></em>.
hope this helps!
Median = middle number
Total ten numbers so
median = (17 + b)/2
given median = 18
so
(17 + b)/ 2 = 18
17+b = 36
b = 36 - 17
b = 19
Now you have the data set
7, a , 12, 15 , 17, 19, 20, 22, 24 , 25
Mean = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
Given mean = 17
so
17 = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24 +25)/ 10
17 = (a + 161) / 10
a + 161 = 170
a = 170 - 161
a = 9
answer
a = 9
b = 19
<u>ANSWER</u>
The line that is parallel to
through
is
.
<u>EXPLANATION</u>
The equation that is parallel to the line
has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
,this line has slope
.
Hence the line parallel to this line also has slope
.
Let
be the equation of the line parallel to the line

We can substitute
to obtain;

If the line passes through the point
,then this point must satisfy its equation.
We substitute
and
to obtain;

We this equation for
.



We substitute this value of
in to
to get;
.
Hence the equation of the line that is parallel to
through
is
.