Answer:
K = (9.2, 6.4)
Step-by-step explanation:
If MK : KP = 3 : 2, then ...
K = (3P +2M)/(3+2)
= (3(14, 10) +2(2, 1))/5 = (46, 32)/5
K = (9.2, 6.4)
The slope of line "v" is 
<h3><u>Solution:</u></h3>
Given that Line w and line v are perpendicular to each other
Also given that line w passes through the points ( -4, 8 ) and ( 12, -2 )
To find: slope of line v
Since line w and line v are perpendicular to each other, product of slopes of line w and line v are equal to -1
---- eqn 1
Let us first find slope of line w
<em><u>The slope "m" of a line is given as:</u></em>



Thus the slope of line "w" is 
Substituting the slope of w in eqn 1 we get,

Thus the slope of line "v" is 
Subtract 14 from both sides
4b=8
Divide both sides by 4
b=2
Final answer: b=2
Solution :
Given that, The perimeter of the cabin is the sum of all four sides and can be written as perimeter = 2a+2b.
From the given diagram,

and, 
The perimeter of the cabin

Hence, an expression in terms of x that shows the total perimeter 