Answer:




Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.



Collect like terms


Take positive square root

Solving (a): Sin L



Simplify

Solving (b): tan N



Simplify

Solving (c): cos L
This calculated as:



Simplify

Solving (d): sin N
This is calculated using:
If 
Then: 
So:


Answer:
m = -1/3
Step-by-step explanation:
To get the slope of the line, we identify two points on the line and use the slope formula
We can have the points (-2,3) and (1,2)
We have the slope formula as;
m = (y2-y1)/(x2-x1)
m = (2-3)/(1 + 2) = -1/3
X+y=4
2x+y=6
make first equation negative
-x-y=-4
add to first equation
2x-x+y-y=6-4
x=2
subsitute
x+y=4
2+y=4
y=2
or
x+y=4
subtract x from both sdies
y=4-x
subsitute 4-x for y in second equation
2x+4-x=6
x+4=6
x=2