Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x = 
y = 
From the question
= 2
= ?
x = 4
= -1
= ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x =
4 = 
4 = 
+ 8 = 20
= 12
Also
y =
1 = 
- 4 = 5
= 9
Therefore , the end of the stencil is located at point ( 12 , 9 )
Answer:
7b-12
Step-by-step explanation:
12b-5b-7-5
7b-12
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
Answer:
-6
Step-by-step explanation:
Use a calculator
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