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:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:

Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
Answer:
x < -12
Step-by-step explanation:
-1/2x > 6
Multiply by -2 to isolate x
Remember that when multiplying by a negative, we flip the inequality
-2 * -1/2x < 6*-2
x < -12
Answer: 00008.5
Step-by-step explanation: