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:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
We can calculate for the slope of the line using the
formula:
m = (y2 – y1) / (x2 – x1)
From the given values:
m = (4,000 – 10,000) ft / (15 – 0) min
m = -400 ft/min
This means that the altitude is decreasing by 400 ft per
minute.
> The slope is –400 . This means that the helicopter
descends 400 ft each minute.
If it is asking if that equation is the quadratic formula, then the answer is false. The reason why is that the first 'b' should be negative
The quadratic formula is

It’s is 82 because you are supposed to do multiply first then add it witch does 82