Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote 
as 
instead of 
.
The square root of 
is 
and so she could have further simplified.
The correct simplification is shown below:
Answer:
yellow
Step-by-step explanation:
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Your answer is, x=1.
Hope this helps.
