|x - 5| = 16
x - 5 = +/- 16
x - 5 = 16 or x - 5 = -16
<u> +5</u> <u>+5 </u> <u> +5 </u> <u>+5 </u>
x = 21 or x = -11
Answer: x = {21, -11}
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.
5/21 is the answer to this question.
Eliminate the opponent number
Change the sign of both sides of the equation
Divide both sides by the same number
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