Given:
A line passes through the two points (3,5) and (-1,1).
To find:
The equation of the line in fully reduced point-slope form.
Solution:
If a line passes through two points, then the point slope form of the line is
The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is
Therefore, the point slope form of the line in fully reduced form is , here 1 is the slope of the line.
Answer:
angle c
Step-by-step explanation:
angle c is the angle of incidence. It is the angle between the perpendicular ( line that meets the surface at 90 degrees) and the ray that is coming in
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
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A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
