(I) Alpha+Beta= 2
Alpha-Beta= √D/|a|= √10
Alpha^2 - Beta^2
=(Alpha+Beta) (Alpha-Beta)
= 2* √10
= 2√10
Let:
x = hours of travel
y = velocity
slope= rise/run slope=(y2-y1)/(x2-x1)
(x1,y1) = (2,50) (x2,y2) = (6,54)
sub values back into the equation m = (54-50)/(6-2) m = 1
POINT SLOPE FORMy-y1 = m(x-x1) y-50= 1(x-2) y = x -2 +50
y = x + 48
B)
the graph within the first seven hours can be obtained at point B
x = 7
y = 7+48 = 55
B(7,55)
Answer:
<em>24 square yards</em>
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
<em>Hence 24 square yards of carpeting is needed</em>
1 file + 3 pens = $32.85 --------------- (1)
2 files + 8 pens = $83.50 ----------------(2)
(1) x 2 :
2 files + 6 pens = $65.70 ----------------(1a)
(2) - (1a) :
2 pens = $17.80
1 pen = $8.90
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Answer: One pen costs $8.90.
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