A floorplan of a house is drawn to a scale of 1 inch:5 feet. The actual dimensions of the family room are 20 feet by 24 feet. Wh
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Answer
a) 2 x + 3 = 13 - 5 x
7 x = 13 -3
7 x = 10
b) 6 + 4 x = 10 x + 26
6 x = 20
c) 6 x + 9 = 13/5 - x
d) 0.6 + 0.4 x = x + 2.6
0.6 x = -2
e) 3(2x + 3) = 13/5 -x
6 x + 9 = 13/5 - x
f) 4 x = -10 x + 20
14 x = 20
g) 15(2x + 3) = 13 - 5x
30 x + 45 = 13 - 5 x
35 x = -32
h)15(2x + 3) + 97 = 110 - 5x
30 x + 45 + 97 = 110 - 5x
35 x = -32
so , the solution of part c, e, g, h is same which is
the solution of part a, f is same which is
Answer:
x = (1 ±√41)/6
Step-by-step explanation:
10 -6x -9x² = -9x
9x² -3x -10 = 0 . . . . . subtract the left side
9(x² -1/3) -10 = 0 . . . factor first two terms
9(x² -1/3 +1/36) -10 -9/36 = 0 . . . . complete the square
9(x -1/6)² = 41/4 . . . . . add 41/4
x -1/6 = ±√(41/36) . . . . divide by 9, take the square root
x = 1/6(1 ± √41) . . . . . . .add 1/6
