Answer: 73 inches high
Step-by-step explanation: 57+16=73
Answer:The better buy Option is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Following changes will be there when the figure is transformed by the given rules.
1). Rule for transformation has been given as,
(x, y) → (x, -y)
Reflection across x axis.
2). (x, y) → (-x, -y)
Rotation of 180° about the origin.
3). (x, y) → (x - 4, y)
Shifted 4 units left horizontally.
4). (x, y) → (x, y + 3)
Shifted vertically up by 3 units
5). (x, y) → (x - 1, y + 4)
Shifted 1 units left horizontally and 4 units up vertically.
6). (x, y) → (4x, 4y)
Dilated by 4 units.
Answer:
x = -1
Step-by-step explanation:
Solve for x:
3 (2 x - 1) = 7 x + 5 x + 3
Grouping like terms, 7 x + 5 x + 3 = (5 x + 7 x) + 3:
3 (2 x - 1) = (5 x + 7 x) + 3
5 x + 7 x = 12 x:
3 (2 x - 1) = 12 x + 3
Expand out terms of the left hand side:
6 x - 3 = 12 x + 3
Subtract 12 x from both sides:
(6 x - 12 x) - 3 = (12 x - 12 x) + 3
6 x - 12 x = -6 x:
-6 x - 3 = (12 x - 12 x) + 3
12 x - 12 x = 0:
-6 x - 3 = 3
Add 3 to both sides:
(3 - 3) - 6 x = 3 + 3
3 - 3 = 0:
-6 x = 3 + 3
3 + 3 = 6:
-6 x = 6
Divide both sides of -6 x = 6 by -6:
(-6 x)/(-6) = 6/(-6)
(-6)/(-6) = 1:
x = 6/(-6)
The gcd of 6 and -6 is 6, so 6/(-6) = (6×1)/(6 (-1)) = 6/6×1/(-1) = 1/(-1):
x = 1/(-1)
1/(-1) = -1:
Answer: x = -1
