Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Answer:
18π mm
Step-by-step explanation:
C=2πr
d=2r, 18=2r, r=9
C=18π mm
3/8 of a foot = 3/8 x 12/1 or 4 1/2 inches
So our 1/2 inch grows by a factor of 9 because 4 1/2 ÷ 1/2 = 9 Think how many 1/2 dollars are in 4 1/2 dollars. (Answer is 9)
So our 8 4/9 in the catalog has to grow the same
8 4/9 x 9 = 8 4/9 x 9/1 = 76/9 x 9/1 or 76 inches which is 6 ft 4 inches.
(76 ÷12 = 6 r4)
Given inequality: 2y−x ≤ −6
Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied
Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied
Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.
Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.
Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.
Solutions are: (1, -4), (0, -3) , (2, -2)