Answer
given,
side of rectangle, AB = CD = 32
BC = DA = 24
rectangle is rotated 90° clockwise about C.
then rotated 90° clockwise about D.
Path traveled by the point A for first rotation will be in circle with radius AC.
AC = 40
θ₁ = 90°
D₁ = 1256.64
For the second rotation Point A will move in circular path with radius of AD
AD = 24
θ₁ = 90°
D₂ = 452.39
total path traveled by the point A
D = D₁ + D₂
D = 1256.64 + 452.39
D = 1709.03
A linear function represents a line, a quadratic function represents a parabola.
The dots fit a parabolic behaviour (they are descendent at the beginning, they reach a minimum and then start growing again), so a quadratic model could fit the dots much better than a linear one.
Answer: d) (3, 3)
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's.
Let's look at the points and find their inverse:
f(x) f⁻¹(x)
(0, -2) --> (-2, 0)
(1, -1) --> (-1, 1)
(2, 0) --> (0, 2)
(3, 3) --> (3, 3) f(x) = f⁻¹(x) so this is where they intersect!
Answer:
C) 6 and 8
Step-by-step explanation:
7 lies between 6 and 8, and both 6 and 8 are multiples of 2.