Answer:
10, 1, 0.1, 0.01
It is a geometric sequence
Step-by-step explanation:
A(n + 1) = A(n) ÷ 10 for n ≥ 1 and A(1) = 10
A(1+1) = A(2) = A(1) / 10 = 10 / 10 = 1
A(2+1) = A(3) = A(2) / 10 = 1 / 10 = 0.1
A(3+1) = A(4) = A(3) / 10 = 0.1 / 10 = 0.01
It corresponds to a geometric sequence, which is defined by its starting number a (10), the common factor r (0.1) and the number of terms S.
Answer: point C = (3.75, 1.5)
Step-by-step explanation:
As the direction of the distance is from A to B, we need to down the y-axis and along (to the right) the x-axis.
Find the distance between the x-coordinates of both points by subtracting the x-coordinate of A from the x-coordinate of B:
5 - 0 = 5
3/4 of the length of this distance = 0.75 x 5 = 3.75
So the x-coordinate of C will be the sum of the distance (3.75) and the x-coordinate of A (as we are "travelling" from A to B):
3.75 + 0 = 3.75
Find the distance between the y-coordinates of both points by subtracting the y-coordinate of B from the y-coordinate of A:
3 - 1 = 2
3/4 of the length of this distance = 0.75 x 2 = 1.5
So the y-coordinate of C will be the y-coordinate of A minus the distance (1.5):
3 - 1.5 = 1.5
Therefore, point C = (3.75, 1.5)
Hope that helps - i dont know what u meant by option 1,2,3 so if u have an questions or i did it wrong i will fix it <3
Answer:
5a-7=24
5a=24+7
a=31/5
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The translation rule
(x, y ) → (x + 3, y - 2 )
Means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
A(- 4, 1 ) → A'(- 4 + 3, 1 - 2 ) → A'(- 1, - 1 )
B(1, 1 ) → B'(1 + 3, 1 - 2 ) → B'(4, - 1 )
C(1, - 2 ) → C'(1 + 3, - 2 - 2 ) → C'(4, - 4 )
D(- 4, - 2 ) → D'(- 4 + 3, - 2 - 2 ) → D'(- 1, - 4 )
