Answer:
Option B is correct.
Step-by-step explanation:
A proportional relationship is a relationship between two variables where the ratio between the two variables is always the same.
Divide b/a for each option, the option having same ratio for the complete tables have proportional relationship
a)
9/3 = 3
12/4 = 3
20/5 = 4
b)
25/20 = 5/4
30/24 = 5/4
40/32 = 5/4
c)
12/4 = 3
15/5 = 3
24/6 = 4
d)
4/3 = 4/3
9/6 = 3/2
12/16 = 3/4
So, Option B is correct.
The Twenty-Ninth term is -34. The arithmetic sequence is degrading by -2. Below is the sequence.
22, 20, 18, 16, 14, 12, 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, -16, -18, -20, -22, -24, -26, -28, -30, -32, -34
Answer:
g(x) has an axis of symmetry at x = 3.
g(x) is shifted right 3 units from the graph of f(x)
g(x) is shifted up 4 units from the graph of f(x).
Step-by-step explanation:
The parent function is:
The transformed function is 
.
This new function can be rewritten in the vertex form as:
This function is obtained by shifting the parent function 3 units right and 4 units up.
The axis of symmetry is x=3;(x=h) and h=3.
There is no horizontal stretch or compression.
The new function is however reflected in the x-axis
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
Answer: 9,127
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