Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
What are the next three terms in the sequence 5, 14, 23, 32, ...? 43, 54, 65 45, 54, 63 41, 50, 59 47, 56, 65
nikitadnepr [17]
Take a careful look at 5, 14, 23, 32. Each new term is equal to the previous term PLUS 9. Thus, 9 is the "common difference."
Next 3 terms?
32 plus 9 is 41
41 plus 9 is 50
50 plus 9 is 59
59 plus 9 is 68.
and so on
So the "next 3 terms in the seq. 5, 14, 23, 32 are 41, 50, 59.
Answer:
Step-by-step explanation:
take angle B as reference angle
using cosec rule
cosec B=hypotenuse/opposite
cosec B=13/12
cosec B=1.08
B=cosec 67
B=67 degree
for ratio,
cosec B=13/12
20.136 rounded to nearest whole number is 20
Answer:
-6 k +5
Step-by-step explanation:
-2k -4k +5
Think of k is apples
-2 apples -4 apples
-6 apples
-6 k +5
