ANSWER
EXPLANATION
The general term for the sequence is
To find the 55th term, we have to substitute
in to the general term and simplify.
This implies that,
Therefore the 55th term is 161.
Answer:
d) Mr.Wallace can use the following equations:
a + b = 9
2 a + 3 b = 23
Step-by-step explanation:
Here, the total number of students = 23
Number of groups = 9
Each group can have 2 or 3 students.
a is the number of groups of 2.
⇒ Total students in a groups = a x (Number of student in each group)
= a x 2 = 2 a
b is the number of groups of 3
⇒ Total students in b groups = b x (Number of student in each group)
= b x 3 = 3 b
So, according to the question:
Total number of groups formed = 9
⇒ a + b = 9
Total number of students = 23
or Number of students in ( a group + b group ) = 23
⇒ 2 a + 3 b = 23
Hence, Mr.Wallace can use the following equations:
a + b = 9
2 a + 3 b = 23
Answer:
The original Slope is y=-1/3x-2
The perpendicular slope would be y=3x+b
Step-by-step explanation:
Original Slope:
You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.
Perpendicular Slope:
The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular
