Answer:
y = 1/3x+6
Step-by-step explanation:
y = -3x+2 is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is -3
Perpendicular lines have slopes that are negative reciprocals
The slope of the perpendicular line is -1/-3 = 1/3
The equation of the new line is
y = 1/3x +b
Using the point that passes through the line ( 6,8) and substituting in for x and y
8 = 1/3(6) +b
8 = 2+b
8-2 =b
6 =b
The equation becomes
y = 1/3x+6
<span><u>Answer </u>
132 〖in〗^2
<u>Explanation </u>
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2
</span>
The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.
<h3>How to find the slope of a line?</h3>
Using the point slope equation,
y = mx + b
where
Therefore, using (-3, 0)
0 = -3m + 12
-12 = -3m
divide both sides by -3
m = -12 / -3
m = 4
learn more on slope here: brainly.com/question/17130155
#SPJ1
A formula is recursive if it expresses the term
in terms of the previous one(s) 
In this case, every term is 7 more than the previous one, so the formula for
will only involve
:

In fact, this formula is simply saying: for every index
, the term with that index is 7 more than the term before.
Also, we have to specify the starting point (otherwise we would go backwards indefinitely), so the complete recursive formula is

which means: start with 2 and generate every other term by adding 7 to the previous one.
The answer is B, because 44 is greater than 42. I hope this helps!