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
7/8 + x = 1
subtract 7/8 from each side
x = 1-7/8
x = 8/8 - 7/8
x = 1/8
<u>Answer:</u>
The 4th term of the geometric sequence with = 5 and ratio (multiplier) = -3 is -135
<u>Solution:</u>
Given that, first term a of a G.P = 5 and common ratio ( r ) = -3 for an geometric progression.
We have to find the 4th term of the above given geometric progression
We know that, nth term of an G.P is given by

So, now, 4th term is


hence, the 4th term of the given G.P is -135
Answer: 12
<u>Step-by-step explanation:</u>
The LCM of 48 and 28 is 336
It would take 336 ÷ 28 = 12 revolutions of gear B
and 336 ÷ 48 = 7 revolutions of gear A
to match up the arrows.
Answer:
Step-by-step explanation:
Onehundred twenty-million-fivehundred forty thousand