We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Answer:
i believe its false good Sir
Answer:
3 hours
Step-by-step explanation:
Given that:
Time taken by Kalon = 4 hours
Time taken by Marna =?
Time taken if the work together = 1 5/7 hours
Kalon's rate = 1/ time =. 1/4
Kalon + Marna = 1 ÷ 1 5/7 = 7/12
Hence,
Marna's rate = 7/12 - 1/4
Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3
Marna's rate = 1/3
Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours
90 degree rotation clockwise : (a,b) --> (b,-a)
so... (24,-15) --> (-15,-24) is a 90 degree clockwise rotation
