Answer:
1/8
Step-by-step explanation:
Answer:
y = -1/3x
Step-by-step explanation:
The slope of that are perpendicular lines are negative opposites of each other. If a line has a slope of 3, then a line perpendicular to it will have a slope of (-(1/3)).
Use the equation of a line in point-slope form to solve this;
y = mx + b
where "m" is the slope and "b" is the y-intercept.
Substitute the slope in;
y = (-1/3)x + b
Since it passes through the origin, then it has no y-intercept, therefore the equation of the line is;
y = -1/3x
360 /12 = 30
Each 5 minutes is 30 degrees
2*pi/12 = pi/6
each 5 minutes is pi/6 degrees
pi/3 = 2*pi/6 = 2 * pi/6 = 2* 5 minute = 10 minutes
the minute hand moves from 4 to 6
2 * pi/3 = 2 * (2*pi/6) = 4 *(pi/6) = 4 * 5 minutes = 20 minutes
The minute hand moves from 3 to 7
5 * pi/6 = 5 * 5 minutes = 25 minutes
the minute hand moves from 5 to 10
7 * pi/6 = 7 * 5 minutes = 35 minutes
the minute hand moves from 2 to 9
Step-by-step explanation:
Given: X is midpoint of UV and Y is midpoint of VW.
(By mid-point theorem)
28.) -3 | r + 4| = -21...divide both sides by -3
| r + 4 | = -21/-3
| r + 4 | = 7
r + 4 = 7 -(r + 4) = 7
r = 7 - 4 -r - 4 = 7
r = 3 -r = 7 + 4
-r = 11
r = -11
solution is : r = 3 or r = -11
=======================
32. ) 4| 7y + 2 | - 8 = -7....add 8 to both sides
4 | 7y + 2 | = -7 + 8
4| 7y + 2 | = 1 ...divide both sides by 4
| 7y + 2 | = 1/4
7y + 2 = 1/4 -(7y + 2) = 1/4
7y = 1/4 - 2 -7y - 2 = 1/4
7y = 1/4 - 8/4 -7y = 1/4 + 2
7y = -7/4 -7y = 1/4 + 8/4
y = -7/4 * 1/7 - 7y = 9/4
y = - 7/28 reduces to - 1/4 y = 9/4 * -1/7
y = - 9/28
solution is : y = -1/4 or y = -9/28
=========================
34.) I cant see this one
