9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
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<em>Additional comment</em>
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Answer:
first: 4/9 second: 5/9
Step-by-step explanation:
Answer:
a) 1,679,616 sequences
b) 6,561 sequences
c) 46,656 sequences
Step-by-step explanation:
a) How many different sequences are possible?
For each of the 8 dice, there are 6 possible outcomes. Therefore, the total number of difference sequences is:
b) How many different sequences consist entirely of even numbers?
For each of the 8 dice, there are 3 possible even outcomes. Therefore, the total number of difference sequences is:
c) How many different sequences are possible if the first, third, and fourth numbers must be the same?
If the first, third and fourth numbers are fixed, there are only 5 "free" positions, while there are 6 possible outcomes for the fixed positions since they have to be the same
Answer:
0.6 deg/s²
Step-by-step explanation:
Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:
Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time
Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²
1 min = 60 seconds
1 min² = 60² s² = 3600 s²
Apologies, but there is no map...?