Which equation represents the line that is perpendicular to and passes through (-12,6)?.
1 answer:
The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:
- m is the slope of the lne
- (x1, y1) is any point on the line.
- Given the equation y = 3/2x + 1, the slope of the line is 3/5
- The s<u>lope of the line perpendicular</u> is -5/3
Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:
Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
Learn more on equation of a line here:brainly.com/question/19417700
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Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x = [ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>
=> ( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>
=> ( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet