Hey there!
First, we want to put the equation of this first line in slope-intercept form.
5y=x-5
We divide both sides by 5.
y=1/5x-1.
The slope of a perpendicular is line is the negative reciprocal of the slope of the original line. The slope of a line perpendicular to a line with the equation y=1/2x would be -2, because you flip the numerator and denominator and then make it negative.
So, this means that the slope of the line perpendicular to the line y=1/5x-1 is -5. So, here's our equation so far.
y= -5x+b
Now, we need to find the b. To do this, we can plug in this point (-1,0) that this perpendicular line goes through and solve for b.
0=-5(-1)+b
0=5+b
b= -5
So, this gives us the equation y= -5x-5
Have a wonderful day!
At a speed of 40 mph, it would take 15 minutes to drive to the mall
The first step to take in order to determine the answer is to determine the distance driven to the mall. This information is not given so it has to determined.
Distance = speed x total time
- speed = 30 mph.
- time = 20 minutes
Speed is measured in hours, while time is measured in minutes. Both data has to be converted to the same time measurement
To convert time to hour, divide by 60 = 20 / 60 = 1/3
Distance = 1/3 x 30 = 10 m
The second step is to use the distance determined in the previous step to determine the time it would take to travel at a speed of 40 mph
Time = Distance / Average Speed
10 / 40 = 1/4 hours
To convert hours to minutes, multiply by 60 :1/4 x 60 = 15 minutes
In order to determine the time that it would take to drive to the mall, first determine the distance to the mall. Use the distance and speed to determine the time
A similar question was solved here: brainly.com/question/14391898?referrer=searchResults
Equation of the straight line can be given in more form. The most common forms are implicit (general or standard) form ax+by+c=0 and explicit form y=kx+i, where k is line coefficient and l is cut which line made on the y axis. If k>0 then the angle that takes straight line with the positive direction to the x axis is sharp and if k<0 then the angle that takes straight line with positive direction to the x axis is obtuse. In you case you only need to form one monomial with variable y in the given equation in the following way: 3x-4y+7=3y => add to both side (-3y) and you get 3x-4y-3y+7=3y-3y finally we get implicit or general 3x-7y+7=0. If is it necessary to transform from the implicit into the explicit form we will do this in the following way: 3x-7y+7=0 add to both side expression (-3x-7) => 3x-3x-7y+7-7=-3x-7 => divide both side with (-7) => y= (-3x-7)/ (-7) => finally we get y=3/7 x + 1 ( in our case coefficient of direction k=3/7 and the cut which line is made3 on the y axis l=1). Its display in the decartes coordinate system is given in one of the already given answers.
Answer:
-4x
Step-by-step explanation:
4x + 19 = -4x + 12
0 = 12 - 19
0 ≠ -7
