For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, and in this case:
-m/4=-1
-m=-4
m=4, so the slope of the perpendicular line is 4 so we have thus far:
y=4x+b, using point (-4,3) we can solve for the y-intercept, "b"
3=4(-4)+b
3=-16+b
19=b, so our line is:
y=4x+19
Answer:
6.4 minutes, or 6 minutes and 24 seconds
Step-by-step explanation:
She is running 4 laps, so she is running 1600 meters total. If she runs 250 meters per minute, divide 1600 by 250 to determine how many minutes it will take...
1600/250 = 6.4
Which is 6 minutes + 0.4 minutes
*there are 60 seconds in a minute, so the 0.4 represents 40% of another minute. Multiply 60 by 0.4 to see how many seconds this is...
(0.4)60 = 24 seconds,
So she ran the laps in 6 minutes and 24 seconds
Answer:
x = 48 and y = 104
Step-by-step explanation:
Given equations are:
From equation 1:
Putting the value of y in equation 2
Now we have to put the value of y in one of the equation to find the value of x
Putting y = 104 in the first equation
Hence,
The solution of the system of equations is x = 48 and y = 104
The value of variable which was assumed for number of hats, is the total number of hats.
