A line in point-slope form has the equation
y = mx + b
where m=slope (increase in y for unit increase in x), and
b=y-intercept (value of y where line cuts y-axis)
The original line is
y=(-1/2)x + 11
so
slope = m = -1/2
Any line perpendicular to a line with slope m has a slope of m1=-1/m
So the slope m1 of the required line
m1 = -1 / (-1/2) = +2
and the required line therefore has an equation of
y=2x+b
Knowing that the line passes through P1=(x1, y1)=(4,-8), we can find b using the point slope form of a line with slope m : (y-y1) = m(x-x1)
where m=+2 as found above.
Substituting values, m=+2, x1=4, y1= -8
y-(-8) = +2(x--4)
simplify
y+8 = 2x-8
=>
y=2x-16 (in point slope form)
Y=2x-5.
I found the slope using the formula m=y2-y1/x2-x1.
m=-3-1/1-3=-4/-2=2.
I used (3,1) (only use one point, your choice) to find out b. 3=x, 1=y.
y=mx+b is the formula for slope intercept equations, so I plugged in the x and y.
1=2(3)+b; 1=6+b, subtract 6 on both sides and get -5=b.
I used the information to get y=2x-5.
Hope this isn’t too confusing! :)
17 meters because 5^2+12^2=17 meaning the answer must be d
Answer:
The mean number of customers that will arrive in a five-minute period is 2.
Step-by-step explanation:
a. What is the mean or expected number of customers that will arrive in a five-minute period
For one minute, the mean is of 0.4 customers.
So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.
The mean number of customers that will arrive in a five-minute period is 2.
Answer:1.75t + 3.50 ≤ 20
Step-by-step explanation:hope this helps :)
