Answer:
slope = - 5
Step-by-step explanation:
given the equation of a line in the form
y = mx ← m is the slope
y = - 5x is in this form with slope m = - 5
Given:
DE contains the points D(1, -2) and E(3, 4).
FG contains the points F(-1, 2) and G(4, 0).
To find:
Is DE perpendicular to FG.
Solution:
Slope of DE:
Here 
m = 3
Slope of FG:
Here 
<em>Two lines are perpendicular if product their slopes are -1.</em>
Slope of DE × Slope of FG
≠ -1
The solution is no, because the product of the slopes is not -1.
Answer:
y = 0.5cos(4(x+π/2)) -2
Step-by-step explanation:
The centerline of the oscillation is at -2, so only the 2nd and 4th choices are viable.
The multiplier of x is computed from (2π)/period. One period is π/2, so the multiplier of x is ...
... 2π/(π/2) = 4 . . . . . matching the 2nd selection.
The horizontal offset in the second equation (π/2) is of no consequence, as it is one full period of the function.
The peak-to-peak amplitude of the oscillation is 1 unit, so the multiplier of the cosine function (which usually has a peak-to-peak value of 2 units) is 0.5. Every offered answer has that characteristic.
The appropriate choice is the 2nd one:
... y = 0.5cos(4(x+π/2)) -2
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Large eggs : ≥2 ounces
Mean of 48 large eggs = 2.1 ounces
Mean absolute deviation = 0.08 ounces
0.08 ounces here is the mean absolute deviation of the 48 large eggs weighed, meaning that:
The average of the sum of the absolute differences in each individual egg and the mean value of all eggs weighed is 0.08.
This means that the average difference, variability or deviation in the weight of large eggs weighed is 0.08 ounces around the mean value of all eggs weighed.
Mean Absolute Deviation (MAD) :
Σ|xi - mean| / n
xi = each individual value
n = number of values
5 0 5 that’s how mine got corrected for some reason!
