Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and 
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Step-by-step explanation:
es un poder que lleva una gran responsa bilidad
Answer:
MAD is 5.12
Step-by-step explanation:
The following data were obtained from the question:
42, 50, 54, 38, 48
Next, we shall determine the mean of the data. This can be obtained as follow:
Mean = summation X / n
n is the number of the data.
Summation X = 42 + 50 + 54 + 38 + 48
Summation X = 232
n = 5
Mean = summation X / n
Mean = 232 / 5
Mean = 46.4
Therefore, the mean of the data is 46.4
Finally, we shall determine the mean absolute deviation (MAD) of the data as follow:
MAD = summation |mean – X| /n
MAD = (|(46.4 – 42) + (46.4 – 50) + (46.4 – 54) + (46.4 – 38) + (46.4 – 48|) /5
MAD = |4.4 + 3.6 + 7.6 + 8.4 + 1.6| /5
MAD = 25.6/5
MAD = 5.12
Therefore, the mean absolute deviation (MAD) is 5.12
Segment CD
This is because where there is a perpendicular line, there has to be a right angle(90degrees) at the point of contact.
Answer:
f(x) = 5x^2
Step-by-step explanation:
A vertical stretch is in the y direction
y = Cf(x) C > 1 stretches it in the y-direction
f(x) = 5x^2
