Answer:
Jorge was charged for 10 hours that month
Step-by-step explanation:
Given : Jorge’s monthly bill from his Internet service provider was $25.
Also given : The service provider charges a base rate of $15 per month plus $1 for each hour that the service is used
We have to find the number of hours that Jorge was charged for that month.
Let the number of hour be x,
Total bill = base rate + 1 (number of hours used)
Total bill = base rate + 1(x)
Substitute the values, we get,
⇒ 25 = 15 + 1 (x)
Solving we get,
⇒ 25 - 15 = x
10 = x
Thus, Jorge was charged for 10 hours that month
Answer:
x = 25
Step-by-step explanation:
If JK and MN are parallel lines, then ∠JKL = ∠LMN = 61°
By the opposite angle rule, ∠JLK = 39°
In a triangle three angles sum up to 180°
so, ∠JLK + ∠JKL +LJK = 180°
39° + 61° + 3x+ 5 = 180°
3x = 75
x = 25
Answer:
+ 11m - 11
Step-by-step explanation:
6m+(m-2)(m+7)+3 = 6m + [ m*m - 14 -2m + 7m] + 3
= 6m + mm - 14 + 5m + 3
= mm + 11m - 11
6m+(m-2)(m+7)+3 =
+ 11m - 11
]Eigenvectors are found by the equation
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implying that

. We then can write:
And:
Gives us the characteristic polynomial:

So, solving for each eigenvector subspace:
![\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bcc%7D%204%20%26%202%20%5C%5C%205%20%26%201%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20x%20%5C%5C%20y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%3D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20-x%20%5C%5C%20-y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20)
Gives us the system of equations:
Producing the subspace along the line

We can see then that 3 is the answer.
Answer:
Distance = 8.06
Step-by-step explanation:
We have to use the distance formula
.
coordinates of the first point
coordinates of the second point
To solve, plug the appropriate values into the formula.