Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
Answer:
⅓x + y = 5⅓
or
⅓x + y = 5.3333333
or
⅓x + y = 16/3
Step-by-step explanation:
Solve for slope using rise/run
Y2 - Y1 / X2 - X1
(6) - (5) / (-2) - (1)
1 / -3
Slope: -⅓
y = -⅓x + b
solve for b using one of the points
I'll be using (1,5)
Substitute the point into the equation
5 = -⅓(1) + b
5 = -⅓ + b (add ⅓ to both sides)
+⅓ +⅓
5⅓ = b
5⅓ can also be written as 16/3 or 5.333333
The equation is now:
y = -⅓x + 5⅓
Convert to standard form by adding ⅓x to both sides
y = -⅓x + 5⅓
+⅓x +⅓x
Solution: ⅓x + y = 5⅓
Step-by-step explanation:
9(x - 11) = 9
x - 11 = 9 / 9
x - 11 = 1
x = 1 + 11
x = 12
Hope it will help :)
