Answer:
x=1
Step-by-step explanation:
if x don't have a number next to it it =1
Answer:
![\left[\begin{array}{cccc}-12&-13&13&|15\\7&-10&-3&|11\\7&14&5&\:\:\:|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-12%26-13%2613%26%7C15%5C%5C7%26-10%26-3%26%7C11%5C%5C7%2614%265%26%5C%3A%5C%3A%5C%3A%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The system of equations is;
-12x-13y +13z =15
7x-10y-3z = 11
7x+14y +5z = -5
The coefficient matrix is ![\left[\begin{array}{ccc}-12&-13&13\\7&-10&-3\\7&14&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-12%26-13%2613%5C%5C7%26-10%26-3%5C%5C7%2614%265%5Cend%7Barray%7D%5Cright%5D)
The constant matrix is ![\left[\begin{array}{c}15\\11\\-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D15%5C%5C11%5C%5C-5%5Cend%7Barray%7D%5Cright%5D)
The augmented matrix is
All we have to do is divide the distance of the old sidewalk by 3.14:
65 / 3.14 ≈ 20.7006
That means that, rounded to the nearest meter, the new sidewalk is:
21 meters long!
Answer:
Norman bought the shoes for $117.72
Step-by-step explanation:
In order to find the answer to this question, start by multiplying the cost by the markup.
$90 * 20% = $18.
Now we add the $18 to the original price.
$90 + $18 = $108
Now that we have the mark up price, we need to do the same using the tax.
$108 * 9% = $9.72
Finally, we add that to the previous total.
$108 + $9.72 = $117.72
Answer:
28x^2+3x-18
Step-by-step explanation:
Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b
Following this: 28x^2 -21x +24x -18
Then you combine like terms: 28^2 +3x-18
hope this helped!! :)
