Answer:
ASK you teacher very confusing
The number of exports is GREATER than the number of imports if the bar for exports (pink) is TALLER than the bar for imports (blue). It appears that happens only on Friday.
The required matrix is:
![\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%2617%260%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We need to apply elementary row operation -2R₂+3R₁ tothe matrix:
![A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%262%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Multiplying Row 2 with -2 and Row1 with 3 and adding,
-9 15 6
-16 2 -6
----------
-25 17 0
After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁
The required matrix is:
![\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%2617%260%5C%5C8%26-1%263%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Keywords: Matrices, elementary row operation
Learn more about matrices at:
#learnwithBrainly
Answer:
4/5
Step-by-step explanation:
2/5 x 2/1
Multiply across 2x2=4
5x1=5
4/5
Answer:the unknown leg is 7.5
Step-by-step explanation:
The given right angle triangle has a hypotenuse, a known leg and an unknown leg.
From the triangle,
The hypotenuse is 9
The known leg is 5
The unknown leg is x
The formula for Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Hypotenuse^2 = known leg^2 + unknown leg^2
Therefore
9^2 = 5^2 + x^2
81 = 25 + x^2
x^2 = 81 - 25 = 56
x = √56 = 7.5