Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
(look at this equation) y=3x+2
Step-by-step explanation:
1. 2y-6x=4
2. Add -6x over to the other side
3. Subtract 2 from both sides
4. Look and see which points according to the equation that I answered for you.
Answer:
2/√2
Step-by-step explanation:
We are to solve this surd question
2(√3)/√6
2(√3)/√2×3
2(√3)/√2×√3
Divide both by√3
2/√2
We will have to leave the answer in surd form
So the final answer is 2/√2
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
