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.
I hope this helps you
first number 16
second number ?
Sum of these numbers =x
x=16+?
?=x-16
Answer:
3600000
Step-by-step explanation:
5000000*.28 = 1400000
5000000-1400000 = 3600000
Range is the value of the output
basically
y=f(x)
since it is -4
y=-4 is the range
not listed
Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.
THerefore 142+y=180
Subtracting 142 from both sides
y = 38
Now in the down right sides corner triangle
38+49+w=180
87+w=180
Subtracting 80 from both sides,
w = 93
So the measurement of angle w = 93 .
