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.
1 U.S. CUP - 0.0625 U.S. GALLONS
So? Convert the cups to gallons.
7 DAYS/PER WEEK
1.5 x 7 = 10.5
So... half a cup is about 0.03125 gallons.
0.03125 + (10 x 0.0625) = ???
Drum roll please...
Plot twist: You can do it yourself.
:P
Find midpoint of segment.
(-1,1), (7,-5)
Find slope of line which passes through (-1,1) and (7,-5).
The slope of perpendicular line is negative reciprocal value of m.
Write quation of line which slope is
and passes throug the point (3,-2).
Answer:
Step-by-step explanation:
∠Y = ∠P, so AY = AP
Perimeter = AY + AP + 13 = 43
AY + AP = 30
∠Y = ∠P, so AY = AP
AP = 30/2 = 15
Answer:
B. √50
Step-by-step explanation:
is 49 so √49 is 7
So,
since the <u>closest number to 49 is 50</u>, that is the answer.
