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:
17
Step-by-step explanation:
Answer:
x= 8
Step-by-step explanation:
17x + 3 = 139
17x = 136
x = 8
Answer:
D
Step-by-step explanation:
Let's start by crossing everything out!
12/3 can be crossed out to 4.
a^3/a^2 can be crossed out to a.
b^6/b^4 can be crossed out into b^2.
c^5/c^5 is just 1.
So which the results we got, we can multiply them, so that it is 4ab^2.
4ab^2 is our final answer!
To find the surface area of the figure , we need to add the surface area of all the faces
So the surface area of figure = Area of two lateral rectangular faces + Area of two triangular faces + area of base
hence
Surface Area of figure = 2(10*15) + 2( 1/2 * 8 * 12) + (12*15)
= 300 + 96 + 180
= 576 square feet
So correct option is the last one
