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:
The coordinates are 3,1
Step-by-step explanation:
i did the assignment and it js correct
Answer:
40 square inches.
Step-by-step explanation:
It is given that the new club sticker is in the shape of a triangle.
Height of triangle = 8 inches
Base of triangle = 10 inches
We need to find the area of sticker.
Area of triangle
Substitute base = 10 and height = 8 in the above formula.
Area of triangle
Area of triangle
Area of triangle
Therefore, the area of the club sticker is 40 square inches.
slope of line=(y2-y1)/(x2-x1)
give is
(x1,y1)=(8,2)
(x2,y2)=(10,2)
therefore slope =(2-2)/(10-8)=0/2=0
Hence
answer
Slope of line=0
U have a dashed line...meaning there is no equal sign in the problem.....it goes thru the origin (0,0)...meaning the y int is 0....u have a slope of 3/4
so ur inequality is : y = 3/4x <==