Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.
Answer:
9.8
Step-by-step explanation:
The formula for the area of a triangle is a=bh/2, where a is area, b, is the base, and h is the height. If we substitute the values in the question in the equation, we get:
a=(6.5*3)/2
a=19.5/2
a=9.75
a≈9.8
Answer:
Step-by-step explanation:
A scalar is a constant value that is multiplied throughout a matrix.
e.g.
In number 1 the set up would look like this
3 * ![\left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-1%265%5C%5C2%261%26-4%5C%5C-6%263%262%5Cend%7Barray%7D%5Cright%5D)
To solve this, you must distribute the 3 to each value within the matrix
The solution to #1 would be
M = ![\left[\begin{array}{ccc}9&-3&15\\6&3&-12\\-18&9&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-3%2615%5C%5C6%263%26-12%5C%5C-18%269%266%5Cend%7Barray%7D%5Cright%5D)
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The vertex form of the equation is
y = a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x- -3)^2 -1
y = a(x+3)^2 -1
Pick another point (-2,0) and substitute it into the equation
0 = a(-2+3)^2 -1 to find a
0 =a(1)^2 -1
0 = a-1
1 = a
y = (x+3)^2 -1