X + 3y = 9
3x - 3y = -13
--------------add
4x = - 4
x = -4/4
x = -1
x + 3y = 9
-1 + 3y = 9
3y = 9 + 1
3y = 10
y = 10/3
solution (-1,10/3)
5x + 10y + 5z. Distribute the .5 to the number in the parentheses. It basically just cuts the numbers in half.
Answer:
A. 
Step-by-step explanation:
See attached file :)
Hope this helps
All the love, Ya boi Fraser
The quadratic equation has the general formula:
y = ax^2 + bx + c
The vertex form has the general formula:
y = a(x-h)^2 + k
To get the vertex formula, we will need to get the values of a,h and k as follows:
1- The value of a:
The value of "a" in the vertex form is the same as the value of "a" in the quadratic form
Therefore: a = -1
2- The value of h:
the value of "h" can be computed using the formula:
h = -b / 2a
From the given quadratic equation: b = 12 and a = -1
Therefore: h = -12 / 2(-1) = 12/2 = 6
3- The value of k:
The value of k can be computed easily by evaluating y at the calculated h as follows:
The given equation is: y = -x^2 + 12x - 4
Compute the result at x=h=6 to get k as follows:
k = y = -(6)^2 + 12(6) - 4 = 32
Therefore, based on the above calculations, the vertex form would be:
y = a(x-h)^2 + k
y = -(x-6)^2 + 32
