The number that should be added to both sides is 16 because its half of b, which is then squared. You then get (x+4)^2=20, which you then square root both sides and get x+4=+-20 and then subtract the 4 to get x=-4+-20
Answer:
Wait, could you explain
Step-by-step explanation:
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = -
= - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.

For substitution method we substitute the value of x or y from one equation to other.
Let:

Putting value of y from equation 2 into equation 1

So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2

Now, putting value of x in equation 1

So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Answer:
12,354 leaves
Step-by-step explanation:
Leaves fallen from a maple tree =
= 
At the end of 7 weeks
= 384 + 384(1.5) + 384(1.5)² + 384(1.5)³ + 384(1.5)⁴ + 384(1.5)⁵ + 384(1.5)⁶
= 12,354 leaves
12,354 leaves fell from the tree.