Answer:
Part 1) The vertex is the point (-83,-9)
Part 2) The focus is the point (-82.75,-9)
Part 3) The directrix is 
Step-by-step explanation:
step 1
Find the vertex
we know that
The equation of a horizontal parabola in the standard form is equal to

where
p≠ 0.
(h,k) is the vertex
(h + p, k) is the focus
x=h-p is the directrix
In this problem we have

Convert to standard form



so
This is a horizontal parabola open to the right
(h,k) is the point (-83,-9)
so
The vertex is the point (-83,-9)
step 2
we have

<em>Find the value of p</em>


<em>Find the focus</em>
(h + p, k) is the focus
substitute
(-83+1/4,-9)
The focus is the point (-82.75,-9)
step 3
Find the directrix
The directrix of a horizontal parabola is

substitute


Answer:
Maria's book was 8 days late
Step-by-step explanation:
According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:
0.15x+2= 3.20
x= number of days that the book was late
Now, you have to solve for x:
0.15x= 3.20-2
0.15x= 1.20
x= 1.20/0.15
x= 8
The book was 8 days late.
5 1/3+1 1/3
= 15/3+1/3 3/3+1/3
=20/3
= 18/3+2/3
=6 2/3
OR
when both fractions are the same, you can just add them this way:
5 1/3 + 1/3
= 5+1 + 1/3+1/3
=6+2/3
= 6 2/3
Answer:
(a+2)
Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.