Answer:

Step-by-step explanation:
we have

we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to
therefore
For
-----> one unit to the right of the vertex
Find the value of 


For
-----> one unit to the left of the vertex
Find the value of 


Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b




= -7 Multiply both sides by 10
x = -70
C. x = -70
Answer:
Option E 15 cm
Step-by-step explanation:
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc DE by a central angle of 45 degrees
Let
x -----> the length of arc DE

Answer:
It will take Carrie 8 months to pay off the loan
Step-by-step explanation:
Step 1: Determine the expression for total amount to be paid
T=m×n
where;
T=total amount to be payed
m=total payments per month
n=number of payments to be made
In our case;
T= $960
m= $120
n=unknown
replacing;
960=120×n
120 n=960
n=960/120
n=8 months
It will take Carrie 8 months to pay off the loan
Answer:
distributive property
Step-by-step explanation:
The distributive property is described as
a(b + c) = ab + ac
5(12 - 4) = 5(12) - 5(4) ← is obtained using the distributive property