Answer:
The distance between the two points is 
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

This assigns a name to our points:
Therefore, we can plug these into the formula and solve:

Therefore, the distance between the two points is
.
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
I think you’d do (5,8) - (1,3) to get (4,5)
8a+4s=840
a=s+30
8(s+30)+4s=840
12s+240=840
12s=600
s=50
A=s+30
a=50+30
a=80
The drama play sold 80 adult tickets