Answer:
12.083 units
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under

Where


Replacing these values in the distance formula





Hence the distance is 12.083 units
The y-intercept will equal 13
Answer:
Rate in still water = 27.5 mph
Current's rate = 12.5 mph
Step-by-step explanation:
Let
x mph = row team rate in still water
y mph = current's rate
<u>Upstream:</u>
Distance = 30 miles
Time = 2 hours
Rate = x - y mph
Then

<u>Downstream:</u>
Distance = 30 miles
Time = 45 minutes
hour
Rate = x + y mph
Then

From the first equation:

From the second equation:

Add these two equations:

Subtract these two equations:

Answer:
Therefore approximate Volume of Cone is 11.78 inch³.
Step-by-step explanation:
Given:
Cone Shape :
Height = h = 5 inches
Radius = r = 1.5 inches
To Find:
Volume of Cone = ?
Solution:
Formula for Volume of Cone is given by
Substituting the given values we get
Therefore approximate Volume of Cone is 11.78 inch³.
G(x) would involve a translation left 1 and up 1.
g(x) is written in vertex form, which is
g(x) = a(x-h)²+k, where (h, k) is the vertex. Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9). Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.