Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.
We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.
Upon equating equation (1) and equation (2), we will get:
Upon substituting in equation (1), we will get:
Therefore, Mai lives 384 miles away from the mountains.
Answer:
Standard form:
Center:
Radius:
Step-by-step explanation:
The equation of a circle in the standard form is
Where the point (h, k) is the center of the circle
To transform this equation this equation in the standard form we use the method of square.
First, we group similar variables
Divide both sides of equality by 4
Now we complete square for variable x.
Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:
Now add on both sides of the equality
Factor the expression and simplify the independent terms
Then
and the center is
radius
Answer:
72.35%
Step-by-step explanation:
246/340 = .723529
Just multiply it by 100 to get the percentage
.723529 x 100 = 72.3529