9514 1404 393
Answer:
10√5
Step-by-step explanation:
The geometric mean of two numbers is the square root of their product.
m = √(20×25) = √500 = √100 × √5
m = 10√5
The geometric mean of 20 and 25 is 10√5.
Yes it is the same. 1/4 +1/4 = 1/2. so 9/10-1/2=9/10-1/2
Answer:
(2, -4.5)
Step-by-step explanation:
Used midpoint formula
Answer:
Total Cost - 54c
Step-by-step explanation:
Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.
Calculation,
Total of residence
14+23+17
= 54 residents
Hence, since there are 54 residents, total cost 54c.
Answer:
Maximum area = 800 square feet.
Step-by-step explanation:
In the figure attached,
Rectangle is showing width = x ft and the side towards garage is not to be fenced.
Length of the fence has been given as 80 ft.
Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced
80 = x + x + y
80 = 2x + y
y = (80 - 2x)
Now area of the rectangle A = xy
Or function that represents the area of the rectangle is,
A(x) = x(80 - 2x)
A(x) = 80x - 2x²
To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

= 80 - 4x
A'(x) = 80 - 4x = 0
4x = 80
x = 
x = 20
Therefore, for x = 20 ft area of the rectangular patio will be maximum.
A(20) = 80×(20) - 2×(20)²
= 1600 - 800
= 800 square feet
Maximum area of the patio is 800 square feet.