Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Length of the aquarium is 35 yd
Step-by-step explanation:
- Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd
Length = Volume/Width × Height
= 210/3 × 2 = 210/6
= 35 yd
Answer:
Step-by-step explanation:
Given
Normal Hour = 32 hours
Overtime = Hours above 32
Rate for Overtime = 1.4 times normal rate
Earnings = $535.62
Required
Determine the normal hour pay
First, we need to determine the hours worked overtime.
This is:
The equation that binds all the parameters is:
This gives:
Solve for r
