Answer:
b = 40 and -40
Step-by-step explanation:
General form of Perfect square trinomial is a 2 + 2 a b + b 2
Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40
The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .
if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40
The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .
The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .
Ok so you are going to want to add up the two totals of both cars, you add them because you want a straight line if the two card and how far apart they are. so 17+144= 161miles apart
Answer:
There was 32.5mm of rainfall on the seventh day.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values of a data-set divided by the number of values in the data-set.
The mean daily rainfall for a week was 5.5mm.for the first six days the mean rainfall was 1mm.
This means that during the week(7 days), the total amount of rain was of:
How much rainfall on the seventh day ?
This is x. We have that:
There was 32.5mm of rainfall on the seventh day.
3/4x = 2/3
4/3(3/4)x = (2/3)(4/3)
x = 8/9
4 * 3/5
When multiplying a fraction by an integer, multiply the numerator by the integer.
4 * 3/5 = 12/5
