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 .
Answer:
0.7176 m/s m/s
Step-by-step explanation:
We are given;
Rate = 3 rev/min
Diameter: d = 15 ft
Now, we want to find how fast the stream is flowing which is the linear velocity.
Thus;
linear velocity = circumferential distance × number of revolutions
Now, circumferential distance = πd
Circumferential distance = 15π
Thus;
linear velocity = 15 × π × 3 = 45π ft/min
Converting to m/s gives;
Linear velocity = 45π/197 m/s
Linear velocity = 0.7176 m/s
Answer: 61 people have worked on this worksheet so far.
Step-by-step explanation:
Given: 80% people try to do this ratio and proportion worksheet find they need some help with the problems.
Let x be the total number of people worked on this worksheet so far.
People need some help with the problems. =80% of x = 0.80x
As per given,
0.80x=49
Hence, 61 people have worked on this worksheet so far.
Answer:
6 adults
Step-by-step explanation:
Let
x -----> the number of children
y ----> the number of adults
we know that
The ratio
so
using proportion
Find the value of y for x=(20-12)=8
therefore
6 adults
The answer is 5:) you first have to cross multiply then divide both sides from x
