You're aware that
... (x +a)(x +b) = x² +(a+b)x + ab
so
... (x +a)² = x² +2ax + a²
With this in mind, you notice that 25 is the square of a prime, so that is your first clue that the trinomial is a square. The last bit of information you need for that conclusion is that the coefficient of x satisfies
... 10 = 2√25 = 2·5
Now, you know ...
... x² + 10x + 25 = (x +5)² = (x +5)(x +5)
The two binomials are both (x+5).
ANSWER:
Matt £40 Cat£80
EXPLANATION:
120/3=40
40 is how much it would be if they divided 120 by 3.
3 is how much they are splitting it by.
40x2 is how much Cat is getting
The travel rates are :
- With traffic = 40 mph
- Without traffic = 60 mph
Recall :
Distance = speed × time
With traffic :
Time taken = 3 hours
Average speed = d
Distance = 3 × d = 3d ---(1)
Without traffic :
Time taken = 2 hours
Average Speed = 20 + d
Distance = 2(20 + d) - - - (2)
Equating (1) and (2)
3d = 2(20 + d)
3d = 40 + 2d
3d - 2d = 40
d = 40
The rates for each half :
With traffic = 40 mph
Without traffic = 40 + 20 = 60 mph
Learn more : brainly.com/question/18796573
I believe Jessica’s rate in miles per hour is 0.9.