Answer:
Pair 1: 10 cm and 2 cm. and the sum is 12 cm.
Pair 2: 20 cm and 4 cm. and the sum is 24 cm.
Step-by-step explanation:
Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.
Pair 1:
For the first rectangle W = 4 cm and A = 40 sq, cm
Then 
cm.
For the second rectangle W = 4 cm and A = 8 sq, cm
Then 
cm.
Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)
Pair 2:
For the first rectangle W = 4 cm and A = 80 sq, cm
Then 
cm.
For the second rectangle W = 4 cm and A = 16 sq, cm
Then 
cm.
Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)
So the equation for this would be y= 90x where y would be the distance in feet covered in x seconds and x would be seconds. So to find out the distance covered in 25 seconds you would plug in 25 for x.
y= 90(25)
y= 2250
So to answer the question you would say that the cheetah would cover 2,250 feet in 25 seconds.
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
−1(5−2)(5+2)
Step-by-step explanation:
Eliminate redundant parentheses
(−11²+6)−1(14² +2)
Distribute
−11² + 6 -- 1(14² +2)
−11² + 6 - 14² − 2
1-adjacent
3 others- vertical
