Answer:
11 cm, 19 cm, 27 cm
Step-by-step explanation:
Triangles have 3 sides and perimeter is the sum of all side lengths. So the equation is x + (2x-3) + (2x+5) = 57.
x + (2x-3) + (2x+5) = 57
x + 2x - 3 + 2x + 5 = 57
x + 2x + 2x - 3 + 5 = 57
5x + 2 = 57
5x = 57 -2
5x = 55
x = 11
Now that we know the value of x, we can figure out the side lengths. The first side (x) is 11 cm long, the second side (2x - 3) is 19 cm, and the third side (2x + 5) is 27 cm long.
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:
answer will be
Step-by-step explanation:
12
option d
Answer:-1/32
Step-by-step explanation:
First term=a=1024
Common ratio=r=-512/1024
r=-1/2
Using them formula
Tn=a x r^(n-1)
T16=1024 x (-1/2)^(16-1)
T16=1024 x (-1/2)^15
T16=1024 x -1/32768
T16=-1024/32768
T16=-1/32
Answer:
domain and range is -∞,+∞
Step-by-step explanation:
