Answer:
j
Step-by-step explanation:
Substitute the given values into x² + x + 1 and check if result is prime
x = - 4
(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime
(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime
(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime
4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime
x = 4 serves as a counterexample to disprove this conclusion
Answer:
x=8 x=-8
Step-by-step explanation:
-3|x|=-24
Divide each side by -3
-3|x|/-3=-24/-3
|x|=8
There are 2 solutions a positive and a negative
x=8 x=-8
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
Answer:
x = 63
Step-by-step explanation:
From the question, we can deduce the following points;
- 12 less than x which simply means 12 subtracted from x.
- the value of the above expression is equal to 51.
Translating the word problem into an algebraic expression, we have;
x - 12 = 51
Rearranging the equation (collecting like terms), we have;
x = 51 + 12
x = 63
