This occurs when the two numbers are prime. Prime numbers have only two factors, 1 and the value of the number itself. Therefore, two dofferent prime numbers would share no common factors other than 1.
Hope this helps!
The <em><u>correct answers</u></em> are:
A-theorem
; B-corollary
; C-Postulate
; and E-Definition.
Explanation:
In a proof, we are tasked with proving one statement using other information that has already been proven.
Theorems are statements that have already been proven, and are used to prove other statements.
A postulate is a statement that is assumed to be true, and is used to prove other statements.
A corollary is a direct consequence of a proven fact, and as such, are used to prove other statements.
A definition is an absolute truth, so it can also be used to prove another statement.
Answer:
0.006410256
Step-by-step explanation:
3) x² - 121 = 0
x² = 121
x' = +√121
x' = 11
_______________
x'' = - √121
x'' = -11
Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)
4) 4x² + 144 = 0
4x² = -144
x² = -144 / 4
x² = -36
x = √-36
No solution ⇒ S = ∅
5) z²+10z+21 = 0
Δ = 10² - 4(1)(21)
Δ = 100 - 84
Δ = 16
x' = (-10+4) / 2 = -6/2 = -3
x'' = (-10-4) / 2 = -14/2 = -7
Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
Slope: -2
Y-intercept: 8
If there is ever a plus or minus symbol not containing an x variable, that will be the y-intercept. Anything with an x variable will be the slope.
