<h3>
Answer:</h3>
33
<h3>
Step-by-step explanation:</h3>
Vocabulary
Before going into an explanation, let's go over some important vocabulary.
- Collinear - Collinear describes points that are on the same line. This means that there is 1 line with the 3 points L, M, and N.
- Segment addition postulate - The segment addition postulate states that if there are 2 collinear points (A and C) with another point in between them (B), then the statement AB + BC = AC must be true.
Solving for MN
Using the postulate above we can make a new equation. First, let's set up an equation that mirrors the postulate.
Now, let's plug in the values we know.
Then, solve.
This proves that a possible value of MN is 33.
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)
Answer:
a
Step-by-step explanation:
replace x with -7
Answer:
si muy bien
Step-by-step explanation:
Si muy beim mi amigo
