Answer: StartFraction negative 1 plus-or-minus StartRoot 21 EndRoot Over 2
Step-by-step explanation:
The given quadratic equation is expressed as
x² = 5 - x
Rearranging the equation to take the standard form of ax² + bx + c, it becomes
x² + x - 5 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = 1
c = - 5
Therefore,
x = [- 1 ± √(1² - 4 × 1 × - 5)]/2 × 1
x = [- 1 ± √(1 - - 20)]/2
x = [- 1 ± √21]/2
x = (- 1 + √21)/2 or x = (- 1 - √21)/2
Rual because negatives move backwards so the higher the number the smaller it is
The answer to the selected math problem is 10
Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN = °
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO = °
For the second question, things become somewhat more complex.
We know that ∠GHD = ° and ∠AGH °.
You correctly calculated that °.
∠AGE is equal to both ° and °. Either equation will work just fine.
∠AGE = °
So m∠AGE = 160°
"Increasing" and "decreasing" are references to what the y-values do when the x-values increase.
Attached is a copy of all four tables, marked with whether the y-values increased or decreased on each step (and it also shows how much that increase or decrease was.
The only table that does this is the top right table in the attachment, which is your second table.