Answer:
Option B, 1
Step-by-step explanation:
tan 45° = 1/1 = 1
x² - 14x + 46 = 0
subtract 46 from both-side
x² - 14x = -46
Add the square of the half of the co-efficient of x
x² - 14x + (-7)² = -46 + 7²
(x-7)² = -46 + 49
(x-7)² =3
Take the square root of both-side
x-7 = ±√3
x-7= ±1.732
Add 7 to both-side of the equation.
x= 7 ± 1.732
Eithe x= 7 + 1.732 or x= 7 - 1.732
x=8.732 or x=5.268
Therefore x = 8.732 , 5.268
Step-by-step explanation:
1/3πr^2h
{(1/3)×(22/7)×2^2×6}m^3
[(1/3)×(22/7)×4×6)}m^3
{528/21}m^3
=25.1 m^3
NOTE:r=diameter divided by 2
What’s the question that you have
The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).
The zeros are x = -1, +1, +5.
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A graphing calculator confirms this.