Answer: Option C.
Step-by-step explanation:
The given inequality is
Taking x common, we get
Splitting the middle term, we get
Related equation is
These three points divide the number line in 4 parts.
Interval Sign of Statement
(-∞,-3) False
(-3,0) True
(0,2) False
(2,∞) True
So, the solution set is (-3,0) ∪ (2,∞).
Thus, minimum value is –3 and no maximum value.
Therefore, the correct option is C.
Answer:
3.15625
Step-by-step explanation:
Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
The parallel slope would be -1/2. A parallel line that has the same slope as the original line.
The answer
<span>the third rope to counterbalance Sam and Charlie is F
and vectF +vectF1 +vectF2 =vect0
let's consider axis
y'y </span>vectF = -F
vectF 1= F1cos60
vectF 2= F2cos45
-F = -F1cos60-F2co45
so F= F1cos60+F2co45= 350x0.5+400x0.7=457.84 pounds