Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
Answer:
Step-by-step explanation:
u = Initial velocity of baseball
= Angle of hit = 
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
= Height of hit = 2.5 ft
= g = Acceleration due to gravity = 
t = Time taken
Displacement in x direction
Displacement in y direction
The minimum initial velocity needed for the ball to clear the fence is
Answer:
Step-by-step explanation:
Let's get all of the terms with the 
on the right-hand side of the equation, and everything else on the left-hand side of the equation.
To do this, we should add 
to both sides of the equation to remove the 
from the left-hand side of the equation:
Finally, to get the by itself, we can divide both sides by 
:
If each of them got 1/3 of the deck then they would each get 7 cards
We have that
sin ∅=-0.7660
the sin ∅ is negative
so
∅ belong to the III or IV quadrant
but
180°< ∅ < 270°
hence
∅ belong to the III quadrant
sin ∅=-0.7660
sin² ∅+cos² ∅=1
cos² ∅=1-sin² ∅------> cos² ∅=1-(0.7660)²-----> 0.4132
cos ∅=√0.4132-----> cos ∅=0.6428
the value of cos ∅ is negative-------> III quadrant
cos ∅=-0.6428
tan ∅=sin ∅/ cos ∅----> tan ∅=-0.7660/-0.6428----> tan ∅=1.1917
the answer is
tan ∅ is 1.1917
