Answer:
Step-by-step explanation:
(a+ b)² = a² + b² + 2ab
(2x + y)² = (2x)² + y² + 2*2x *y
= 4x² + y² + 4xy
(a- b)² = a² + b² - 2ab
(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y
= 9x² + 4y² - 12xy
(a - b)(a +b) = a² - b²
(x - 4y(x + 4y) = x² - (4y)²
= x² - 16y²
(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)
= 4x² + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²
= 4x² + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²
= 4x² - 9x² + x² + y² - 4y² - 16y²+ 4xy + 12xy
= -4x² - 19y² + 16xy
Answer:
<h2>P(x) = (x+3)(x-2)^2</h2>
Step-by-step explanation:
Looking at the brackets you can see where the curve will intersect the x-axis.
The graph shows the curve intersecting at (0,-3) and (0,2).
This means:
x = -3
AND
x = 2
Rearrange the equations, equating them to 0.
x + 3 = 0
x - 2 = 0
This will be the values in the brackets.
Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.
Therefore your brackets are: (x+3)(x-2)(x-2)
Which can be simplified:
(x+3)(x-2)^2
Where ^2 means squared.
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
I got 70
Combination=n!/((n-r)!r!)
=8!/((8-4)!*4!)
=8*7*6*5*4!/(4!*4!)
=8*7*6*5/(4*3*2)
=70 ways
Answer:
$5.33
Step-by-step explanation:
