<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
Answer:
see explanation
Step-by-step explanation:
(3)
Given cosΘ = - 
Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )
Since Θ in second quadrant then sinΘ > 0
sinΘ = 
Using the trigonometric identity
sin2Θ = 2sinΘcosΘ, then
sin2Θ = 2 × × - = - 
(4)
Using the trigonometric identity
cos(x - y) = cosxcosy + sinxsiny
note cos15° = cos(45 - 30)°
cos(45 - 30) = cos45cos30 + sin45sin30
= ( 
× 
) + ( × 
)
= 
1/5 is the smallest fraction
The question is basically asking for the difference between how far ryan lives from the store and how far abby lives from the store.
therefore, to solve the problem, we can just do: distance ryan lives from the store minus distance abby lives from the store.
since ryan is 3.76 kilometers from the store and abby is 1.67 kilometers from the store, the answer is:
3.76 - 1.67 = 2.09 kilometers.
Answer:
The equation of tangent plane to the hyperboloid
.
Step-by-step explanation:
Given
The equation of ellipsoid
The equation of tangent plane at the point 
( Given)
The equation of hyperboloid
F(x,y,z)=
The equation of tangent plane at point
The equation of tangent plane to the hyperboloid
The equation of tangent plane
Hence, the required equation of tangent plane to the hyperboloid
