Answer:
hence cos ( 2 A ) = cos 2 A − ( 1 − cos 2 A ) = 2 cos 2 A − 1
Step-by-step explanation:Well we know that for two angles A , B
it holds that cos ( A + B ) = cos A cos B − sin A ⋅ sin B hence for A = B you get cos ( 2 A ) = cos 2 A − sin 2 A But sin 2 A = 1 − cos 2 A
Answer:
2
Step-by-step explanation:
If A = (2, 3) then a dilation of scale factor 2 means that the x and y coordinates are multiplied by 2, so x = 2 x 2 = 4 and y = 3 x 2 = 6, so A' = (4, 6)
Answer:
y + 4 = 4(x-4)
Step-by-step explanation:
Use the point slope form of a line to write the equation by substituting m = 4 and the point (4,-4).

Answer:
a) 
And replacing we got:

And simplifying we got:

b) For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.
c) We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.
Step-by-step explanation:
We know a rectangle has sides measuring (4x + 5) units and (3x + 10) units
Part a
For this case we can find the area like this:

And replacing we got:

And simplifying we got:

Part b
For this case since the coeficient for the higher degree is 2 then the polynomial is of second degree.
Part c
We need to remember that the closed property for polynomials tell to us that if we apply any operation between two polynomials we need to obtain and other polynomial. For this special case the property is the sum and after multiply we have another polynomial with a higher degree and then the closed property is satisfied.
<span>-3=7+z/2
Subtract 7 from both sides
-10=z/2
Multipy 2 on both sides so that the only thing remaining on the right side is the variable z.
Final Answer: -20= z</span>