Answer:
reflect y = cos x over the x-axis
Step-by-step explanation:
When a function is reflected over the x-axis, the transformation is:
y = -f(x)
If it were reflected over the y-axis, the transformation would be:
y = f(-x)
Answer:
The statement that best describes how the author of "The Train to Somewhere" alters historical details to tell her story is option B;
B. The author describes the experiences and feelings of an imaginary orphan who was sent west on an orphan train
Step-by-step explanation:
The author included the experiences of one of the children who according to the historical details in the historical account of the Orphan Train Riders were aided by the minister, Charles Loring Brace, to be taken from the New York City streets on the East to other states and Canada to the West
The child, a 5 year old girl, who had lost both parents had been living on the street with her brother for some months
The author also highlighted the taught by the child, of being separated from her brother at one of the destination towns of the train, and the manifestation of the beliefs of the minister, Brace, of the children finding loving families that would help them become productive members of society.
Answer:

Step-by-step explanation:
we know that
step 1
Find 
we know that

we have

substitute



Remember that
Angle theta lie in Quadrant I
so
is positive

Remember that

therefore

step 2
Find 
we know that


we have


substitute


step 3
Find 
we know that

we have

substitute



Remember that

therefore

Answer:

Step-by-step explanation:
When multiplying fractions, we can multiply them straight across.
×

15 and 48 have a common factor, which is 3, so we can divide the numerator and denominator by 3 to simplify.

Answer:
The width = 16 yards and the length = 25 yards.
Step-by-step explanation:
Let x yards be the original width, then the original length is 2x - 7 yards.
Therefore the original area = x(2x - 7) yd^2.
The new area = (2x - 7 + 11)(x - 6)
= (2x + 4)(x - 6) yd^2.
So we have the equation
x(2x - 7) - (2x + 4)(x - 6) = 40
2x^2 - 7x - (2x^2 - 12x + 4x - 24) = 40
2x^2 - 7x - 2x^2 + 8x + 24 - 40 = 0
x - 16 = 0
x = 16 yards = the width.
The length = 2(16) - 7 = 25 yards.