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Oliga [24]
3 years ago
7

Write an equation for a function with the given characteristics. A cosine curve with a period of pi, and amplitude of 1, a left

phase shift of pi, and vertical transiation up 5/2 of a unit.
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

y = cos (2x + 2π) - 5/2

Step-by-step explanation:

y = a cos (bx + c) +d

a = Amplitude =1

period = 2π/b =π

b= 2

phase shift  c/b = π

c/2 =π

c =2π

vertical translation = 5/2 units

d = -5/2 downwards

therefore substituting the values

y=1 cos (2x +2π) - 5/2

y = cos (2x + 2π) - 5/2  ;equation  for the function

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Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown b
liraira [26]

Answer:

Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Step-by-step explanation:

i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.

ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)

iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).

iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

6 0
3 years ago
Read 2 more answers
1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
3 years ago
PLEASE HELP DUE TODAY 50 POINTS
Alchen [17]
This is simple proportions, because of their similarity:

\frac{13}{38.6} = \frac{10}{x}

x =  \frac{386}{13}
8 0
3 years ago
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Answer the photo below thanks <br> Please explain your answer
Norma-Jean [14]

Answer:

A = 1863

Step-by-step explanation:

There are a few ways you could do this but I will do the one I know best.

Keep in mind the area is the L(enght x W(idth) = A(rea)

There are two long rectangles if you cut off the square in the middle so find the area of those two first.

31 x 23 = 713

713 x 2 = 1426 (Did this to get the area for both of them.

Now find the area of the square.

23 x 19 = 437

The you would add them all up together to get 1426 + 437 = 1863

Hope this helps :)

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3 years ago
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kicyunya [14]

Answer:The answer is False. i hope i helped you out


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