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LiRa [457]
3 years ago
15

PLEASE HELP 20+ POINTS!! What is the cosine equation of the function shown?

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:   \bold{y=7\ \cos\bigg(x-\dfrac{\pi}{4}\bigg)-4}

<u>Step-by-step explanation:</u>

y = A cos (Bx - C) + D

  • A (amplitude) = max - D
  • B = Period/2π  --->   Period is the distance from max to next max
  • C = B · Phase Shift  ---> Phase shift is distance from y-axis to max
  • D (vertical shift) = (max + min)/2

D = (max + min)/2     =     (3 - 11)/3      =  -4

A = max - D               =     3 - (-4)         = 7

Period = 9π/4 - π/4   =    8π/4            = 2π

B = Period/2π           =    2π/2π          = 1

Phase Shift = π/4 - 0 =     π/4

C = B · Phase Shift    =  1 · π/4            = π/4

Equation:

           y = 7 cos (1·x - π/4) + (-4)

               

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Furkat [3]
920,438. 921,438-1,000=920,438
5 0
3 years ago
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If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
Ronch [10]

Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is (x,y)\rightarrow (-x,y)

Substituting the point (-2,1) in the rule, we get;

(-2,1)\rightarrow (2,1)

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is (x,y)\rightarrow (x,-y)

Substituting the point (2,1) in the rule, we get;

(2,1)\rightarrow (2,-1)

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is (x,y)\rightarrow (-x,-y)

Substituting the point (2,-1) in the rule, we get;

(2,-1)\rightarrow (-2,1)

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

7 0
3 years ago
The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate
hoa [83]

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

3 0
2 years ago
PLZ HELP ME ON THISSS!!
gavmur [86]

Answer:

1.12

2.10

3.11.40

4.10.48

5.10.95

6.10.72

7.11.53

Step-by-step explanation:

you can put them in order

6 0
2 years ago
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Please help me with that
PtichkaEL [24]
Common solution for each problem:
let
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&,
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distance between 1st and 2nd point is:
√[(x2-x1)²+(y2-y1)²]

Just replace these x2,y2,x1,y1 with given points and you will get required answer..
7 0
3 years ago
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