1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Masteriza [31]
3 years ago
11

Given the cosine equation y = 2cos(4x) - 1, What is the midline?

Mathematics
1 answer:
pogonyaev3 years ago
6 0

Answer:

y = 2 \cos(4x)  - 1 \\ when \: y = 0 \\  \cos(4x)  =  \frac{1}{2}  \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts =  > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \:  \frac{0 + 1}{2} ) \\  = (7.5, \: 0.5) \\ gradient =  \frac{1 - 0}{0 - 15}  \\  =  -  \frac{1}{15}  \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 =  -  \frac{1}{15}  \times 7.5 + c \\ 0.5 =  - 0.5 + c \\ c = 1 \\  \therefore \: y =  -  \frac{1}{15} x + 1 \\  =  > 15y =  - x + 15

You might be interested in
What is 4.5b + 9 = 90
Andreas93 [3]
Easy


just remember

you can do ANYTHING to an equaiton as long as you do it to both sides


try to get place holder by itself


4.5b+9=90
minus 90 from both sides
4.5b+9-9=90-9
4.5b+0=81
4.5b=81
either divide both sides by 4.5 or double 4.5 to get rid of the decimal
I will double
double both sides
9b=162
divid both sides by 9
b=18


 
4 0
3 years ago
Read 2 more answers
A*4=e b\4=e c+4=e d-4=e A+b+c+d=100
ratelena [41]
I believed you are looking for the value of e. The value of e is 16 below is the solution:

A×4 = E, so A=E/4
B/4 = E, so B=4E
C+4 = E, so C=E=4
D-4 = E, so D=E+4
and
A+B+C+D=100.

Substitute values of A, B, C and D in the equation, we get,
(E/4) + 4E + E-4 + E+4 = 100
(E/4) + 4E + 2E = 100
(E/4) + 6E = 100
(E+24E)/4 = 100
E+24E = 100×4
25E = 400
E = 400/25
<span>E = 16</span>
4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Nady [450]

Answer:  b) -0.625

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

The formula for the z-score is:

z=\dfrac{x-\mu}{\sigma}\\\\\bullet z \text{ is the z-score}\\\bullet x \text{ is the value}\\\bullet \mu \text{ is the mean}\\\bullet \sigma \text{ is the standard deviation}\\\\z=\dfrac{6-8}{3.2}\\\\\\.\ =\dfrac{-2}{3.2}\\\\\\.\ =\large\boxed{-.0625}

6 0
3 years ago
A shirt originally cost $54.01, but it is on sale for $37.81. What is the percentage decrease of the price of the shirt? If nece
Marianna [84]

I think it's rounds at to 30

3 0
3 years ago
A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $3 per c
choli [55]
It should be 36.00 dollars 

7 0
3 years ago
Other questions:
  • Slater's Room is 5 meters long and 3 1/4 meters wide. What is the area of Slater's room?
    13·2 answers
  • Factor completely.
    15·1 answer
  • Can anyone help me with this
    14·1 answer
  • 2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a t
    10·1 answer
  • let me know if anyone needs any help with pre algebra! also, i can help with algebra regarding multiplying polynomials and balan
    9·2 answers
  • Prove that , tan 4x = 4 tan x (1-tan^2 x ) / (1-6 tan^2x + tan^4x).
    13·1 answer
  • Find the slope of the line that passes through (64, -7) and (54, 67).
    14·2 answers
  • If x^9/x^7 = 49, what is the value of x^4/x^2?
    6·1 answer
  • A can of paint covers 400 square feet how many cans will be needed to cover 3000 feet
    15·1 answer
  • Graph the equation on the coordinate plane. y=x-3 Select two points on the line to graph the line.​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!