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AnnyKZ [126]
2 years ago
6

Sin^22x - 2cos2x + 2=0

Mathematics
1 answer:
zhuklara [117]2 years ago
5 0

Answer:

x=πn, n∈Z

Step-by-step explanation:

if sin²2x=1-cos²2x, then

1-cos²2x-2cos2x+2=0; ⇒ cos²2x+2cos2x-3=0; ⇔ (cos2x+3)(cos2x-1)=0;

\left[\begin{array}{cc}cos2x+3=0\\cos2x-1=0\\\end{array} \  \ \left[\begin{array}{cc}x \ 'does-not-exist'\\cos2x=1\\\end{array} \  \ 2x=2\pi n, n=Z \  x=\pi n, n=Z

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In the table below, x represents miles traveled and y represents the cost to travel by train.
Anastasy [175]

Answer:

The second equation is correct.

y=2.25x + 4

Step-by-step explanation:

We can systematically eliminate the others.

For equation 3 and 4, 6.5*2 and 12*x is already bigger than 8 of the first set of numbers.

For equation 1, 2*x+8.5 is also bigger than 8 from the first set.

Plugging in the values to equation 2, we always get the correct cost.

5 0
3 years ago
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Gnom [1K]

A

Step-by-step explanation:

8 0
4 years ago
A baker’s dozen (13) of cookies is on sale for $4.94. How much does each cookie cost?
Natalija [7]

Answer: $0.38

Worded explanation:

4.94 divided by 13 equals 0.38, making your answer $0.38

Unworded explanation:

4.94/13 = 0.38

$0.38

7 0
1 year ago
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The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest int
seraphim [82]

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

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Hence the lower bound of distance S is 150

8 0
3 years ago
cynthia besch wants to buy a rug for a room that is 14ft wide and 23 ft long. She wants to leave a uniform strip of floor around
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The room is 14w and 23 l

she can buy up to 190 sqft

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14 - 10 = 4
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so the answer is 10 ft wide and 19 ft long

Hope this helps


8 0
3 years ago
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