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irinina [24]
3 years ago
10

Solve cos^2x + 2cosx + 1 = 0 for x over the interval [0, 2pi ). Can someone please give me a step by step answer. I don't unders

tand at all.
Mathematics
1 answer:
anygoal [31]3 years ago
6 0
Cos²x+2cos x+1=0

We have to do a change of variable.

cos x=t

Then, we have the next square equation.

t²+2t+1=0


We solve this square equation:

t=[-2⁺₋√(4-4)]/2=-1
 if cos x=t  then we have that:

cos x=-1
x=cos⁻¹ -1= π radians    or    180º.

Answer: x=π  (in radians)  or    x=180º   (in degrees). 

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Step-by-step explanation:

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The Newtown Telephone Company advertises that if you use their​ 10-10 service, you will always pay only 9c per​ minute, no matte
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Answer:

y = 9x cents

y = (36 + 3x) cents

Step-by-step explanation:

Given that:

Newtown telephone company :

Fee per minute = 9c

Tyrus company :

Fee per minute = 3c

Connection fee = 36c

Cost equation :

y = total cost for each phone call:

x = minutes phone call last ;

Newton Company :

y = (fee per minute * minute phone call last)

y = 9 * x

y = 9x cents

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y = (connection fee + (fee per minute * minute phone call last))

y = (36 + (3 * x))

y = (36 + 3x) cents

8 0
3 years ago
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
liubo4ka [24]

Answer:

AC = 25

Step-by-step explanation:

Since B is on the segment AC, then

AC = AB + BC, substitute values

5x = 2x +10 + x , that is

5x = 3x + 10 ( subtract 3x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

AC = 5x = 5(5) = 25

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3 years ago
The price of a
kow [346]

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4.7619% increase

Step-by-step explanation:

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Which choice represents the fraction below as a single exponential expression?
Zanzabum

Answer:

8^-12

Step-by-step explanation:

Simplify the following:

8^4/8^16

Combine powers. 8^4/8^16 = 8^(4 - 16):

8^(4 - 16)

4 - 16 = -(16 - 4):

8^(-(16 - 4))

| 1 | 6

- | | 4

| 1 | 2:

8^(-12)

8^12 = (8^6)^2 = ((8^3)^2)^2 = ((8×8^2)^2)^2:

1/((8×8^2)^2)^2

8^2 = 64:

1/((8×64)^2)^2

8×64 = 512:

1/(512^2)^2

| | | 5 | 1 | 2

× | | | 5 | 1 | 2

| | 1 | 0 | 2 | 4

| | 5 | 1 | 2 | 0

2 | 5 | 6 | 0 | 0 | 0

2 | 6 | 2 | 1 | 4 | 4:

1/262144^2

| | | | | 2 | 6 | 2 | 1 | 4 | 4

× | | | | | 2 | 6 | 2 | 1 | 4 | 4

| | | | 1 | 0 | 4 | 8 | 5 | 7 | 6

| | | 1 | 0 | 4 | 8 | 5 | 7 | 6 | 0

| | | 2 | 6 | 2 | 1 | 4 | 4 | 0 | 0

| | 5 | 2 | 4 | 2 | 8 | 8 | 0 | 0 | 0

1 | 5 | 7 | 2 | 8 | 6 | 4 | 0 | 0 | 0 | 0

5 | 2 | 4 | 2 | 8 | 8 | 0 | 0 | 0 | 0 | 0

6 | 8 | 7 | 1 | 9 | 4 | 7 | 6 | 7 | 3 | 6:

Answer: 1/68719476736 = 8^-12

6 0
3 years ago
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