2cos^2x+sinx=2 domain restriction 0,2pi

Answers

Answer 1

Answer: $2\cos ^( 2 ){ x } +\sin { x } =2\n \n 2\left( 1-\sin ^( 2 ){ x } \right) +\sin { x } =2\n \n 2-2\sin ^( 2 ){ x } +\sin { x } =2$

$\n \n 2\sin ^( 2 ){ x } -\sin { x } +2-2=0\n \n 2\sin ^( 2 ){ x } -\sin { x } =0\n \n \sin { x } \left( 2\sin { x } -1 \right) =0$

$\therefore \quad \sin { x } =0\n \n \therefore \quad x=0,\quad \pi ,\quad 2\pi$

$\therefore \quad 2\sin { x } -1=0\n \n 2\sin { x } =1\n \n \sin { x } =\frac { 1 }{ 2 } \n \n \therefore \quad x=\frac { \pi }{ 6 } ,\quad \frac { 5\pi }{ 6 }$

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Ming-Li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstore. She now has $18 left. How much money did Ming-Li have to begin with?

Answers

$21 I believe (it's 1 am where I am so I'm not 100% sure but I think it's correct)

You travel 12 miles north and then 5 miles west from your home. How far are you from home?

Answers

Answer:

Step-by-step explanation:

12 * 12 = 144

5 * 5 = 25

144 + 25 = 169

√169 = 13

Explain how to use the combine place values strategy to find 223-119

Answers

Answer: 223 - 119 = 104

Step-by-step explanation:

For subtracting 223-119,we will write this as

H T O

2 2 3

- 1 1 9

Noe start from the right we can't subtract 9 from 3 so combine tens and ones places so that 23-19=04(should remember to place 0 before 4), after that we can simply solve the hundred to get the final answer.

H T O

2 2 3

- 1 1 9

1 0 4

So 104 is the answer.

So, the subtraction looks like this:

   223
-119
_______

The reason why combining place values here is necessary is that 3 is less than 9 (so I can't just substract in the one's place without going to negative numbers)

so we combine the ones and tens places and substract the whole: 23-19 is four!
   223
-119
_______
   04

and then we continue
   223
-119
_______
    204

and that's the result!

A chair that cost $210 was reduced by 40% for a one day sale after the sale, the sale price was increased by 40% what is the price of the chairEnter

Answers

The price of the chair afterwards was $176.40. You take $210 and multiply it by .40 and get $84. Then you subtract it from 210 and get 126. Then take 126 multiply it by .40 and get $50.40 then you add it back to the $126 and get $176.40

The best way to find percent is to use proportion. After using proportion your answer would probably be 84$. Remember the percent always goes over 100. so u would put 40 over 100 and 210 under n which is the part you don't know.

Help me and fast! And please show work!

Answers

Answer:

171

Step-by-step explanation:

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THATS ON DOENjsjajajajajaakkaakk

After applying the distributive property on both sides of the equation, what is the next step?Solve -2(7 - 3x) = 4(-3x + 3)

A) Multiplication property of equality

B) Variables on both sides

C) Division property of equality

D) Combine like terms on the left side of the equation

Answers

Answer:

B) Variables on both sides

Step-by-step explanation:

Solving a Linear Equation

Some basic steps are needed to solve a linear equation. We must operate every multiplication or division by applying the correspondent distributive property. Then we must separate variables from constants, then we must collect like terms, and finally, we must isolate the variable by using the division property of equality.

In the example provided in the question, we have

Solve -2(7 - 3x) = 4(-3x + 3)

We apply the distributive property on both sides of the equation:

-14 + 6x = -12x + 12

Now we must see where are the variables in both sides of the equation and prepare to have them all in one side (usually the left side)

Answer: B) Variables on both sides

Note: The option doesn't clearly state what are we going to do with the variables on both sides, I assumed to observe and prepare the variables for the next step

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