All categories

3 years ago

What are the solutions for the equation 2cos0+1=0 ?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

2cos0=-1

cos0=-1/2

proved

You might be interested in

Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Percent change is the difference in numbers divided by initial number converted to percent value.

Percent increase:

(70 - 50)/50*100% = 40%

Percent decrease:

(70 - 50)/70*100% = 28.57%

Compare:

40% ≠ 28.57%

4 0

2 years ago

Read 2 more answers

et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

$\lvert 2x-3 \rvert =12-x$

$2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)$

$3x=15\,\,\text{or}\,\,\x=-9$

Then, the solutions of the equation are $x=5, x=-9$ .

Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

$5a-3+\lvert a+4 \rvert =4a+9$

$\lvert a+4\rvert =4a+9-5a+3$

$a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)$

$2a=8\,\,\text{or}\,\,4=12$

So, the unique solution of this last equation is $a=4$

The last equation is $h(x-1)=x-3$ , where $h(x)=\lvert x \rvert -2x+5.$ . To solve this equation we can proceed as follows:

$h(x-1)=x-3$

$\lvert x-1\rvert -2(x-1)+5=x-3$

$\lvert x-1 \rvert -2x+2+5=x-3$

$\lvert x-1\rvert =3x-10$

$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0

3 years ago

Solve for x: 5x + 4z = 10z - 2x

Digiron [165]

Answer:

x= 6/7z

Step-by-step explanation:

5x + 4z = 10z - 2x

5x + 2x = 10z - 4z

7x = 6z

x = 6/7z

5 0

3 years ago

Read 2 more answers

Please help me .............

borishaifa [10]

Answer:

The first one.

Step-by-step explanation:

For something to be considered to be a graph, every x value must have 1 y value. It does not matter if y values are the same, but you MUST make sure there is ONLY ONE of each value. So for example the second one wouldn't be a function because -5 appears twice for the x values, but with different y values. This would mean when graphed, it would fail the vertical line test (if you put a vertical line anywhere on the graph you will only get one point).

8 0

3 years ago

Read 2 more answers

Four more than the quotient of a number and 5 is equal to 9

sweet-ann [11.9K]

Answer:

x=25

Step-by-step explanation:

x/5+4=9

x/5=9-4

x/5=5

x=5*5

x=25

4 0

3 years ago