4(x-2) =2(x+5)<br> -----------------------------<br> 6 6

(cos x - (sqrt 2)/2)(sec x -1)=0

Darya [45]

$(\cos x-\frac{\sqrt{2}}{2})(\sec x-1)$ =0 [/tex]

$=(\cos x-\frac{1}{\sqrt{2}})(\sec x-1)$ =0 [/tex]

$\frac{(\sqrt{2}\cos x-1)}{\sqrt{2}}(\frac{1}{\cos x\ }-1)=0$

(Reciprocal Identity)

$(\frac{^{\sqrt{2}\\cos x-1}}{^{\sqrt{2}}})(\frac{1-\cos x}{\cos x})=0$

$\frac{^{(\sqrt{2}\cos x-1})}{\sqrt{2}}\frac{(1-\cos x)}{\cos x}=0$

$(\sqrt{2}\cos x-1}){(1-\cos x)}=0$ (ZeroProduct Property)

$\sqrt{2}\cos x-1=0$

$\sqrt{2}\cos x=1$

$\cos x=\frac{1}{\sqrt{2}}$

$x=\frac{\Pi }{4}$

and

$1-\cos x=0$

$\cos x=1$

$x=0$

x=0 and x= $\frac{\Pi }{4}$ are the solutions.

6 0

4 years ago

Read 2 more answers

Which set of transformations can you use to check whether two polygons are congruent?. . . . . A.translations, stretches, and di

weeeeeb [17]

Translations, reflections, and rotations is the set of transformations you can use to check whether two polygons are congruent.

<span>

Reflection is flipping an object across a line without changing its size or shape.
Rotation is rotating an object about a fixed point without changing its size or shape.
Translation is sliding a figure in any direction without changing its size, shape or orientation.</span>

The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

5 0

3 years ago

Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take

Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased $1\frac{1}{2}$ degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

$1\frac{1}{2}=\frac{3}{2}$

Now we will divide total temperature change (9) by average daily temperature change ( $\frac{3}{2}$ ) to find number of days.

$9\div\frac{3}{2}$

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

$9\cdot\frac{2}{3}$

$3\cdot2=6$

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0

3 years ago

Determine whether you can construct many, one, or no triangle(s) with each description.

garik1379 [7]

Answer:

1: Many Triangles

2: No Triangles

3: One Triangle

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Solve 2 2/7 - 1 1/3 =

anygoal [31]

First, convert to improper fractions, which are easier to use for us:

16/7-4/3

Convert to a common denominator of 21:

48/21-28/21

Finally, subtract to get:
20/21

5 0

4 years ago

4(x-2) =2(x+5) ----------------------------- 6 6