can someone PLEASE help me solve this equation ? due soon

Can Someone PLEASE Help Me Solve This Equation ? Due Soon

Answers

Answer 1

[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]

We know that : (a - b)(a + b) = a² - b²

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]

We know that : 1 - sin²x = cos²x

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]

[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]

[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]

We know that : sec²x = 1 + tan²x

[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]

[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]

[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]

[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]


Related Questions

if f(x) =g(x) + 10 and g(x) = 3(x) - 18

Answers

Step-by-step explanation:

This is called a nested function. Remember, math is a language.

We define a function where x is whatever we want it to be, f(x) = g(x) +10

but we have yet another function inside and itvs defined as g(x) = 3x - 18

if we were to write it out, it woukd be

f(x) = (3x - 18) + 10

1. 45 is what percent of 82?
2. What percent of 5 is 26?
3. 22% of what number is 84?
Answer This Question In A Row.

Answers

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

84 is 22% of 381.8.

A. John wants to find the average time it takes students to run a lap around the track. He will consider 24 students to find the average time. Which unit(s) could be used for the unit of measurement?
1. Pounds
2. Seconds
3. Ounces
4. Minutes
5. Grams

B. Which of the procedures below would be the best way to find the average time?
1. Ask for 24 volunteers to run a lap around the track and have them state their own times.
2. Measure the times of 24 volunteers who run a lap around the track.
3. Randomly pick 24 students to run a lap around the track and measure their times.
4. Randomly pick 24 students to run a lap around the track and have them state their own times. ​

Answers

Answer:

A) 2. Seconds

4. Minutes

B) 2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Step-by-step explanation:

A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.

B. Which of the procedures below would be the best way to find the average time?

2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

50% of the trees are fruit trees .this means that?

Answers

Answer:

Half of the trees are not fruit trees

Answer:

It means that half of the trees are fruits while the other half sprouts vegetables.

Step-by-step explanation:

100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)

Name the property : (-1/2) x [(-3/4) + 4/7] = (-1/2) x (-3/5) + (-1/2) x (4/7) ​

answer fast

Answers

Answer:

this is a DISTRIBUTIVE property

each exterior of a regular polygon is 30 degree find the sum of interior angles of the polygon​

Answers

Step 1: 360÷30(exterior angle)= 12 sides

Step 2: (12-2)×180= 1800 (sum of the interior angles of the polygon)

Test: 1800÷ 12 sides= 150 ( 1 interior angle)

Help please asp. !!!

Answers

Answer:

16.8 [tex]m^{3}[/tex]

Step-by-step explanation:

Find your answer by using the formula of a cone (v= [tex]\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h)

r= 2 (half of your diameter, which is 4)

h= 4

By inserting your radius and height, you get v= [tex]\frac{1}{3}[/tex]π([tex]2^{2}[/tex])4.

Put that into a calculator and you get 16.75516, which rounds to 16.8.

If bc= 12 and cd is 5 then bd =

Answers

Answer:

bd would also equal 5 i love math

Step-by-step explanation:

Answer:

There's no diagram.

I guess You forgot to send.

I'll guess its a quadrilateral.

Draw out a little quadrilateral...eg a rectangle

Label your points.

From the labelling ... Distance BD is now the diagonal of the rectangle.

Using Pythagorean theorem to get it...

BD = √12²+5²

BD=13.

Solve for x. Round to the nearest tenth of
a degree, if necessary.

Answers

Answer:

x = 60.6

Step-by-step explanation:

tan x = opp/adj

tan x = 3.9/2.2

x = tan^-1 3.9/2.2

x = 60.6

which expression represents these words?

8 more than the quotient of 32 and 4

A. (32-4)+8

B. 32÷4-8

C. (32-4)-8

D. 32÷4+8

Answers

Answer:

(32 ÷4) +8

Step-by-step explanation:

More than means it comes after

quotient of 32 and 4

32÷ 4

8 more than

(32 ÷4) +8

Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Edge Landscaping:

[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]

The rates (m) of the above table is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have the following points

[tex](x_1,y_1) = (1.5,26)[/tex]

[tex](x_1,y_1) = (4.5,62)[/tex]

So, the rate is:

[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]

[tex]m = \frac{36}{3.0}[/tex]

[tex]m = 12.0[/tex]

This means that the rate of edge landscaping is $12.0 per hour

The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;

A linear equation is of the form:

[tex]y = mx + b[/tex]

Where:

[tex]m \to slope\ or\ rates[/tex]

In other words, if the equation is:

[tex]y = 20x + 5[/tex]

Then the rate is: 20 ($20/hour)

If the equation is: [tex]y = 10x + 5[/tex]

Then the rate is 10 ($10/hr)

Next, is to compare the rates;

For Edge landscaping, we have:

[tex]m = 12.0[/tex]

For Gatewood, we have:

[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]

Compare the rates:

[tex]12 > 10[/tex]

Hence, Edge landscaping has a greater hourly rate

If RT is 10 centimeters long, what is ST?

Answers

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

Which equation can be used to solve for c?

Answers

Please provide more information on this question.

How to find the angle ? Help pls

Answers

Answer:

I got :

Angle theta = 7.1° (approximately)

Step-by-step explanation:

see attached photo

Step-by-step explanation:

The angle of an equilateral triangle is 180°, and its three internal angles are equal, all being 60°.

use the substitution method to solve the system of equations. enter your answer as an ordered pair.AP3X
4(x+4)=8(y+2)

18y-22=3x+2


a.(12,6)

b.(4,2)

c.(8,10)

d.(4,8)

e.(6,1/2)

Answers

Answer:

b. x=4 and y= 2

...........

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

Find x if x-log 48 + 3 log 2 = 1/3log125 - log3

Answers

Answer:

Step-by-step explanation:

x−log(48)+3(log(2))=

1

3

(log(125))−log(3)

Simplifies to:

x−0.778151=0.221849

Let's solve your equation step-by-step.

x−0.778151=0.221849

Step 1: Add 0.778151 to both sides.

x−0.778151+0.778151=0.221849+0.778151

x=1

Answer:

x=1

 

A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x x .] Simplify your formula as much as possible.

Answers

Answer:

S(x)  =  x²  +  390224/x

Step-by-step explanation:

Volume of the open box  =   V  = 97556 cm³

Material needed:

Let´s call x the side of the square base then  the  area of the base is

A(b) = x²

For the sides of the box, we have 4 sides each one with area of x*h

where h is the height of the box

The volume of the box    V(b) = 97556 = x²*h   then    h  =  97556/x²

S(x,h) = x²  +  4*x*h*

The surface area of the box as function of x is:

S(x)  =  x²  + 4*x*97556/x²

S(x)  =  x²  +  390224/x

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
6
4
B
х
.
O x-4
O x-2

Answers

Answer:

Step-by-step explanation:

x+2

A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The polynomial function f(x) graphed on the coordinate plane below.

Now, We have;

The vertex of the function is,

⇒ x = - 2

⇒ x + 2

Thus, A factor of the polynomial function f(x) graphed on the coordinate plane below is,

⇒ x + 2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Solve x2+y3 = 1 for x.

Answers

Answer:

x = 3 + 2y

Step-by-step explanation:

x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )

x = 3 + 2y

Step-by-step explanation:

Step 1: Add -y^3 to both sides.

y3+x2+−y3=1+−y3

x2=−y3+1

Step 2: Take square root.

x=√−y3+1 or x=−√−y3+1

Answer:

x=√−y3+1  or  x=−√−y3+1

(I think this is right) (tell me if im right plz and thx)

Witch number line and expression show how to find the distance from 4 to - 1?

Answers

Answer:

I would tell you but you do not have a picture

Please help!!!! Anyone!!

Answers

9514 1404 393

Answer:

  g(x) = |x -7|

Step-by-step explanation:

The form given for your answer has parameters 'a', 'h', and 'k'. The parameter 'a' is the vertical scale factor. Since g(x) is a translation only, that factor is 1. The parameters (h, k) identify the translation (right, up). The translation is 7 units right and 0 units up, so (h, k) = (7, 0).

Filling in these values of the parameters, your g(x) is ...

  g(x) = |x -7|

A circle has an area 20 cm2. It is enlarged three times. What is the area of the enlarged circle?

Answers

Answer:

A = 60 cm²

Step-by-step explanation:

Given that,

The area of a circle, A = 20 cm²

It is enlarged 3 times.

We need to find the area of the enlarged circle.

Area of the enlarged circle,

A = 20×3

= 60 cm²

So, the area of the enlarged circle is equal to 60 cm².

Find the value of x . PLEASE ANSWER QUICK ILL MARK BRAINLIEST

Answers

Answer:

x= 55

Step-by-step explanation:

Answer:

x is 55 degrees

Step-by-step explanation:

since it is a right angle set up the equation

20+x+15=90

then solve to get 55

It takes Miguel 18 minutes to finish reading 4 pages of a book. How long does it take him to finish reading 30 pages

Answers

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

it should be 135 minutes, cuz you get 4.5 with 18 and 4

Which of the following points lies on the graph of the function y = 3 Superscript x?
a. (1, 0)
c. (3, 1)
b. (2, 9)
d. (0, 3)



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

Solve 3|x - 61 = 12.

Answers

Last option
-2 is ur answer

is y=2x an inverse variation

Answers

Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

y=2x is a direct variation. For example, doubling the value of x will double the value of y.

Therefore, it is not an inverse variation.

Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?​

Answers

Going 315 km uses up 35 liters of gasoline

On average, 1 liter of gasoline can travel the number of kilometers:

315 : 35 = 9 liters of gasoline

How to solve this problem

Answers

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°

Other Questions
What is the output of the following code:list1 = [ 'cyber', 786 , 2.23, 'square', 70.2 ]print (list1[1] ) Find the measure of AB.A. 4B. 7C. 10D. 5 What role did women fill in Roman society?Women participated in politics and government.Women were responsible for household matters.Women were responsible for managing family property.Women participated in the running of family businesses. Gavin was thinking of a number. Gavin doubles it and adds 6.6 to get an answer of 9. Form an equation with xfrom the information. Find out what the contractile vacuole in a Paramecium does and whycan someone help me please? Find the lcm of 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2 What type of adaptation does seaweed have that allows it to survive and grow in underwater environments? Learned behavior Inherited behavior Physical characteristic Life cycle difference Place the code in the correct order. Assume the indenting will be correct in the program.Third partSecond partFirst partA. class car:model = "year = 0B. :: myCar = car()C. :: myCar.model = 'Thunderbird' please help me urgentthis is the first chapter Adverbs always end in ly.TRUEFALSE I will give u brainliest and 5 star and thanks if its correct A line goes through the points (1, -19), (-4,1), (0, -15), (2, -23). What is the slope and y-intercept of the line Prob and stats question help The impact of urbanization on rural Vietnam Which BEST describes how the genetic color variation within the beetle population helps them to survive? A. The color variation helps them to locate food B. The color variation helps them avoid predators C. The color variation helps them compete for resources D. The color variation helps them find mates for reproduction Ironic things? Please thanks Help ASAP ! Find PN triangle proportionality A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?-14-9There is no way to tell-5 Which hydrocarbon is saturated?A) heptyneB) butaneC) propeneD) ethyne Find the 7th term in thesequence.-1, 2, -4, 8,...Hint: Write a formula to help you.1st term . Common Ratio desired term 1)Remember to use the correct Order of Operations!Enter