Prove:-

(tan x + sec x)2 = 2 sec^2x+2 tanx secx-1

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

using the identity

tan²x = sec²x - 1

consider the left side

(tanx + secx)² ← expand using FOIL

= tan²x + 2tanxsecx + sec²x

= sec²x - 1 + 2tanxsecx + sec²x ← collect like terms

= 2sec²x + 2tanxsecx - 1

= right side , thus proven


Related Questions

What is -5h-3(10+h)=-6

Answers

-5h-3(10+h) = -6

-5h-30-3h = -6

Add/subtract like terms

-8h -30 = -6

Add 30 to both sides

-8h = 24

Divide by -8 to isolate h

h = -3

help me , please &' tyy .

Answers

Answer:

h

Step-by-step explanation:

first plus both sides by b

then divide both sides by a

Answer:

option h is correct.

Step-by-step explanation:

i.e making y the subject of the equation.

Julia leans a 18-foot ladder against a wall so that it forms an angle of 68° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Answers

Answer:

The answer is 16.69

Working alone, Darryl can oil the lanes in a bowling alley in ten hours. Ming can oil the same lanes in eight hours. Find how long it would take them if they worked together. Round to the nearest tenth.
(Part 1 of asking for help)

Answers

Answer:

9.1

Step-by-step explanation:

If Darryl and Ming worked together they takes 4.4 hours to complete the work.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Working alone, Darryl can oil the lanes in a bowling alley in ten hours. Ming can oil the same lanes in eight hours.

Darryl can oil the lanes in a bowling alley in one hour = 1 /10

Ming can oil the same lanes in one hour = 1 / 8

The time it takes to work together,

1 / t = 1 / 10 + 1 / 8

1 / t = 10+8 / (10 × 8)

1/t = 9 / 40

t = 40/9

t = 4.4 hours

Thus, if Darryl and Ming worked together it takes 4.4 hours to complete the work.

Learn more about the equation here,

https://brainly.com/question/10413253

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Read the passage.

(1) Ask young people today if they know of anyone who has had smallpox, and they might ask, "What’s smallpox?” (2) That is because this disease was eradicated from the planet decades ago, thanks to vaccinations. (3) Despite the obvious effectiveness of vaccination, opponents of this procedure argue that humans are better off fighting diseases on their own without adding anything potentially harmful to their bodies. (4) Still, the American Academy of Pediatrics says that vaccines can be 99 percent effective, and the Centers for Disease Control claims that, over a 10-year period, vaccines allowed 322 million children to avoid illnesses. (5) So the next time someone tells you that vaccines are poisoned apples that will lead to a fate like Snow White’s, counter their argument with the facts. (6) The bottom line is that vaccines are safe to use and save lives.

How can the writer use understatement in this passage?

by changing the phrase “young people” to “most people” in sentence 1
by deleting the words obvious and potentially from sentence 3
by adding the phrase “so a few lives might be saved” to the end of sentence 4
by shortening the passage to only five sentences by removing sentence 5

Answers

Answer:

its C y'all

Step-by-step explanation:

Answer: C. by deleting “save lives” and adding the phrase “easy to administer” to the end of sentence 6

Explanation: Got it correct, Edu.23

write the quadratic equation in standard form: 8x-5=2x^2​

Answers

Answer:

Not sure if this is what you mean by quadratic equation in standard form, but here ya go buddy :D.

4plus or minus the square root of 26 all over 2

Step-by-step explanation:

8x-5=2x^2
2x^2-8x-5

which set of angle measures will not form a triangle?

Answers

A triangle has 180 degrees internal Max, so B would the the answer as it adds up to 190 degrees.
Good luck!

sum of triangle angles = 180°

=> B

54.5 + 47.5 + 88 = 190° => not a triangle

Find the product of (x + 3)(x − 3).

Answers

x² - 3² = x² - 9

(a+b) (a-b) = a² - b²

Answer:

See below.

Step-by-step explanation:

x*x=x²

x*-3=-3x

3*x=3x

3*-3=-9

x²-3x+3x-9

x²-9

-hope it helps

1. In Figure 5.9 below ABCD is a parallelogram with m(<ABC) = 43º. A line through A meets CD at E and m(<AED) = 68° Find . a. m(<ADE) b. m(< DAE) c. m(BCD). please the real answer​

Answers

Answer:

M<ADE=M<ABC =43°(PARALLELOGRAM DIAGONALLY EQUAL.

M<DAE=180°-43°-68°

=69°(THE SUM OF INTERNAL ANGLES OF THE TRIANGLE IS 180°.

M<BCD=180°-M<ABC=137°

Johnny was fishing on vacation, his fish weighed in at 3.2 kg, 4.4 kg, 5 kg, 2.7 kg and 7.1 kb. If his average for the 7
days was 5.7 kg, what did the last two fish weigh together?

Answers

Answer:

an answer give me 5 stars and ill tell you the right answer deal??

Step-by-step explanation:

use your brain its simple

give me 5 stars and ill tall you the right answer deal??

Answer:

7.8 kg and 9.8 kg

Step-by-step explanation:

Ramona deposits $2,500 into a savings account that pays 4.5% interest compounded annually. If Ramona makes no deposits or withdrawals, how much interest will her money earn after 3 years? Record your answer in the boxes. Then fill in the bubbles. Be sure to use the correct place value.

Answers

Answer: She will earn $352.92 as interest.

Step-by-step explanation:

Formula for compound interest[tex]= P((1+r)^t-1)[/tex]

, where P= principal value, r = rate of interest(in decimal) , t= time

As per given , we have

P = $2,500

r =  4.5% = 0.045

t= 3 years

then, Compound interest = [tex]2500((1+0.045)^3-1)=2500((1.045)^3-1)[/tex]

[tex]=2500(1.141166125-1)=2500(0.141166125)\\\\\approx\ \$352.92[/tex]

Hence, she will earn $352.92 as interest.

Find the measure of each
exterior angle of a regular
60-gon.

Answers

Answer:60 degrees

Step-by-step explanation:

Exterior angle =360/number of sides

Sides=6

⇒ Exterior angle=360/6

Exterior angle=60 degrees

I’ll add the questions they are 14 plz solve them I’ll mark u as u want


Plz plz I need them after 18 minutes

Answers

Step-by-step explanation:

3.3rd option

4.1st option

5.x=-10

6.x=6

7.109

8.75

9.24

10.19

please help this is urgent i will give brainliest ​

Answers

1. $26
2. $12.5
3. 20%
4. 120%
5. 30%
6. 39
7. 900
8. 60%
9. 30%
10. 39

hope this helped!!

whats at qauter of 30

Answers

Answer:

7.5

Step-by-step explanation:

1/4 of 30 =

30 divided by 4 = 7.5

7.5
1/4 of 30 is 7.5
30 divided by 4 = 7.5

Will anyone pls help me I’ve asked a couple times already!! Pls help I don’t understand. I need help with nine through sixteen if you can’t do all it’s okay but pls try I’m on my own when it comes to math my mom doesn’t understand my dad does but he has a hard time explaining how to do it and my school does not provide all the explanation I need so I really stuck! The instructions are to: on the blanks label the difference of two squares as D and the perfect square trinomial‘s as P factor each expression.

Answers

Hey there!

9) Answer: D. :---- (x +8)(x-8)

10) Answer: P. :------(x-2y)^2

11) Answer: D. :-----(2a+3b)*(2a-3b)

12) Answer: P. :-----(a+4b)^2

13) Answer: P. :-----(x-3)^2

14) Answer:. D. :----(5xy+9z)*(5xy-9z)

15) Answer: P. :-----(2a+1)^2

16)Answer: D. :---(4ab+5)*(4ab-5)

Please really need the correct answer for this or I'll fail algebra 3

Answers

Answer:

[tex]4\pi[/tex]

Step-by-step explanation:

S = Arc Lenth

θ = Radians

R = Radius

S = θR

So, now that we understand the formula, we will convert 72° into radians by introducing the equation [tex]x*\frac{\pi }{180}[/tex], x = 72

S =  [tex]72*\frac{\pi }{180} * R[/tex]

given that R = 10

S = [tex]\frac{72*10*\pi }{180}[/tex]

S = [tex]\frac{720*\pi }{180}[/tex]

We simplify 720 as 180 goes into 720 4 times and we get

S = [tex]4\pi[/tex]

Hope this helps

3x+6 and 2x+14 find value of x

Answers

Answer:

Step-by-step explanation:

3x+2x is 5x

6+14 is 20

5x+20  

if you are looking for this answer

x=4

divide 5 by 5x and 20 by 5

HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!!

Answers

Answer:

8

Step-by-step explanation:

32 is equivalent to 32/1. So you can treat this as 1/4 x 32/1. Then, multiply the numerators together and then the denominators together. You will get 32/4. Simplified, this is equal to 8.

In slope-intercept form, what is the equation of the line parallel to y = 3x + 5 that passes through the point (6, 2)?

Answers

y = 3x + 20
Graph the point, then use the same slope in y = 3x + 5 to make a line, then find the y intercept. and boom you have your answer

Answer:b

Step-by-step explanation:

PLEASE HELP ASAP I WILL MARK BRAINLIEST AND GIVE 20 POINTS LOOK AT THE PICTURE HELPPP!!!!!
Maria is trying to estimate 30. She uses this table of values

What should she do next to find 30 to the nearest hundredth?

A. She should find the squares of numbers between 5.5 and 5.6.

B. She should estimate that 30 is 5.50.

C. She should find the squares of numbers between 5.4 and 5.5.

D. She should find the average of 5.4 and 5.5.

Answers

I think the answer is c)

The correct answer for the given question is C. She should find the squares of numbers between 5.4 and 5.5.

What is square of a number?

Square of a number is the product of integer with itself.

Now it is given that Maria is trying to estimate 30.

To find the value of 30 let us take the root of 30.

So, √30 = 5.4772

Since 7 to the right of 7 is greater than 5

Round to the nearest hundredth,

√30 = 5.48

Hence, 5.48 is the nearest square of 30.

From the table we see that the nearest digit to the 30 is 5.4² and 5.5²

The value of 5.4² given in the table is 29.2.

and the value of 5.5² given in the table is 30.3.

Hence,she should do next to find 30 to the nearest hundredth is to  find the squares of numbers between 5.4 and 5.5.

Therefore,The correct answer is C. She should find the squares of numbers between 5.4 and 5.5.

More about square of number :

https://brainly.com/question/8610164

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Find the linear function with the following properties.
f(-4) = 7
f(-8) = -4

Answers

Answer:

[tex]\mathsf{ y=\dfrac{11}{4}x+18}[/tex]

Step-by-step explanation:

[tex]\mathsf{(x_1,y_1)=(-4,7)}[/tex]

[tex]\mathsf{(x_2,y_2)=(-8,-4)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-7}{-8+4}=\dfrac{11}{4}}[/tex]

[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{\implies y-7=\dfrac{11}{4}(x+4)}[/tex]

[tex]\mathsf{\implies y=\dfrac{11}{4}x+18}[/tex]


Apples picked from an orchard are put into 5 sacks and are loaded into a small
truck. If each sack contains 76 apples, how many apples are there in all?

Answers

There are now 380 apples
This is because 76(number of apples in one sack) x 5 (number of sacks)=380

help pls first correct answer gets brainleist ​

Answers

Let the number we are looking for be x. So 3+4+7+2x=30
2x=16
x=8

Hope that helps :3

Help me. The topic is Maths, please.

Answers

Answer:

7

3

Step-by-step explanation:

First Solution

X=7

4= 12

Making X Subject of the formula

we have,

X= 7×4 = 28 = 14 = 7

12 12 6 3

OR

You cross multiply

X multiplies 12= 12X

7 multiplies 4= 28

you now have 12X=28

divinding both sides by 12,

12 cancels 12 and leave X

Answer:

x = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{4}[/tex] = [tex]\frac{7}{12}[/tex] ( cross- multiply )

12x = 28 ( divide both sides by 12 )

x = [tex]\frac{28}{12}[/tex] = [tex]\frac{7}{3}[/tex] ← in simplest form

find x: 3x-14+6-4-2x=12

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Question 1 (1 point) A locksmith charges $25 to make a house call and $15 for each lock re-keyed. Another locksmith charges $10 to make a house call and $20 for each lock that is re-keyed. Write a system of equations and use them to determine the number of locks where the total cost is the same. What will be the total cost? (Hint: write 2 equations of the form y = mx + b)​

Answers

Answer:

The number of locks will be 3

The total cost = $50

Step-by-step explanation:

We are trying to write the equations of the cost in the form of the equation of a straight line

The equation will be;

C = F + 15r

where F is the price for house lock , C is total cost and r is the amount per rekey

For the first locksmith;

His equation will be ;

C = 25 + 15r

For the second

C = 10 + 20r

If the total cost is the same for both;

then;

10 + 20r = 25 + 15r

20r - 15r = 25 - 10

5r = 15

r = 15/5 = 3

For the total cost to be same, number of locks is 3

The total cost will be ;

C = 20 + 10(3) = 20 + 30 = $50

Describe the location of the sum, relative to p, on a number line p - 3

Answers

Answer:

On the number line, p would be to the left of 2/3. The sum of p and 2/3 equals 0.

i also need relationship and property for y

Answers

Answer:

i6ttttttttttttttttttttttt

Step-by-step explanation:

(1. Yolanda pumped 6 gallons of water into her pool each minute for 42 minutes. What was the total change in the amount of water in the pool?

(2 Dante removed 27 fish from his pond over 9 days. He removed the same number of fish each day. What was the change in the number of fish in the pond each day?

Answers

Answer:

1) 252     2) 3

Step-by-step explanation:

1)    6 * 42 = 252

2) 27 ÷ 9 = 3

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