Factor and simplify
sec⁴x-tan⁴x÷sec²x + tan²
X
Verify the identity​

Answers

Answer 1

Answer:

1

Step-by-step explanation:

sec⁴x-tan⁴x÷sec²x + tan²X

= sec⁴x-tan⁴x/sec²x + tan²X

= (sec²x)²-(tan²x)²/sec²x + tan²X

Using the difference of two square

a² - b² = (a+b)(a-b)

(sec²x)²-(tan²x)² = (sec²x + tan²X)(sec²x - tan²X)

= (sec²x)²-(tan²x)²/sec²x + tan²X

= (sec²x + tan²X)(sec²x - tan²X)/sec²x + tan²X

= sec²x - tan²X

Also sec²X = 1 + tan²X

Substitute

=  1 + tan²X- tan²X

= 1

Hence the value of the expression is 1


Related Questions

PLEASE HELP!!!!

angle A is complementary to angle B . The measure of angle A is(2x+5)^ The measure of angle B is twice the measure of angle A . Part A Write an equation that can be used to determine the value of . Enter the correct answer in the box

Answers

Answer:

angle A =90- angle B

angle A=(2x+5)

angle B =2x(let the angle A be x)

(2x+5)=90-2x

2x+5=90-2x

4x+5=90

4x=90-5

4x=85

x=85/4=21.25

angle A=2(21.25)+5=42.5+5=47.5

angle B =2(21.25)=42.5

Victoria opens a saving account with $200. She earns 1.6% interest. How much will she have after 4 years?

Answers

Answer:

i think it is 212.8

Step-by-step explanation:

Answer: it’s 212.8

Step-by-step explanation:

Select all the expressions that are equivalent to 15 – 5x.
–5(x – 3)
3(5 – x)
–5(3 – x)
–3(–5 + 2x) + x
5(3 – x)'

Answers

1)-5(x-3)= -5x+15
2) 3(5-x)= 15-3x
3) -5(3-x)= -15+5x
4)-3(-5+2x)+x=-5x+15
5)5(3-x)= 15-5x
Your answer would be 5) 5(3-x).

Answer:

-3(-5+2x)+x

Step-by-step explanation:

First you have to use Distributive Property and multiply -5 and 2x by -3. you should have -6x+15+x. then you have to combine like terms but subtract -6x and x which gives us 5. your answer should be -5x+15.  You can rearrange the answer to be 15 - 5x.

will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?

Answers

Answer:

A: His raise was $23.8

B: He is making $1213.8

Step-by-step explanation:

Do 1190 divided by 100 and your answer will be

11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8

a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.

Will receive a 2% increase in pay, He was making $1,190/biweekly.

a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).

b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.

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11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80​

Answers

Answer:

[tex]A). \: \$31,411.80[/tex]

Step-by-step explanation:

[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]

Answer:A

Step-by-step explanation:

57/4 × 1/6 = 57/24 =

Answers

57/24 = 19/8 (divide numerator and denominator by 3)

Hope this helps.

Q) 57/4 × 1/6 = 57/24 = ?

→ 57/4 × 1/6

→ 57/24 = 19/8

Therefore the final answer is,

→ 57/4 × 1/6 = 57/24 = 19/8

Financial algebra: Karen wants to make a deposit of $500 each week into an account that earns %5 interest compounded weekly(52 weeks/year). How much money will be in the account at the end of 1 year?
How much money in interest will be the account earned at the end of the year?

Answers

Te get this answer u must do 9282938+(-847372837)=(-63827884) is ur answer I took the test

a number x is greater than 7 graph line

Answers

I graphed this line below.

Start with an open dot on 7.

The reason we use an open dot is because x

does not equal 7, it is only greater than 7.

So from your open dot, draw an arrow to the right

to represent all numbers greater than 7.

Finally, state your answer in set notation if possible.

It is read as {x: x > 7}.

How do you graph x>12

Answers

Answer:

socratic

Step-by-step explanation:

just use the app

Multiply and simplify. (4x−7)(x+5)

What is the answer?
Question 3 options:
5x−2
5x2+13x−35
4x2+13x−35
4x2+27x+35

Answers

Answer:

C) 4x^2 + 13x - 35

Step-by-step explanation:

(4x-7)(x+5)

4x × x + 4x × 5 - 7x - 7 × 5

4x^2 + 20x - 7x - 35

4x^2 + 13x - 35

Find area of the triangle ABC with angle A = 71.273 degree, length b = 12.6 and length


C= 12.8. Write your answer round to the nearest tenths.

Answers

Answer:

im not sure if this is right or not but you can try it if you want

Step-by-step explanation:

A. 75.8 square units B. 76.4 square units C. 76.8 square units D. 79.4 square units

Plz help me with math I am bad at it plzz

Answers

i’m pretty sure it’s either b or d but i’m leaning towards b

Answer:

c im pretty sure because im good at this

In AGHI, the measure of ZI=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of
ZG to the nearest tenth of a degree.

Answers

Answer: 8.3

Step-by-step explanation:

I need help on this for real

Answers

Answer:

x < 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Gang ima just take them points tbh

Step-by-step explanation:

HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.

Answers

If the circumference is 24 then the diameter in inches 75.398 and in centimeters is 191.51

if i buy 4m of cloth at N1.75 per m how much change shall I receive out of N10.00

Answers

Answer:

$3

Step-by-step explanation:

4 x 1.75 = $7

$10 - $7 =

$3

Hope that helps!

The amount of change you will receive after buying the cloth is N3.00.

What is function? Differentiate between equation and expression?  function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that you bought 4m of cloth at N1.75 per meter.

The amount of change you will receive after buying the cloth is -

N10 - N(1.75 x 4)

N{10 - 1.75 x 4}

N{10 - 7}

N3.00

Therefore, the amount of change you will receive after buying the cloth is N3.00.

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help pls the question is in screen shot below

Answers

Answer:

15 liters

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

24/9=2.66666-Its a repeating decimal

2.666666...(40)=106.66666......

That is about 107 liters

<3 Good Luck

What is the circumference of a circle with a radius of 14? Use 3.14 for Pi.

Answers

Answer:

87.92cm

Step-by-step explanation:

C=2pir

= 2×3.14×14

=87.92cm

Answer:

87.96

Step-by-step explanation:

C = 2πr

C = 2(3.14)14

C = 6.28(14)

C = 87.96

Convert the equation to vertex form.
y = x2 – 8x + 10

Answers

Answer:

Step-by-step explanation:

y = (x² - 8x) + 10

Complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = (x²-8x + 4²) - 4² + 10

y = (x-4)² - 6

Answer:

y = (x - 4)² - 6

Step-by-step explanation:

use the 'completing the square' method:

x² - 8x + 10 = 0

x² - 8x + 16 = -10 + 16

(x - 4)² = 6

y = (x - 4)² - 6

You roll a die 8 times. What is the probability of rolling EXACTLY six fours?

Answers

Answer:

it should be did the math 1/5

I believe it is 1/5 please let me know if I’m right

What is -1 - 9
Solve for 2x-4y =20
X=4

Answers

Answer:

So -1-9= -10

And if x =4 then 2(4)-4y=20

Y= -3

Step-by-step explanation:

2(4)-4y=20

8-4y=20

-4y=12

y=-3

Answer:

-1 - 9 = -10 &

y = -3

Step-by-step explanation:

2x - 4y = 20

2(4) - 4y = 20

8 - 4y = 20

-4y = 12

y = -3

good luck, i hope this helps :)

Use equivalent ratios to complete each table. Fill in the blanks

Tables: 8 _ 16 _ _
Chairs: 32 16 _ _ _

Answers

Answer:

Step-by-step explanation:

8 4 16 ? ?

32 16 64 ? ?

i dont know the last two but here

1+1+2+8+10-36-36%12845+86%29?​

Answers

Umm so I’m thinking -12,470, but in scientific notation it is -1.247 x 10^4
1+1+2+8+10-36-36%12845+86%29?

The answer is -22



On a family vacation, Melissa's family drove 480 miles from Cincinnati,

Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her

mom drove 65% of the distance her dad drove. If her brother drove the

remaining miles, about how many miles did her mom, dad, and brother

each drive

Answers

Answer:Melissa's  mom, dad, and brother  each drove 312miles, 168miles and 0 miles respectively

Step-by-step explanation:

If Mellisa's dad drove 35% of the way

and Melissa's mum drove 65% of the way,

Then

Melissa's brother did not drive at all because

Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles

Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles

her mom, dad, and brother  each drove 312miles, 168miles and 0 miles respe ctively

58 + 18 =
78-58=
335+415

Answers

Answer:

78

20

750

Step-by-step explanation:

Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х

Answers

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

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Which is the way to express 10+12 as the product of the GCF and another sum?

Answers

Answer:

The answer is pretty simple it's 12+10

Step-by-step explanation:

7 (w+13)= 35 what the value of w

Answers

Answer:

w=-8

Step-by-step explanation:

take both sides and divide by 7

(w+13)=5

subtract both sides by 13

w=-8

7(w+13)=35

distribute
7w+91=35

subtract 91 from both sides
7w=-56

divide both sides by 7
w=-8

what fraction is equivalent to -1.25

Answers

Answer:

-5/4

Step-by-step explanation:

because 1/4 would be .25 so .25 x 5 = 1.25

and then just make it negitive

Answer:

Step-by-step explanation:

There are an infinite number of fractions which equal -1.25.

But for simplicity realize that this is equal to -1.25/1. Multiply the numerator and denominator by 4 to get

-5/4

One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.

Step-by-step explanation:

The measure of the hypotenuse is 19.4 cm.

Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the measure of the hypotenuse be x.

Using Pythagoras theorem,

x² = 4² + 19²

⇒ x² = 16 + 361

⇒ x² = 377

⇒ x = √377

⇒ x = 19.4 cm

Therefore, the measure of the hypotenuse is 19.4 cm.

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