What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?

Answer:

[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]

Answer:

Step-by-step explanation:

4(v+4)–7=17

=> 4(v + 4) = 17 + 7

=> 4v + 16 = 24

=> 4v = 24 - 16

=> 4v = 8

[tex] = > v = \frac{8}{4} [/tex]

=> v = 2 (Ans)

Answer:

v=2

Step-by-step explanation:

4(v+4)–7=17

Distribute

4v+16 -7 = 17

Combine like terms

4v +9 =17

Subtract 9 from each side

4v+9-9=17-9

4v = 8

Divide by 4

4v/4 = 8/4

v=2

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

Answer:

ans - all the snow would been removed ....bcause 4 *2.5 is 10

Answer: 20

2.5 + 10

Step-by-step explanation:

The association between the given lines is that they are 'neither perpendicular nor parallel.'

To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'

-7x + 2y = 3

2y = 7x + 3

y = 7/2x + 3/2

-6x + 3y = 2

3y = 6x + 2

y = 2x + 2/3

This shows that both the lines have different slopes, as well as, intercepts of y. And,

[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1

Thus, it is not perpendicular also.

Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.

Learn more about 'slope' here:

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Answer:

5/13

Step-by-step explanation:

Sin = 12/13

cos= 5/13

Tan= 12/5

Answer:

a/b

Step-by-step explanation:

The rational form of a:b or simply a/b is in the simplest form.

Answer:

Step-by-step explanation:

the answer is option 2 from the above sheet

Answer:

[tex] \frac{5}{18} = 0.27[/tex]

Step-by-step explanation:

[tex] \frac{(4 - 5)^{2} + {(2 + 1)}^{2} }{ {(4 + 2)}^{2} } [/tex]

[tex] = \frac{ {( - 1)}^{2} + {3}^{2} }{ {6}^{2} } [/tex]

[tex] = \frac{1 + 9}{36} [/tex]

[tex] = \frac{10}{36} [/tex]

[tex] = \frac{5}{18} [/tex]

= 0,27

Answer:

Option A is correct

Step-by-step explanation:

Hope it is helpful....

Answer:

-x²

Step-by-step explanation:

[tex](f+g)(x)\\\\5x-x^2-5x\\\\-x^2[/tex]

Answer:

3 hours 26 minutes

Step-by-step explanation:

26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes

The total time that she spend fixing her bicycle is 3 hr 26 minutes

Given the following parameters

Time that Olivia starts fixing bicycle= 9:34 am

Time she finishes = 1pm

The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.

Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes

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Answer:

84

Step-by-step explanation:

[tex]4^3+4^2+2^2= 64+16+4=84[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]

[tex]\huge\boxed{\mathsf{4^3}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]

[tex]\huge\boxed{\mathsf{4^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]

[tex]\huge\boxed{\mathsf{2^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

Answer:

92

Step-by-step explanation:

180-88

Answer:

A. A, B, C, D

Step-by-step explanation:

A. 4.99 ÷ 2.25 = 2.1777...

B. 5.50 ÷ 1.75 = 3.142857143

C. 10.99 ÷ 4.50 = 2.44222...

D. 2.99/0.5 = 5.98/1

Answer:

a. A, C, B, D

Step-by-step explanation:

A. 9/4 = 2.25

2.25/4.99 = 1/x

2.25x ÷ 2.25 = x

4.99 ÷ 2.25 = 2.22

$2.22 per pound

B. 7/4 = 1.75

1.75/5.50 = 1/x

1.75x ÷ 1.75 = x

5.50 ÷ 1.75 = 3.14

$3.14 per pound

C. 9/2 = 4.5

4.5/10.99 = 1/x

4.5x ÷ 4.5 = x

10.99 ÷ 4.5 = 2.44

$2.44 per pound

D. 1/2 = 0.5

0.5/2.99 = 1/x

0.5x ÷ 0.5 = x

2.99 ÷ 0.5 = 5.98

$5.98 per pound

Answer:

multiply 4 by 12 okay bro

Answer:

y = [tex]\frac{1}{3}[/tex] x

Step-by-step explanation:

Given that y and x are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 4 when x = 12 , then

4 = 12k ( divide both sides by 12 )

k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of proportion

Answer:

search it in internet.hope you'll find the answer

Step-by-step explanation:

3w + 2 = 20

       -2    -2

------------------

3w = 18

----    ----

 3       3

   w = 6

You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.

Hope this helped.

Equation – 3w + 2 = 20

Transpose 2 to the right hand side of the given equation

Now, simplify the right hand side

Cross multiply

Hence, the solution of the equation is 6

Answer:

40 kg

Step-by-step explanation:

[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]

y · 83.75 = 5 · 670

83.75y = 3350

83.75y ÷ 83.75 = 3350 ÷ 83.75

y = 40

The amount of rice you can buy for ₹670 is given by the equation

A = 40 kilograms

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rice for ₹670 be A

Now , the equation will be

The amount for 5 kg of rice = ₹ 83.75

So , the amount for 1 kg of rice = amount for 5 kg of rice / 5

The amount for 1 kg of rice = 83.75 / 5

The amount for 1 kg of rice = ₹ 16.75

So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice

The amount of rice for ₹ 670 = 670 / 16.75

The amount of rice for ₹ 670 = 40 kilograms

Therefore , the value of A is 40 kilograms

Hence , the amount of rice is 40 kg

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Number of weeds is represented by the function,

[tex]W(d)=1500(0.75)^d[/tex]

[tex]W(d)=1500(1-0.25)^d[/tex] -------(1)

Here, [tex]d=[/tex] Number of days since application

Function representing the exponential decay is,

[tex]A(t)=A(1-r)^t[/tex] --------(2)

[tex]A=[/tex] Initial value

[tex]r=[/tex] Percentage decay

[tex]t=[/tex] duration

By comparing both the functions (1) and (2),

[tex]r=[/tex] 0.25 ≈ [tex]\frac{25}{100}[/tex]

Or [tex]r=[/tex] 25%

Therefore, population of weeds will decrease 25% each day.

Learn more about exponential decay,

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Answer:

i think 60 degree is the answer

Answer:

72°

Step-by-step explanation:

There are 5 petals , so

angle of rotation = 360° ÷ 5 = 72°

To obtain an estimate of a parameter of a population, we use confidence intervals.

Confidence intervals:

The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.

Thus, you should select the highest sample size in the options.

For more on confidence interval/margin of error, you can check https://brainly.com/question/22718960

Answer:

405

Step-by-step explanation:

A = P(1-r)^t

A = 500 (1-.1)^2

A = 500 (.9)^2

   = 500*0.81

   = 405

Answer:

5

(40+24)=64

64÷8=8

(2^2-1)=3

8-3=5

Answer:

x = 40°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

3x + 22 = 142 ( subtract 22 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40°

Answer:

10000+1241222+24122+907979+153647612232

1

Answer:

50 km

Step-by-step explanation:

c = √a^2+b^2

=√30^2+40^2

= √900 + 1600

=√2500

= 50 km

Answer:

50km

Step-by-step explanation:

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

Step-by-step explanation:

i Will help wit Shape A and Next Try to figure out Shape B

shape A Looks the Shape XY coordinate, which Horizontal & Vertical Line

Shape A Coordinate

X = 7, 8.5, 7,5, 7.5,

Y = 7, 7, 6.5 , 5

if you wanna to understand this coordinate between X & Y try plotting with Horizontal or Vertical Line at your Shape And you Would be Understanding about these coordinate meaning