Lines m and n are parallel. The equation of line m is y=3x+3. What is the equation of line n?

Answers

Answer 1

Answer:

The equation for line n is y = 3x + c

What is the equation of a straight line ?

An equation of a straight line is given by y = mx+c, where m is the slope and c is the intercept on the y axis.

In the question it is given that

Lines m and n are parallel to each other.

The equation of line m is y=3x+3

The equation of line n =?

The parallel lines m an n will have same slope but different intercept.

So the slope in the line equation y=3x+3 is 3

m = 3

Taking c as the intercept by the line n on y axis.

The equation for line n is y = 3x + c

To know more about equation of a straight line

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Answer 2

Answer:

Answer:

y=3x-1

Step-by-step explanation:

You would have to change the y-intercept but that's all. Also, I put this answer into my ttm and got it right.

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Determine the wavelengths of all the possible photons that can be emitted from the n = 5 state of a hydrogen atom.

Answers

Answer:

Wavelengths of all possible photons are;

λ1 = 9.492 × 10^(-8) m

λ2 = 1.28 × 10^(-6) m

λ3 = 1.28 × 10^(-6) m

λ4 = 4.04 × 10^(-6) m

Step-by-step explanation:

We can calculate the wavelength of all the possible photons emitted by the electron during this transition using Rydeberg's equation.

It's given by;

1/λ = R(1/(n_f)² - 1/(n_i)²)

Where;

λ is wavelength

R is Rydberg's constant = 1.0974 × 10^(7) /m

n_f is the final energy level = 1,2,3,4

n_i is the initial energy level = 5

At n_f = 1,.we have;

1/λ = (1.0974 × 10^(7))(1/(1)² - 1/(5)²)

1/λ = 10535040

λ = 1/10535040

λ = 9.492 × 10^(-8) m

At n_f = 2,.we have;

1/λ = (1.0974 × 10^(7))(1/(2)² - 1/(5)²)

1/λ = (1.0974 × 10^(7))(0.21)

1/λ = 2304540

λ = 1/2304540

λ = 4.34 × 10^(-7) m

At n_f = 3, we have;

1/λ = (1.0974 × 10^(7))(1/(3)² - 1/(5)²)

1/λ = (1.0974 × 10^(7))(0.07111)

1/λ = 780373.3333333334

λ = 1/780373.3333333334

λ = 1.28 × 10^(-6) m

At n_f = 4, we have;

1/λ = (1.0974 × 10^(7))(1/(4)² - 1/(5)²)

1/λ = (1.0974 × 10^(7))(0.0225)

1/λ = 246915

λ = 1/246915

λ = 4.04 × 10^(-6) m

Let n = 5.What is the value of the expression 9n2−2−n?

Enter your answer in the box.

Answers

Answer:

9 (5) 2 - 2 - 5 = 83

Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answers

let's analyze each case to determine the solution

case 1) f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

case 2) f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

case 3) f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

case 4) f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

the answer is

f(2) = 0 and g(–2) = 0-------> this statement is true

The correct option is $\boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}$ .

Further explanation:

Consider a function $f\left(x\right)$ as $y$ .

$\boxed{f\left(x\right)=y}$ ...... (1)

Consider the function $g\left(x\right)$ as $z$ .

$\boxed{g\left(x\right)=z}$ ...... (2)

Substitute 0 for $x$ in equation (1) to obtain the value of $f\left(0\right)$ and also the value of $f\left(0\right)$ can be obtained from the graph by finding the value of $y$ at $x=0$ .

$\boxed{f\left(0\right)=4}$

Substitute 2 for $x$ in equation (1) to obtain the value of $f\left(2\right)$ and also the value of $f(2)$ can be obtained from the graph by finding the value of $y$ at $x=2$ .

$\boxed{f\left(2\right)=0}$

Substitute $-2$ for $x$ in equation (2) to obtain the value of $g(-2)$ and also, the value of $g(-2)$ can be obtained from the graph by finding the value of $z$ at $x=-2$ .

$\boxed{g\left({-2}\right)=0}$

Now check the option that is satisfied by the obtained value.

In the option (a) the value of $f(0)$ is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of $f(0)$ is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of $f(2)$ is 0 which is equal to the obtained value and the value of $g(-2)$ is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of $f(-2)$ is 0 but from the graph it can be observed that the value of $f(-2)$ is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.

PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP

Answers

Answer: 151

Step-by-step

you need to first find the area of each piece of the tent

the 2 rectangular flaps would be 6*8= 48 each

the bottom would be 4*8=32

to find the area of the triangular pieces we need to know the height of each triangle, right now we only know sides. To find the height (the altitude) you draw a line straight down to make a 90 degree angle.

that will also cut your base in half (2 instead of 4) and make 6 your hypotenuse

now use the Pythagorean theorem to find the height of the triangle

$a^(2) +b^(2) =c^(2) \n\na^(2) +2^(2) =6^(2) \na^(2) +4=36\na^(2) =32\na=√(32) = 5.66$

Area of a triangle is

$(1)/(2) bh\n(1)/(2) (4)(5.66)= 11.31$

the area of one triangle is 11.31

so together it is 48+48+32+11.31+11.31= 150.6

round up to 151

A sphere has a diameter of 4(x + 3) centimeters and a surface area of 7847 squarecentimeters. Find the value of x.

Answers

Answer:

Step-by-step explanation:

Identify the roots of gx= x2+3x-4 x^2-4x+29

Answers

Answer:

x1=1

x2= -4

x3= (2 + 5i)

x4= (2 - 5i)

Step-by-step explanation:

STEP 1-

Find the roots of the first term.

(x^2 + 3x -4)=0

Then group the terms that contain the same variable, and move the constant to the opposite side of the equation.

(x^2 + 3x)=4

Complete the square. Remember to balance the equation by adding the same constants to each side.

(x^2 + 3x + 1.5^2)=4 + 1.5^2

(x^2 + 3x + 1.5^2)=6.25

Rewrite as perfect squares

(x + 1.5)^2=6.25

Square root both sides.

(x + 1.5) = (+/-)2.5

x= -1.5(+/-)2.5

x= -1.5 + 2.5 = 1

x= -1.5 + 2.5= -4

so the factored form of the first term.

(x^2 + 3x + 4) = (x - 1) (x + 4)

STEP 2-

Find the roots of the second term

(x^2 - 4x + 29)= 0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^2 - 4x)= -29

Complete the square. Remember to balance the equation by adding the same constants to each side

(x^2 - 4x + 4) = - 29 + 4

(x^2 -4x + 4) = -25

Rewrite as perfect squares

(x - 2)^2 = -25

Remember that

i = square root of -1

Square root both sides

(x - 2) = (+/-)5i

x= 2 (+/-)5i

x= 2 + 5i

x= 2 - 5i

so the factored form of the second term is

(x^2 - 4x + 29) = (x - (2 + 5i))(x - (2 - 5i))

STEP 3-

Substitute the factored form of the first and second term in g(x)

g(x) = (x-1)(x + 4)(x- (2+ 5i))(x- ( 2-5i)

there for you have your answers

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