1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dangina [55]
2 years ago
9

Line m has the equation y = 1/2x - 4

Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Answer:

  • As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

y=mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

x-2y=4

solving for y to writing the equation in the slope-intercept form and determining the slope

x-2y=4

Add -x to both sides.

x - 2y + (-x) = 4+(-x)

-2y = 4 - x

Divide both sides by -2

\frac{-2y}{-2}=\frac{-x+4}{-2}

y=\frac{1}{2}x-2

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

  • As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

You might be interested in
The sum of one and the product of four and a number x
frez [133]
1+(4x) ??????????? I think so
7 0
3 years ago
Read 2 more answers
Susan earned $191.25 last week. She is paid<br> $8.50/h. How many hours did she work?
Oksanka [162]

Answer:

22.5 hours

Step-by-step explanation:

191.25 divided by 8.50 hours will get you the total amount of hours she worked

5 0
2 years ago
Read 2 more answers
What are the domain and range of the inequality y &lt; sqrt x+3+1
love history [14]

Given:

The inequality is:

y

To find:

The domain and range of the given inequality.

Solution:

We have,

y

The related equation is:

y=\sqrt{x+3}+1

This equation is defined if:

x+3\geq 0

x\geq -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

\sqrt{x+3}\geq 0

\sqrt{x+3}+1\geq 0+1

y\geq 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

3 0
3 years ago
Angel jogged around the park in 1 1/4 hr chris jogged same distance in 5/6 hrs how much longer did angel take then chris in hr??
QveST [7]
You will have to get the difference and get a common denominator but first combine the mixed number:
1 \:  \frac{1}{4}  -   \frac{5}{6}   =  \frac{5}{4}   -   \frac{5}{6} =  \frac{15}{12}   -   \frac{10}{12}
Then subtract the numbers
\frac{15}{12}  -  \frac{10}{12}  =  \frac{5}{12}
Angel took 5/12 hours longer than Chris
6 0
3 years ago
Which of the following describes the graph of y=\sqrt(-4x-36) compared to the parent square root function?
borishaifa [10]

Answer:

Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.

Step-by-step explanation:

Given : The function y=\sqrt{-4x-36}

To find : Which of the following describes the graph of y=\sqrt{-4x-36}compared to the parent square root function?

Solution :

First we simplify the given expression

y=\sqrt{-4x-36}

y=\sqrt{4(-x-9)}

y=2\sqrt{-(x+9)}

→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.

  • Multiplying 2 in the function will give you the stretched by a factor of 2.
  • g(x)=\sqrt{-x} shows the reflection about y-axis i.e, (x,y)→(-x,y).
  • If f(x)→f(x+b) then function is shifted left by unit b

        ⇒ g(x))→g(x+9) then function is shifted left by unit 9

Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .

So, Option D is correct.

6 0
2 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP
    5·2 answers
  • Abcd is a rectangle with b(-5, 0), c(7, 0) and d(7, 3). find the coordinatesof<br> a.
    8·1 answer
  • PLEASE HELP, WILL GIVE BRAINLIEST ANSWER!!!!!!!!!!!!!!!!!!!!!111
    6·1 answer
  • What is the value of x in the equation (x + 12) = (x + 14) – 3?
    7·2 answers
  • Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5. Enter your answer into
    14·1 answer
  • Assume that four men and four women are to sit in a row of eight chairs. In how many ways can these people sit if all men must s
    8·1 answer
  • I need help pleaseeew !!!
    14·1 answer
  • Which part of this graph shows a nonlinear relationship?
    5·2 answers
  • Anyone, please help I really need to know ?
    6·1 answer
  • HELP PLEASEEEEEEEEEEEEEEE
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!