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
aev [14]
3 years ago
15

Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

They are perpendicular

Step-by-step explanation:

To solve this problem .

we will convert the equations in slope intercept form.

Slope intercept  form of equation is y = mx+c

where m is slope of line and c is y intercept.

________________________________

equation 1 is

2x+y = 4

=> y =4 - 2x or y = -2x + 4

comparing it with y = mx + c

m = -2  , c = 4

_________________________________________

equation 2 is y = one halfx + 4 ( one half is same as 1/2)

so equation is

y = x/2 +4

comparing it with y = mx + c

m = 1/2  , c = 4

_________________________________________

Now lets evaluate options

They are parallel.  wrong option

For lines to be parallel slope should be same.

But here slope are different -2 and 1/2 .

Thus lines are not parallel.

__________________________________________

They are perpendicular.  correct option

For lines to be perpendicular, product of slope should be equal to -1.

-2*1/2 = -1

we can see that product of slope should be equal to -1 .

Thus lines are  perpendicular

______________________________________

They are the same line.  wrong option

For lines to be same both slope and y intercept should  be same.

Y intercept is same but the slopes are different -2 and 1/2  .

Thus lines are not  the same line.

__________________________________________

They are not related.       wrong option

As we have found that the lines are perpendicular .

So this option is intuitively wrong

You might be interested in
Hi y’all please help me !
mestny [16]

Answer:

C

Step-by-step explanation:

They are vertical angles, vertical angles always have the same measurement. example below

this angle is 56---> 56 ><m <---- this angle is always 56 since they are vertical

6 0
3 years ago
Read 2 more answers
PLEASE HELP! GIVING POINTS! PLEASE EXPLAIN IF YOU CAN :)!
jolli1 [7]

Answer:

if I am correct 2/3 is bigger than 0.65

and I think 5.5 is smaller than 5 3/7

and I think the order goes 3/8 5/6 1/2

8 0
3 years ago
The imaginary coefficient of 18 + 15i is?
kykrilka [37]

Answer:

I bc it has an invisible 1 at the side

6 0
3 years ago
Which statement can be used to prove that a given parallelogram is a rectangle?
RSB [31]

The <em>correct answer</em> is:


The diagonals of the parallelogram are congruent.


Explanation:


In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.


Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.


The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.


The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

7 0
3 years ago
Read 2 more answers
Which graph represents the function f(x)=4|x|?
Fantom [35]

Answer:

I think this is what the graph looks like.

Step-by-step explanation:

I hope this helps.sorry if it's wrong.

5 0
3 years ago
Read 2 more answers
Other questions:
  • !!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
    13·1 answer
  • Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8
    13·1 answer
  • Fruit baskets and cleaning windows
    11·1 answer
  • 1) Write an expression to represent the pattern. 19, 27, 35, 43...
    11·1 answer
  • Bob can run 5 miles in 1.25 hours. Stan can run 3 miles in 50 minutes. Who can run faster?
    7·1 answer
  • Simplify the expression. Write your answer as a complex number.
    13·1 answer
  • Jaime claims that when you multiply a whole number by 100, the decimal point moves two places to the right. Salome argues that t
    12·1 answer
  • PLZ HELP ME (PICTURE OF PROBLEM)
    10·1 answer
  • 24. Pe un cerc sunt dispuse 2014 numere reale, fiecare având modulul 11. Se face suma celor 2014 produse de câte patru numere di
    13·1 answer
  • a flat for sale sign has a perimeter of 58 inches. the length is 5 inches longer than the width. what is the width?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!