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
nirvana33 [79]
2 years ago
11

What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
7 0

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

You might be interested in
Araceli recorded the height (in centimeters) of a pea plant over a 10-day
Bogdan [553]
C is the answer.......
6 0
3 years ago
Find all solutions of the equation in the interval [0,2pi)
irinina [24]

Answer:

{π/4, 5π/4}

Step-by-step explanation:

Tan theta -1=0 could be rewritten as tan Ф = 1.  The tangent function is 1 at Ф = π/4.  As the period of the tangent function is π,

tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.

The solution set is {π/4, 5π/4}.

4 0
2 years ago
Find the domain of the function (ƒ • g)(x) where ƒ(x) = 2x2 + x, g(x) = 5x – 1
asambeis [7]

Not sure if that's a multiplication or a composition. It doesn't matter. Both f and g have a domain of all real numbers. The domain of

( f \circ g)(x)=f(g(x))

is the same as the domain of g(x), all real numbers

Answer: all real numbers


7 0
2 years ago
Round to the nearest tenth :14.94<br><br> need answer ASAP, please explain your answer!
Diano4ka-milaya [45]
14.9


Step-by-step explanation:


Here’s a trick 5 or more let it sore 4 or less let it rest.
4 0
2 years ago
Read 2 more answers
Write the equation<br>x - 4y = 16 in<br>slope-intercept form.​
e-lub [12.9K]

<u><em>Good morning</em></u>,

Step-by-step explanation:

Look at the photo below for the Answer.

:)

3 0
3 years ago
Other questions:
  • Which box and whisker plot represents the data below. 11 11 12 13 15 17 19 19.5 20
    8·2 answers
  • Can someone help me answer this
    11·1 answer
  • #2 *
    14·1 answer
  • Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. She bought seven total shirts. How many fancy and
    7·1 answer
  • How does the graph below change between point A and point B
    7·2 answers
  • Candida has a revolvine credit account at an annual percentage rate of 24% Her previous monthly balance is $549.79 Find the new
    11·1 answer
  • Answer question please
    11·1 answer
  • If y varies directly as x, and y = 6 when x = 5, find y when x = 15
    14·2 answers
  • Simplify the expression:<br> -4x + 3y - 2x - 3y
    15·1 answer
  • Which equation could be used to solve the question below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!