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
Oksi-84 [34.3K]
2 years ago
5

Find the distance between Line L and Point P if Line L contains the points

Mathematics
1 answer:
svet-max [94.6K]2 years ago
3 0

Answer:

  (b)  4.2

Step-by-step explanation:

The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.

We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...

  y = 2/3x

  3y = 2x

  2x -3y = 0 . . . . . . general form equation for the line through the points.

The formula for the distance from (x, y) to the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a²+b²)

The distance from (x, y) to our line is given by the formula ...

  d = |2x -3y|/√(2² +(-3)²)

  d = |2x -3y|/√13

For point P(9, 11), the distance to the line is ...

  d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2

You might be interested in
SOMEONE PLEASE HELP!!
ruslelena [56]
Your answer is 9 percent
7 0
3 years ago
Help<br> what time does this clock says?
Anestetic [448]

<em>The</em><em> </em><em>clock</em><em> </em><em>says</em><em> </em><em>4</em><em>:</em><em>3</em><em>o</em><em> </em><em>am</em><em>/</em><em>pm</em><em> </em><em>as</em><em> </em><em>big</em><em> </em><em>one</em><em> </em><em>is</em><em> </em><em>at</em><em> </em><em> </em><em>6</em><em> </em><em>and</em><em> </em><em>small</em><em> </em><em>near</em><em> </em><em>4</em>

3 0
1 year ago
A​ 1-ounce serving of cream cheese contains 7.8
Misha Larkins [42]
Sent a picture of the solution to the problem (s). Proportions are a quick set up to find a part of two things being compared. You will use this method a lot in math and science.

5 0
3 years ago
A stadium has a a central rectangular area 125m long by 80m wide.there are two semi circular ends.a running track goes all the w
Fudgin [204]

a)The total inside length of the curved ends of the track will be 25.13 meters

b)The total distance around the inside of the track will be 275.13 meters

c)The area inside the track is 10050 square meters.

<h3>What is an area?</h3>

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

A stadium has a central rectangular area 125m long by 80m wide. there are two semi-circular ends. a running track goes all the way around.

a) what is the total inside length of the curved ends of the track?

The length of the curved track means it is a perimeter of the circle so the radius of the semicircle will be 4 meters.

So the length will be = π r + πr = 2 πr

                                  = 2 x π x 4 = 25.13

b) what is the total distance around the inside of the track?

The total distance of the track will be the sum of the length of the two semicircles and the longer side of the rectangle.

Total length = 125 + 125 + 25.13

                     = 275.13 meters

c) what is the area inside of the track?

The area will be equal to the area of the two semicircular tracks and the rectangular track.

Total Area = Area of semicircle + Area of semicircle + Area of rectangle

                  = ( π/2 ) r² + (π/2) r² + ( L x W )

                  =  π  r² + (  L x W)

                  = π ( 4 )² + ( 125 x 8 )

                  = 10050.26 square meters.

Therefore the total inside length of the curved ends of the track will be 25.13 meters. The total distance around the inside of the track will be 275.13 meters. The area inside the track is 10050 square meters.

To know more about an area follow

brainly.com/question/25292087

#SPJ1

3 0
2 years ago
A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice
Masteriza [31]
When i divided and got the answer it was 12R4 R=Remainder
8 0
3 years ago
Other questions:
  • I am so stuck on this. I need your help. <br>​
    12·1 answer
  • Smart phone sales since 1990
    10·1 answer
  • Chart :
    13·1 answer
  • 50 POINTS!!!!!
    14·2 answers
  • What is the slope of this line?<br><br> 23<br> 13<br> −13<br> −23
    7·2 answers
  • Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work
    14·1 answer
  • Compare 6,200.ft by 1.mi 900.ft
    10·2 answers
  • Brainliest Help me it’s easy
    8·2 answers
  • Plz help ASAP I will add branliest to the first answer, I need to solve for the letter
    14·2 answers
  • A car dealership increased the price of a certain car by 5%. The original price was $44,600.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!