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
What is 697*100 please help
Vedmedyk [2.9K]
Here is a trick I always use:

Get rid of both zeros in100 for now 
So just do 697*1 which is just 697

Now add the two zeros to your answer to get 69,700 which is the final answer
3 0
3 years ago
Read 2 more answers
PLS HELP, 50 POINTS!!!
Sedaia [141]

Answer:

Part A: From 0 to 2 seconds, the height of the water balloon increases from 60 to 75 feet, therefore the water balloon's height is increasing during the interval [0,2]

Part B: From 2 to 4 seconds, the height of the water balloon stays the same at 75 feet, therefore the water balloon's height is the same during the interval [2,4] From 10 to 12 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [10,12] From 12 to 14 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [12,14] 

Part C: The interval, [4,6] of the domain is when the water ballon's height decreases the fastest. The interval [4,6] decreases by 35 feet. The two other intervals that decrease are [6,8] and [8,10] which both have the same slope. They decrease by 20 feet. Therefore, this helps us conclude that the interval [4,6] decreases the fastest because 35 feet is a more significant decrease than 20 feet. 

Part D: I predict that the height of the water balloon at 16 seconds is 0 feet. This is because at 10-14 seconds, the water balloon's height is 0 feet. In read-world situations, if the water balloon is on the ground which is 0 feet, it stays on the ground due to gravity. 

Step-by-step explanation:

I hope this helps! I also do not know if it is all correct but I did research and everything so hopefully it is correct! Good luck!

8 0
4 years ago
Read 2 more answers
Tamika makes a 5.5% commission selling electronics. How much commission does she make if she sells a flat screen TV for $10,000?
Westkost [7]
Percentage of commission that Tamika makes selling electronics = 5.5%
Amount at which Tamika sells a flat screen TV = $10000
Then
Amount of commission made by Tamika = (5.5/100) * 10000 dollars
                                                                = 5.5 * 100 dollars
                                                                = 550 dollars
From the above deduction, we can conclude that the correct option among all the options that are given in the question is option "B". 
8 0
3 years ago
Read 2 more answers
Evaluate ∫3x2sin(x3)cos(x3)dx by
liraira [26]

Answer:

Evaluate ∫3x2sin(x3)cos(x3)dx

Step-by-step explanation:

hello        (a) using the substitution u=sin(x3)  because

du =3x²(cos x3)dx

you have   ∫3x2sin(x3)cos(x3)dx = ∫udu=u²/2 +c............continu

6 0
2 years ago
A Solution has a density of 1.50g/mL How many grams are needed to obtain 10.0mL of solution
san4es73 [151]
DENSITY =MASS/VOLUME

OR MASS = DENSITY X VOLUME


DENSITY =1.5 g/ml  AND VOLUME = 10 ml


MASS = 1.5 x 10 = 15 g
4 0
4 years ago
Read 2 more answers
Other questions:
  • The Flat Rock auto assembly plant in Detroit, Michigan, produces three different makes of automobiles. In 1994 and 1995, the pla
    14·2 answers
  • What function is graphed below?
    14·2 answers
  • For a given data set, the equation of For a given data set, the equation of the least squares regression line will always pass t
    14·1 answer
  • If people have 6 apples and 46 lemons each, how much would 423 people get?<br><br> [URGENT]
    10·1 answer
  • Solve the formula Ax+By=C for A
    12·2 answers
  • A cone and a cylinder have the same size base. The cones height is 6 times the height of the cylinder. How much greater is the v
    7·1 answer
  • A rotation of a figure can be achieved by consecutive ___ of the figure over given lines
    6·1 answer
  • WILL MARK BRAINLIEST Find the value of x in each case: c L, M ∈ KN
    13·1 answer
  • Pls help, you will get branliest !!​
    7·2 answers
  • This circle is centered at the origin, and the length of its radius is 8. What is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!