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
Nadya [2.5K]
2 years ago
14

What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0

Mathematics
1 answer:
pogonyaev2 years ago
5 0

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

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

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

You might be interested in
ANYONE HELP PLS THIS IS HARD PLSSS
juin [17]

Answer:

90% sure it's the third option

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Joe went to watch the Quakes play baseball at Epicenter stadium in Rancho Cucamonga. While he enjoyed the game, he also purchase
anzhelika [568]

Answer:

a) True

b) True

c) False

d) True

Step-by-step explanation:

A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)

On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)

Considering these definitions we get:

a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.

b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.

c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.

d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.

4 0
3 years ago
Minni is arranging 3 different music CDs in a row on a shelf. Create a sample space for the arrangement of a jazz CD (J), a pop
weeeeeb [17]
The sample space for the 3 different music CDs is as follows:
{JPR, JRP, PJR, PRJ, RJP, RPJ}
8 0
3 years ago
Read 2 more answers
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odomet
Nadusha1986 [10]

Answer:

Step-by-step explanatin

it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook

6 0
3 years ago
2<br> Do side lengths 23, 16, and 7 create a<br> triangle?<br> Show Your Work
Alexus [3.1K]

Answer:

what type? if right then

7^2+16^2=23^2

49+256=529

305≠529

so its not a right triangle

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of r
    15·2 answers
  • PLEASE HELP WILL GIVE BRAINLEIST ANSWER AND STARS AND THANK BOTH ON YOUR PROFILE AND ANSWER!!!!!!!!!!!!!!!!
    13·2 answers
  • 14. 7 points and brainliest answer if you get it right
    5·1 answer
  • 1/2 x blank minus 13 equals 15
    10·1 answer
  • the values of x and y vary diectly and one pair of values are given write an equation that relates x and y if x=-5 and y=10
    15·1 answer
  • You plant a tree that is 3 feet tall originally. Then it grows 4 feet
    15·2 answers
  • Select the function that matches the graph.
    12·2 answers
  • Please help me in this computer excel​
    13·1 answer
  • Can someone solve this for me?
    13·2 answers
  • Solve the following inequality.<br> 3x+5&lt;6x-1
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!