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
olga2289 [7]
2 years ago
6

What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​

Mathematics
1 answer:
natta225 [31]2 years ago
5 0

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

You might be interested in
Help asap!!!!!!!
azamat

Answer:

C and D

Step-by-step explanation:

So from the equation <em>y = 1.26x + 9.49</em>  we can gather that <em>9.49</em> is an initial value because it has to be added to the number with a variable <em>( 1.26x)</em>

Because <em>1.26</em>  has a variable of <em>x  </em>and x represents a week, we know that the number<em> 1.26 </em>will increases in value depending on how many weeks have passed.

7 0
3 years ago
The scale factor of a model of a swimming pool to the actual swimming pool is 1 to 20. the volume of the actual pool is 400 m^3.
erica [24]
P(v)=5000/v hope this helps
3 0
3 years ago
Read 2 more answers
If 6:2=8:x, then<br><br> 6x = 16<br> 6x = 10<br> 2x = 48<br> 2x = 14
Talja [164]
The answer is 6x = 16
3 0
3 years ago
12a + 5 minus 8a = negative 1
Rudiy27

Answer:

a is equal to 0.3

Step-by-step explanation:

12a + 5 -8a =-1

(collect like terms)

12a + 8a= -1 -5

20a = -6

a= -6÷20

a= 3÷ 10

a= 0.3

6 0
3 years ago
How much tax will be added to a total bill of $27.36 if the tax rate is 8.1%
zaharov [31]

Answer:

35.46

Step-by-step explanation:

27.36+(8.1)=35.46

3 0
3 years ago
Other questions:
  • The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What
    6·1 answer
  • Each potted plant cost ls $4.75,and each shrub costs $14.50
    14·1 answer
  • Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n
    9·1 answer
  • How many cubes of edge 4cm, each can be cut out from cuboid whose length, breadth and height are 20 cm, 18 cm and 16 cm respecti
    8·1 answer
  • Find the slope and y-intercept of the graph of the equation.<br> y= 2x + 7
    10·1 answer
  • Item 3 Simplify $\left(s^{-5}\right)^3$ . Write your answer using only positive exponents.
    10·1 answer
  • 2.
    9·1 answer
  • Mike got a 45% discount when he bought a new jacket. Which of the following is NOT equivalent to 45%?
    13·1 answer
  • Rectangle area w algebra<br> step by step explanation please :)
    9·1 answer
  • Express 18 as a product of its factors?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!