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
Please help i’m so stuck i can’t do calc for the life of me
KATRIN_1 [288]

Answer:

-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}  is the answer. See steps below.

Step-by-step explanation:

\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}\\\\-3x^5+11x^4+33x^3-26x^2-36x-6\\\\\mathrm{and\:the\:divisor\:}x^3+6x^2-3x-5:\\\\\mathrm{Quotient}=\frac{-3x^5}{x^3}=-3x^2\\\\\mathrm{Multiply\:}x^3+6x^2-3x-5\mathrm{\:by\:}-3x^2\:\:\rightarrow\:\:-3x^5-18x^4+9x^3+15x^2\\\\\mathrm{Subtract\:}-3x^5-18x^4+9x^3+15x^2\mathrm{\:from\:}-3x^5+11x^4+33x^3-26x^2-36x-6\mathrm{\:to\:get\:new\:remainder}.\\\\\mathrm{Remainder}=29x^4+24x^3-41x^2-36x-6

=-3x^2+\frac{29x^4+24x^3-41x^2-36x-6}{x^3+6x^2-3x-5}

Repeat the steps and you will reach a point where no further division is possible.

<u />

<u />=-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}<u />

5 0
2 years ago
Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by
Snowcat [4.5K]

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

8 0
3 years ago
Please Write An Equation, Then Solve.
LenKa [72]
Equation: 59.95+4x=64.95+2x

Solve for x:
2x=5
x=2.5

$2.5 for one pair of socks
4 0
3 years ago
What is the domain of the function represented by this graph?
balandron [24]

Answer:

D. ALL REAL NUMBERS

Step-by-step explanation:

3 0
3 years ago
How many tissues does a carrot contain?<br>Explain your reasoning.​
zepelin [54]

Answer:

khv-hjsb-qwc. join in meet all

6 0
2 years ago
Other questions:
  • Write each fraction in its simplest form 8/22 12/14
    15·2 answers
  • I want to make sure of my answer is right?
    15·1 answer
  • Find the product of the solutions of this equation. 15x^2+23x-41=0
    8·1 answer
  • Help with 7-12 please!​
    9·1 answer
  • Math help plz!!!
    12·2 answers
  • Write an expression that is equal to 3x 2 1/4
    14·1 answer
  • HELPP! Brainliest is rewarded!
    14·2 answers
  • The fitted intercept in a regression has little meaning if no data values near X = 0 have been observed.a. true.b. false.
    5·1 answer
  • Determine the area, in square feet, of the smallest square that can contain a circle with a radius of 8 feet.
    5·1 answer
  • The cookies Yoko wants come in packs of 9. She needs 37 of these cookies for a party. How many packs should she buy?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!