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
mart [117]
3 years ago
13

Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )

Mathematics
1 answer:
irinina [24]3 years ago
4 0

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

You might be interested in
When the shaded region below is rotated about the x-axis the resulting solid is a circular cone with radius 2 m and height 3 m.
WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.  

We have the formula:

\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}

We know that r=2 and h=3, and we get:

V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi

Therefore, the volume of the cone is V=4π.

7 0
3 years ago
Can anyone answer this for me?
kramer

Answer:

\frac{3}{2} π (or 270°)

Step-by-step explanation:

I use the trick with the coordinates.

(0, -1)

cos270° = 0 (the x-coordinate)

sin270° = -1 (the y-coordinate)

This trick works depending on the radius.

7 0
3 years ago
What is 451.568 rounded to the tenths place.
PSYCHO15rus [73]
It will be 451.6 because 5 is tents place 68 is big number so u add 1 + 5 = 6
Answer 451.6
7 0
3 years ago
Read 2 more answers
The diameter of the plate was 11 inches. Find its circumference to the nearest half
alexgriva [62]
Circumference of a circle
C = 2 * pi * r
r would be 5.5
Thus 
C = 34.56 
6 0
3 years ago
Read 2 more answers
el precio de xbox es de $4,300 pesos .a esta cantidada se debe agregar 16% del iva ¿cual es el precio del x-box con el iva inclu
777dan777 [17]

Answer: 4,988 porque 16% de 4,300 es 688 asi que nomas lo aggregas a lo que costaba y agaras el resultado de 4,988

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Hey please please please please please help have a Struggling with this all day
    5·1 answer
  • 3 times as much as the sum of 3-4 and 2-6.
    9·2 answers
  • Evaluate f(-1) for the function f(x) = -5x + 3 *
    5·1 answer
  • How do I find point-slope form???
    14·1 answer
  • There are t teams in a soccer league.Each team has 11 players.Make a table , write an equation , and draw a graph to describe th
    6·1 answer
  • Fill in the blanks in the list.
    6·1 answer
  • What’s (2.5,6) dilated by a scale factor of 2?
    8·1 answer
  • If you randomly pick a date in april, how mny equally likely outcomes are there.
    13·1 answer
  • A turtle is 1.5 feet long. If there were 6 of these turtles standing in a line, what would the length of the line be in yards?
    9·2 answers
  • Which is equivalent to √50x³ after it has been simplified completely?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!