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Slav-nsk [51]
3 years ago
15

A circle with center c(4,-2) contains the point D( 8,1). What is the equation of the line perpendicular to the radius of the cir

cle passing throug the point C

Mathematics
1 answer:
Nady [450]3 years ago
8 0

Answer:

  4x +3y = 10

Step-by-step explanation:

The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.

The equation for the perpendicular line through point C(4, -2) can be written as ...

  Δx(x -4) +Δy(y -(-2)) = 0

  4(x -4) +3(y +2) = 0

  4x +3y -10 = 0 . . . . . . general form equation for the line

  4x +3y = 10 . . . . . . . . .standard form equation for the line

 

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What is the slope of the line that contains these points?<br> (-1,10) (0,18) (1,26) (2,34)
-BARSIC- [3]

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) ,

(2 , 34) is 8

Step-by-step explanation:

You can find the slope of a line from any two points lie on it

  • The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}
  • (x_{1},y_{1}) and (x_{2},y_{2}) are two points lie on it

∵ A line contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34)

- To find the slope of the line chose any to points

∵ Points (0 , 18) and (1 , 26) lie on the line

∴ x_{1} = 0 and x_{2} = 1

∴ y_{1} = 18 and y_{2} = 26

- Substitute these values in the formula of the slope above

∵ m=\frac{26-18}{1-0}

∴ m=\frac{8}{1}

∴ m = 8

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34) is 8

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

#LearnwithBrainly

7 0
3 years ago
Help me asap pleaseeeeee
34kurt

Answer:

1. her elevation at noon was 3 meters

2. (-2, 7)

3. (1, 0)

Step-by-step explanation:

1. when x = 0, it is noon, y = 3 when x is 7

2. when x = -2 it is 10 am because when x is 0, it is noon, or 12 pm, her elevation is 7 meters above sea level

3. when x is 1, it is 1 pm, and her elevation is 0 meters

5 0
3 years ago
Callan is buying a square shaped platter with an area of 169 square inches what is the correct step he should take if he wants t
bagirrra123 [75]

a = length of one side.

Area of a square = a^2

in our problem,

Area = 169 square inches

a = ?

Plug our numbers into the area formula mentioned above.

169 in^2 = a^2.

Take the square root of each side to find the side length of the square shaped platter.

13 = a

4 0
3 years ago
I need help this is urgent!!
harina [27]
If you need an equation it is -3.4x=21.5

You simply divide both sides by -3.4 to get x=-6.32



if that's not right then just get on a calculator and calculate by doing what I said to divide
7 0
4 years ago
X - 2y = 2 3x + 3y = 24
Alona [7]
Answer : yes



Explanation yes
6 0
3 years ago
Read 2 more answers
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