Find the distance between the points (0, –1) and (3, –3).
a. 25
b. 5
c. √13
d. 13

C. √13

Step-by-step explanation:

The distance between two points is given by

d =sqrt( (x2-x1)^2 + (y2-y1)^2)

  = sqrt( (3-0)^2 + (-3--1)^2)

  = sqrt( 3^2 + (-3+1)^2)

  = sqrt( 9+(-2)^2)

  = sqrt( 9+4)

  = sqrt(13)

To answer this, you basically use Pythagoras' Theroem, but instead of:

it will be :

So you are finding the squareroot of the (difference in y coordinates)² plus (difference in x coordinates) ²:

x is the x-coordinate of (0, -1)      (so x = 0)

y is the y-coordinte of (0, -1)        ( so y = -1)

x1 is the x coordinate of (3, -3)        ( so x1 = 3)

y1 is the y coordinate of (3, -3)        (so y1 = -3)

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Now, lets find the distance between the two points, by substituting all of this values into the equation at the top:

   (substitute in values)

  (simplify: note -1 - - 3 = -1 + 3)

    (simplify)

          (now square the numbers)

                  (simplify)

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C.  

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!