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ziro4ka [17]
3 years ago
13

Find the distance. -3,5 and 7,-1

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Answer:

≈ 11.66 units

Step-by-step explanation:

<u>Given points:</u>

  • (-3,5) and (7,-1)

<u>To find:</u>

  • The distance between the given points

<u>The distance between two points is calculated by formula:</u>

  • d= √((x2-x1)² + (y2-y1)²)
  • d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units

<u>Answer is</u> ≈ 11.66 units

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3 years ago
Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)?
klio [65]

Answer:

D) y =   -2

The equation of the perpendicular line to the given line is  y = -2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given point (-3,-2)

In graph the equation of line  x = 8 ( parallel to y- axis )

                              1 x + o y - 8 =0

The equation of the perpendicular line to the given line  

                        b x - a y + k =0

                       o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

                        0 ( -3) -1(-2) + k =0

                               2 + k =0

                                     k = -2

∴<em>The equation of the perpendicular line to the given line  is </em>

<em>      put k = -2 in equation (i)    </em>

                        o x - 1 y + k =0

                      - y +(-2) =0

                       - y = 2

                         y = -2

<u><em>Final answer:-</em></u>

∴The equation of the perpendicular line to the given line is  y =-2

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