Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24

≈ 4.12 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d =

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d =

   =

   =

   =

    ≈ 4.12 ( to the nearest hundredth )

The distance between given points is: 4.12 units

Step-by-step explanation:

Given points are:

(3, 8) and (-1, 9)

Here

The distance is calculated using the following formula:

Putting the values, we get

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5