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

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation:

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)