Mathematics: (-8,-4)& (2,-9) fint the distance between each pair of points

(-8,-4)& (2,-9) fint the distance between each - id84294674883, GreenHerbz206

Ответ:

evazquez

16.01.2022

Mathematics

$5 \sqrt{5}$

Step-by-step explanation:

We want to find the distance between (-8,-4) and (2,-9).

We use the distance formula:

$d = \sqrt{ {(x_2-x_1)^2} +(y_2-y_1)^2 }$

We substitute the coordinates to get:

$d = \sqrt{ {(2- - 8)^2} +( - 9 - - 4)^2 }$

We simplify to obtain:

$d = \sqrt{ {(2 + 8)^2}+( - 9 + 4)^2 }$

Add the numbers within the parenthesis to get:

$d = \sqrt{ {(10)^2}+( -5)^2 }$

Find the squares of the numbers under the radical

$d = \sqrt{ {100}+25}$

$d = \sqrt{125} = 5 \sqrt{5}$

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Ответ:

JS28boss

29.03.2021

Mathematics

Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.

Step-by-step explanation:

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(-8,-4)& (2,-9) fint the distance between each pair of points

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