Question

Find the distance between the points (-2, -8) and (1,-4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answer 1

The distance between the points (-2, -8) and (1,-4).  Whole number or a fully simplified radical expression is $d=\sqrt{17}$

The formula may be used to determine the separation between two places.

$d=\sqrt{(x 1-x 2)^2+\left(y 1-y^2\right)^2}$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-2,-8) and (1,4)

The distance between them is

$&d=\sqrt{(-2+1)^2+(-8-(-4))^2}$

Apply rule -(-a)=a

$d=\sqrt{(-2+1)^2+(-8+4)^2}$

$(-2+1)^2=1$

$(-8+4)^2=4^2$

$d=\sqrt{1+4^2}$

$\begin{aligned}&4^2=16 \\&d=\sqrt{1+16}\end{aligned}$

Add the numbers:

$1+16=17 \\d=\sqrt{17}$

Mathematical statements are called expressions if they have at least two words that are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

Learn more about expressions https://brainly.com/question/14083225

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