find the DISTANCE between the two given points
1.(2,3) and (-1,4)
2.(-2,-2) and (0,-4)

Question

GENLAMPREAIN GENLAMPREAIN

Math

Answered

find the DISTANCE between the two given points
1.(2,3) and (-1,4)
2.(-2,-2) and (0,-4)

Sagot :

In Studier: Other Questions

Ano Kaya Ang Pagkakapareho At Pagkakaiba Ng Dalawang Panukat Ng Pambansang Kita ?.

Bakit Patuloy Na Lumalaganap Ang Mga Kaso Ng Paglabag Sa Karapatang Pantao Sa Kabila Ng Matinding Kampanya Laban Dito?pasagot Po Plssss

Paano Nabubuo Ang Pagkakakinlang Pilipino?ano Ang Kaugmayan Nito Sa Kultura?

What Is The Probability That The Random Variable X Is Less Than 20 ?

Look At The Picture Above [tex] \: [\tex]1. Panimula (Mungkahing Oras: 5 Minuto) A. Masadan At Suriin Ang Mga Larawan Sa Ibaba - ( Pictures Up Above ) Ang Ba

Ilang Grupo Ng Maang Aawit Sa Are You Sleeping

Find Out What Will Happen When You Connect A Low Battery Mobile Cell Phone To An Electrical Socket.

Pagbigay Ng KAHULUGAN:Ibigy Ang Kahulugan Ng Nasyonalismo

Paki Answer Po Need Kopo Now

Ano Ang Magalang Na Pahayag Na Karaniwang Ginagamit Sa Pagbibigay Reaksiyon? A. Sumasang Ayon Po Ako Sa Isyu B. Sumasang Ayon Ako Sa Isyu C. Tutol Ako Sa Sinabi

What Do You Think Is The Special Message That You Have To Deliver To Your FAMILY, SCHOOL And To THOSE BATTERED WIVES?

4. In A Particular Process, The Internal Energy Of A System Increases By 41.4 J And The Quantity Of Work The System Does On Its Surroundings Is 81.2 J. a. Is He

HISOKIGRPNXIN HISOKIGRPNXIN · Answer 1

FINDING DISTANCE BETWEEN TWO POINTS

[tex] \: [/tex]

[tex]======================[/tex]

[tex]{\underline{\huge \mathbb{D} {\large \mathrm {IRECTION : }}}}[/tex]

[tex] \quad [/tex] Find the distance between the given two points

[tex] \: [/tex]

[tex]\orange{\underline{\qquad\qquad\qquad\qquad \qquad \qquad \qquad \qquad \qquad }}[/tex]

[tex]{\underline{\huge \mathbb{A} {\large \mathrm {NSWERS : }}}}[/tex]

(2,3) and (-1, 4) = [tex] \boxed{\green{\; \sqrt{2\; } \;}} [/tex]
(-2,-2) and (0,-4) = [tex] \boxed{\green{\; 0 \;}} [/tex]

[tex]\orange{\underline{\qquad\qquad\qquad\qquad \qquad \qquad \qquad \qquad \qquad }}[/tex]

[tex]{\underline{\huge \mathbb{S} {\large \mathrm {OLUTIONS : }}}}[/tex]

[tex]\red {\mathcal{FORMULA:}}[/tex]

[tex]{\boxed{\sf{\blue{d = \sqrt{{(x_2 \; - \; x_1)}^{2}+{(y_2 \; - \; y_1)}^{2}}}}}}[/tex]

[tex] \: [/tex]

—————————————————

[tex] \: [/tex]

[tex]\red {\mathcal{GIVENS \; FOR \; \# 1:}}[/tex]

(2, 3)

(1, 4)

[tex] \: [/tex]

[tex] [Sol:] [/tex]

[tex]d = \sqrt{{(x_2 \; - \; x_1)}^{2}+{(y_2 \; - \; y_1)}^{2} \; } [/tex]

[tex] \quad = \sqrt{{(1 \; - \; 2)}^{2}+{(4\; - \;3)}^{2} \;} [/tex]

[tex] \quad = \sqrt{{(-1)}^{2}\; + \;{(1)}^{2} \; } [/tex]

[tex] \quad = \sqrt{1 \; +\; 1 \;} [/tex]

[tex] \quad = {\boxed{\green{\sqrt{2 \;}\rm{\; units \;}}}} [/tex]

[tex] \: [/tex]

[tex]\red {\mathcal{FINAL \; ANSWER:}}[/tex]

• Thus, the distance between point (2, 3) and point (-1, 4) is [tex]{\underline{ \sqrt{2}}}[/tex] units.

[tex] \: [/tex]

—————————————————

[tex] \: [/tex]

[tex]\red {\mathcal{GIVENS \; FOR \; \# 2:}}[/tex]

(-2, -2)

(0, -4)

[tex] \: [/tex]

[tex] [Sol:] [/tex]

[tex]d = \sqrt{{(x_2 \; - \; x_1)}^{2}+{(y_2 \; - \; y_1)}^{2} \; } [/tex]

[tex] \quad = \sqrt{{[0 \; - \; (-2)]}^{2}+{[(-4) \; - \; (-2)]}^{2} \;} [/tex]

[tex] \quad = \sqrt{{(2)}^{2}\; + \;{(-2)}^{2} \; } [/tex]

[tex] \quad = \sqrt{4 \; +\; 4 \;} [/tex]

[tex] \quad = \sqrt{8 \;} [/tex]

[tex] \quad = {\boxed{\green{\; 2 \sqrt{2 \;} \rm{units}\; }}} [/tex]

[tex] \: [/tex]

[tex]\red {\mathcal{FINAL \; ANSWER:}}[/tex]

• Thus, the distance between point (-2, -2) and point (0, -4) is [tex] \underline{2 \sqrt{2}} [/tex].

[tex] \: [/tex]

[tex]======================[/tex]

[tex] - \large\sf\copyright \: \large\tt{Hisoki}[/tex]