mathisfun13
  • mathisfun13
Find the distance from point A (3,-2) to point B (7,1)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
distance formula
ganeshie8
  • ganeshie8
distance = \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)
ganeshie8
  • ganeshie8
A (3,-2) to point B (7, 1) x1 y1 x2 y2

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ganeshie8
  • ganeshie8
plugin
anonymous
  • anonymous
1 Attachment
mathisfun13
  • mathisfun13
okay what about (3√7, 2√5) to point B (5√7, 5√5)
ganeshie8
  • ganeshie8
same formula
ganeshie8
  • ganeshie8
dont get distracted wid the radical signs. they will go away once u take square
mathisfun13
  • mathisfun13
okay
ganeshie8
  • ganeshie8
start by plugging them in the formula
mathisfun13
  • mathisfun13
i got (2√7) +(3 √5)
ganeshie8
  • ganeshie8
thats not all... keep going...
mathisfun13
  • mathisfun13
how do u square that tho?
ganeshie8
  • ganeshie8
\(\sqrt{ (2√7)^2 +(3 √5)^2}\)
mathisfun13
  • mathisfun13
do i square only the 7 and the 5?
ganeshie8
  • ganeshie8
\((2\sqrt{7})^2\)
ganeshie8
  • ganeshie8
square applies to both \(2\) and \(\sqrt{7}\)
ganeshie8
  • ganeshie8
\((2\sqrt{7})^2 = 2^2\sqrt{7} ^2\)
mathisfun13
  • mathisfun13
4√49+9√25
ganeshie8
  • ganeshie8
thats right !
ganeshie8
  • ganeshie8
but u can simplify more
ganeshie8
  • ganeshie8
\(\sqrt{49} = ?\)
mathisfun13
  • mathisfun13
7
ganeshie8
  • ganeshie8
\(\sqrt{25} = ?\)
mathisfun13
  • mathisfun13
5
ganeshie8
  • ganeshie8
yes
mathisfun13
  • mathisfun13
how do i put that in decimal form rounded to the nearest hundredth?
ganeshie8
  • ganeshie8
\(\sqrt{ (2√7)^2 +(3 √5)^2}\) \(\sqrt{ 4 (7) +9(5)}\)
ganeshie8
  • ganeshie8
\(\sqrt{ (2√7)^2 +(3 √5)^2}\) \(\sqrt{ 4 (7) +9(5)}\) \(\sqrt{ 28 +45}\)
ganeshie8
  • ganeshie8
\(\sqrt{ (2√7)^2 +(3 √5)^2}\) \(\sqrt{ 4 (7) +9(5)}\) \(\sqrt{ 28 +45}\) \(\sqrt{73}\)
ganeshie8
  • ganeshie8
use ur calculator and find \(\sqrt{73}\)
mathisfun13
  • mathisfun13
i got 73
ganeshie8
  • ganeshie8
yes, take square root of it
mathisfun13
  • mathisfun13
so √73?
ganeshie8
  • ganeshie8
yes, do u have calculator ?
mathisfun13
  • mathisfun13
yess
mathisfun13
  • mathisfun13
thats what it showed me. so then .73?
ganeshie8
  • ganeshie8
good :) take square root of 73 and see wat u get
ganeshie8
  • ganeshie8
|dw:1371532770688:dw|
ganeshie8
  • ganeshie8
On ur calculator keys, you should see a symbol like that...
ganeshie8
  • ganeshie8
thats the symbol for square root.
mathisfun13
  • mathisfun13
okay. i got 8.544003745317351
ganeshie8
  • ganeshie8
how do i put that in decimal form rounded to the nearest hundredth?
ganeshie8
  • ganeshie8
thats the decimal form. now you still need to round it to hundredth
ganeshie8
  • ganeshie8
8.544003745317351 ^
ganeshie8
  • ganeshie8
rounding to hundredth makes it : 8.54

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