Question

Find the distance from point A (3,-2) to point B (7,1)

Answer 1

distance formula

Answer 2

distance = \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)

Answer 3

A (3,-2) to point B (7, 1)
x1 y1 x2 y2

Answer 4

plugin

Answer 5

okay what about (3√7, 2√5) to point B (5√7, 5√5)

Answer 6

same formula

Answer 7

dont get distracted wid the radical signs. they will go away once u take square

Answer 8

okay

Answer 9

start by plugging them in the formula

Answer 10

i got (2√7) +(3 √5)

Answer 11

thats not all... keep going...

Answer 12

how do u square that tho?

Answer 13

\(\sqrt{ (2√7)^2 +(3 √5)^2}\)

Answer 14

do i square only the 7 and the 5?

Answer 15

\((2\sqrt{7})^2\)

Answer 16

square applies to both \(2\) and \(\sqrt{7}\)

Answer 17

\((2\sqrt{7})^2 = 2^2\sqrt{7} ^2\)

Answer 18

4√49+9√25

Answer 19

thats right !

Answer 20

but u can simplify more

Answer 21

\(\sqrt{49} = ?\)

Answer 22

7

Answer 23

\(\sqrt{25} = ?\)

Answer 24

5

Answer 25

yes

Answer 26

how do i put that in decimal form rounded to the nearest hundredth?

Answer 27

\(\sqrt{ (2√7)^2 +(3 √5)^2}\)

\(\sqrt{ 4 (7) +9(5)}\)

Answer 28

\(\sqrt{ (2√7)^2 +(3 √5)^2}\)

\(\sqrt{ 4 (7) +9(5)}\)

\(\sqrt{ 28 +45}\)

Answer 29

\(\sqrt{ (2√7)^2 +(3 √5)^2}\)

\(\sqrt{ 4 (7) +9(5)}\)

\(\sqrt{ 28 +45}\)

\(\sqrt{73}\)

Answer 30

use ur calculator and find \(\sqrt{73}\)

Answer 31

i got 73

Answer 32

yes, take square root of it

Answer 33

so √73?

Answer 34

yes, do u have calculator ?

Answer 35

yess

Answer 36

thats what it showed me. so then .73?

Answer 37

good :) take square root of 73 and see wat u get

Answer 38

On ur calculator keys, you should see a symbol like that...

Answer 39

thats the symbol for square root.

Answer 40

okay. i got 8.544003745317351

Answer 41

how do i put that in decimal form rounded to the nearest hundredth?

Answer 42

thats the decimal form. now you still need to round it to hundredth

Answer 43

8.544003745317351
^

Answer 44

rounding to hundredth makes it : 8.54