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uranmaximum [27]
3 years ago
14

Calculate the distance between the two points. C(3, 2) and E(7, -1)

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{5 \: units}}}}}

Step-by-step explanation:

Let C ( 3 , 2 ) be ( x₁ , y₁ ) and E ( 7 , - 1 ) be ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the</u><u> </u><u>distance</u><u> </u><u>between</u><u> </u><u>these</u><u> </u><u>two</u><u> </u><u>points</u>

<u>\boxed{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}</u>

<u>\dashrightarrow{ \sf{ \sqrt{ {(7 - 3)}^{2}  +  {( - 1 - 2)}^{2} } }}</u>

<u>\dashrightarrow{ \sf{ \sqrt{ {(4)}^{2} +  {( - 3)}^{2}  } }}</u>

<u>\dashrightarrow{ \sf{ \sqrt{16 + 9}}}</u>

<u>\dashrightarrow{ \sf{ \sqrt{25} }}</u>

<u>\dashrightarrow{ \sf{ \sqrt{ {(5)}^{2} } }}</u>

<u>\dashrightarrow{ \sf{ 5 \: units}}</u>

Hope I helped!

Best regards! :D

ipn [44]3 years ago
5 0

Answer:

5

Step-by-step explanation:

To find the answer, we draw a right triangle

the difference between the x coordinates is 4 and the difference in the y coordinates is 3

to find the hypotenuse we do

a^2+b^2=c^2

so

4^2+3^2=c^2

16+9

25=c^2 and the sqrt of 25 is 5 so

c=5

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