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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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Clevon forms a triangle with three straws measuring 20, 25, and 18 inches. To the nearest whole
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Answer:

Step-by-step explanation:

Let's label this triangle as triangle ABC.  Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C.  Use the Law of Cosines to find the missing angle.  You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options.  In our case,

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3 years ago
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