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I WILL MARK BRAINLIEST TO A CORRECT AND EXPLAINED ANSWER!!!!
Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

A. 4.54 units
B. 5.00 units
C. 5.83 units
D. 34.00 units

I WILL MARK BRAINLIEST TO A CORRECT AND EXPLAINED ANSWERLook at points C and D on the graph What is the distance in units between points C and D Round your answ class=

Respuesta :

Skøll1922
C(-4;3)
D(1:0)

Image the right triangle between C, D and the point A(-4,0)

CA is 3-0=3; AD is 1-(-4)=1+4=5

CD is √3²+5²=√34=5.8309...

Answer:

Option C.

Step-by-step explanation:

Coordinates of the points C and D are (-4, 3) and (1, 0)

We have to find the distance CD.

Distance CD = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]

CD = [tex]\sqrt{(1+4)^{2}+(0-3)^{2}}[/tex]

     = [tex]\sqrt{25+9}[/tex]

     = [tex]\sqrt{34}[/tex]

     = 5.83 units

Therefore, Option C. distance CD = 5.83 units is the answer.

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