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what is the distance between points D and H? Round to the nearest tenth of a unit. A.)3.7 units B.) 5.2 units C.)7.3 units D.)9.4 units PLEASE HELP

what is the distance between points D and H Round to the nearest tenth of a unit A37 units B 52 units C73 units D94 units PLEASE HELP class=

Respuesta :

iGreen
Use the distance formula.

[tex] \sf\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

(1, 3), (9, 8)
x1 y1  x2 y2

[tex] \sf\sqrt{(9 - 1)^2 + (8 - 3)^2} [/tex]

[tex] \sf\sqrt{(8)^2 + (5)^2} [/tex]

[tex] \sf\sqrt{64 + 25} [/tex]

[tex] \sf\sqrt{89} [/tex]

[tex] \sf\approx 9.4 [/tex]

Answer

Find out the  distance between points D and H .

To prove

Now apply the distance formula

[tex]Distance\ formula = \sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2}}[/tex]

The points be  D (1,3)and H (9,8)

Put in the formula

[tex]DH = \sqrt{(9 -1)^{2} +(8 -3)^{2}}[/tex]

[tex]DH = \sqrt{(8)^{2} +(5)^{2}}[/tex]

[tex]DH = \sqrt{64+25}[/tex]

[tex]DH = \sqrt{89}[/tex]

As

[tex]\sqrt{89} = 9.4(approx)[/tex]

DH = 9.4 units (approx)

Option (D) is correct .