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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. A.)3.7 units B.) 5.2 units C.)7.3 units D.)9.4 units PLEASE HELP class=

Verified Answer :

iGreen

Use the distance formula.

\(\sf\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

(1, 3), (9, 8)
x1 y1  x2 y2

\(\sf\sqrt{(9 - 1)^2 + (8 - 3)^2}\)

\(\sf\sqrt{(8)^2 + (5)^2}\)

\(\sf\sqrt{64 + 25}\)

\(\sf\sqrt{89}\)

\(\sf\approx 9.4\)

Answer

Find out the  distance between points D and H .

To prove

Now apply the distance formula

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

The points be  D (1,3)and H (9,8)

Put in the formula

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

\(DH = \sqrt{(8)^{2} +(5)^{2}}\)

\(DH = \sqrt{64+25}\)

\(DH = \sqrt{89}\)

As

\(\sqrt{89} = 9.4(approx)\)

DH = 9.4 units (approx)

Option (D) is correct .



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