1.Find the coordinates of the midpoint of __ given that H (-1,3) and X (7,1). HX A.(3,1) B (0,4) C(-3,1) D(-4,0) 2. Find the distance between the points R(0,5) and S(12,3). roun…

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asked Apr 28, 2018 1.8k views

2 Answers

Daniel Mylian · Answer 1 · 2018-05-02T15:46:45+0000

Answer:

1. (3, 2)

2. Option C. 12.2

3. Option A. 165 units

Explanation:

1. The midpoint of two coordinates (x₁, x₂) and (y₁, y₂) is calculate by,

(x, y) = ((x_(1) + x_(2))/(2),(y_(1) + y_(2))/(2))

⇒
(x, y) = ((-1 + 7)/(2),(3 + 1)/(2))

Thus (x, y) = (3, 2)

Hence, none of given options are true.

2. The distance between two coordinates is calculate by,

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

⇒ Distance = 12.16 ≈ 12.2 unit

Hence, option (C) is correct.

3. The distance between T(80, 20) and V(110, 85) is comparatively smaller than T(80, 20) and U(20, 60).

Using the Distance formula,

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

Distance between T(80, 20) and V(110, 85) is 71.59 unit

and Distance between U(20, 60) and V(110, 85) is 93.41 unit

So, Airplane firstly go to point V from point T and then point U.

Total shortest distance = 71.60 + 93.40 = 165 unit.

Hence, option (A) is correct.