Question

NEED HELP ASAP I WILL MARK YOU BRAINLIST

Answer 1

Answer:

The correct answer is: Option H: 14.4 units

Step-by-step explanation:

CD is a line segment and let M be the mid-point of the line segment.

As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point

Given

C( 2,-1) => (x1,y1)

M(8,3) => (x2,y2)

The distance formula is given by:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Putting the values

$|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211$

We know that

$CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4$

Hence,

The correct answer is: Option H: 14.4 units