Point H is on line segment G I ‾ GI . Given G H = 12 GH=12 and G I = 17 , GI=17, determine the length H I ‾ . HI

HI = 5 units

Step-by-step explanation:

We are given that:

Line segment GI has a point H on it such that the dimensions are given as:

GH = 12 units

GI = 17 units

To find:

Length of HI = ?

Solution:

As we are given that GI is a line segment that means GI is a straight line.

H is a point that lies on GI.

Kindly refer to the attached image for the given dimensions and given line.

Property of a straight line states that:

If there is a point that lies on the straight line segment that will divide the line in two parts such that the sum of length of two parts will be equal to the length of the line segment.

i.e.

GI = GH + HI

17 = 12 + HI

HI = 17 - 12 = 5 units

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15