MATH SOLVE

4 months ago

Q:
# the coordinates of the endpoints of line RT are R (-6,-5) and T (4,0), and point 2 is on line RT. The coordinate of S are (-2,-3). Which of the following represents the ratio RS: ST

Accepted Solution

A:

The ratio of RS:ST will evaluated as follows:

RS=β[(-2-(-6))Β²+(-3-(-5)Β²)]

RS=β(4Β²+2Β²)

RS=β(16+4)

RS=β20

Next

ST=β[(4-(-2))Β²+(0-(-3))Β²]

ST=β[(6Β²+3Β²)

ST=β45

hence:

RS:ST

=β20/β45

=(2β5)/(3β5)

=2/3

thus the ratio is 2:3

RS=β[(-2-(-6))Β²+(-3-(-5)Β²)]

RS=β(4Β²+2Β²)

RS=β(16+4)

RS=β20

Next

ST=β[(4-(-2))Β²+(0-(-3))Β²]

ST=β[(6Β²+3Β²)

ST=β45

hence:

RS:ST

=β20/β45

=(2β5)/(3β5)

=2/3

thus the ratio is 2:3