Answer:

Step-by-step explanation:

To add the two fractions, you need a common denominator. In this case, the lowest common denominator (LCD) is 9y. That's because 9y is divisible by both 3y and 9y.
The first fraction must be changed so that its denominator is 9y. Do this by multiplying both numerator and denominator by 3.

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.
Answer:
C. y = 1/2x - 14
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line parallel to y
=
1
/2
x
−
8
.
y
=
1
/2
x
−
14 PARALLEL
...................................................................................................................................................
Find the negative reciprocal of the slope of the original line and use the point-slope formula y
−
y
1
=
m
(
x
−
x
1
) to find the line perpendicular to y
=
1
/2
x
−
8
.
y
=
−
2
x
−
29 PERPENDICULAR
Answer:
152.7 yd
Step-by-step explanation:
I presume that there is a fence around the perimeter and separating the various plots.
AG = BF = CE = 18 yd
GH = DE = 12 yd
EO² = DE² + DO²
1 5² = 12² + DO²
225 = 144 + DO²
81 = DO²
DO = 9
BC = DO = EF = 9 yd
AC = DH = EG = 17 yd
AO² = AB² + BO² = 8² + 6² = 64 + 36 =100
AO = √100 = 10 yd
CO² = BC² + BO² = 9² + 6² = 81 + 36 = 127
CO = √127 yd
GO² = FG² + FO² = 8² + 12² =64 + 144 = 208
GO = √208 = 4√13 yd
Fencing needed
= (AC + DH + EG) + (AG + BF + CE) + AO + CO + EO + GO
= (3 × 17) + 3 × 18) + 10 + √127 + 15 + 4√13
= 51 + 54 + 25 + 11.27 + 14.42
= 152.7 yd