Answer:
Step-by-step explanation:
5(3g-2)+8=58
5(3g-2)=58-8
5(3g-2)=50
3g-2=50/5
3g-2=10
3g=10+2
3g=12
g=12/3
g=4
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7x-(4x-15)=13
7x-4x-(-15)=13
3x+15=13
3x=13-15
3x=-2
x=-2/3
Original line: y=1/2x-9
Perpendicular lines have opposite slopes from the original lines. Since the original slope is 1/2, the perpendicular slope will be -2/1 or -2. The numbers switch places and switches from positive to negative.
New line: y=-2x+b
To solve for the y-intercept (b), plug the given coordinates (3,2) into the x and y spots in the equation:
2=-2(3)+b
Now, solve for b.
2=-6+b
Add 6 to both sides.
8=b
The y intercept is 8.
Now, your perpendicular line equation is:
y=-2x+8
I hope this helps :)
Area of paralellogram=legnth times height
l=legnth
h=height
area=96
lh=96
h is 4 less than l
h=-4+l
sub
l(-4+l)=96
-4l+l^2=96
minus 96 both sides
l^2-4l-96=0
factor
(l-12)(x+8)=0
set to zero
l-12=0
l=12
l+8=0
l=-8, imossible, legnth cannot be negative, disreagard this soultion
legnth=12cm
