Answer:

Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
the two lengths= 194 each side
teh two widths= 49 on each side
194+194+49+49= 486
Step-by-step explanation:
486= 2l+2w
l=4w-2
486-2w=2l -divide that by 2
243-w=l
243-w=4w-2
245=5w -divide that by 5
49=w
l=4(49)-2
l=194
w=49
here the equation of path is -2x-7=y
let us find slope of this line by using y=mx+b
so slope m=-2
now new path is perpendicular to this path.
product of slopes of perpendiculars is -1
so slope of new path is 1/2
now it passes through (-2,-3) with slope 1/2
using y=mx+b to get value of b
-3=1/2(-2) +b
b=-2
plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as
y=(-1/2) x -2 is the equation of new path
Answer:
Step-by-step explanation:
<u>The first equation:</u>
<u>The second equation:</u>
<u>Convert to slope-intercept form:</u>
- x + 2y = 23 ⇒ 2y = -x + 23 ⇒ y = -1/2x + 11.5
- 2x + 3y = 39 ⇒ 3y = -2x + 39 ⇒ y = -2/3x + 13
<em>The graph is attached</em>
<u>Intersection point is (9, 7)</u>
- Adult tickets cost $9
- Child tickets cost $7