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70a + 55b = 905
a + b = 14
55a + 55b = 770
(70a-55a) + (55b-55b) = 905 - 770
15a = 135
a = 9
a + b = 14
9 + b = 14
b = 5
Answer:
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Step-by-step explanation:
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TRiangles ABE and ACD are similar because BE and CD are parallel.
Therefore CD / BE = AD / AE
8 / BE = 16 / 10
BE = 8*10 / 16 = 5
Also, 16 / 10 = AC / AB = 20 / AB
AB = 10 * 20 / 16 = 12,5
Perimeter of ABE = 5 + 10 + 12.5
= 27.5 units (answer)
The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
