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docker41 [41]
2 years ago
8

Please help! I will mark as brainliest IF answer is right. <3

Mathematics
1 answer:
fenix001 [56]2 years ago
6 0

Answer:

The length of the long side is 147 ft

The length of the short side is 30 ft

Step-by-step explanation:

L=5s-3

s= 324-2L

324=2(5s-3)+s

distribute

324=10s-6+s

simplify

324=11s-6

add 6 to both sides

330=11s

divide by 11

30=s

Plug in the s value to determine the length of the long side

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Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3
zalisa [80]
We have that
A(-2,-4)  B(8,1) <span>

let
M-------> </span><span>the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
        2                     3
distance AM is equal to (2/5) AB
</span>distance MB is equal to (3/5) AB
<span>so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
</span>Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
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Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

7 0
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