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wlad13 [49]
3 years ago
14

Please help me solve this #algebra #algebra1

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

Answer:

h = 430

Step-by-step explanation:

1290 = h/10 + h/5             Make h/5 into something that is something / 10

1290 = h/10 + 2h/(5*2)     Clean up the brackets.

1290 = h/10 + 2h/10         Add the right.

1290 = 3h/10                    Multiply both sides by 10

1290*10 = 10(3h/10)          

12900 = 3h                       Divide both sides by 3

h = 430

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Answer:

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Step-by-step explanation:

if the relationship between area and width is

A = 80*w − w²

for an area A=700 m² , we have

700 m² = 80*w − w²

w² - 80*w + 700 m² = 0

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this quadratic equation has as solution the following formula

w = [-b ± √ ( b² - 4*a*c) ]/(2*a)

replacing values

w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2

then

w₁=(80 - 60)/2 = 10 m

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since the area has the form A= length * width = 80*w − w² = (80− w)*w

then the length of the rectangle is

length = 80− w

for w₁=10 m → length = 80− 10 = 70 m

for w₁=70 m → length = 80− 70 = 10 m

by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .

Thus the width is 10 m

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