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andrey2020 [161]
3 years ago
12

DE is the perpendicular bisector of AC. PLEASE HELP WILL GIVE BRAINLIEST!

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Step-by-step explanation:

AB=BC

8x+6=6x+18

2x=12

x=6

so

AB= 48+6=54cm

BC=36+18=54cm

AD=CD

8y+20=12y-8

-4y=-28

y=7

so

AD= 84-8=76cm

CD=56+20=76cm

AE=2x+4y

AE=2×6+4×7

AE=40cm

AC=2×40=80cm

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A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu
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Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

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Collect like terms

f^2 - 48f + 16f = 0

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Factorize

f(f - 32) = 0

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f can not be 0 because some units must be ordered.

So, f = 32

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