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2 years ago

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Mathematics

1 answer:

masya89 [10]2 years ago

7 0

Answer:

See below

Step-by-step explanation:

x(x-2y)-(y-x)2

Final result :

-y2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x • (x - 2y) - (y - x)2

Step 2 :

2.1 Evaluate : (y-x)2 = y2-2xy+x2

Final result :

-y2

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The receip calls for 1 3/4 cups of brown sugar. if she makes 2 1/2 batches of cookies, how much brown sugar does she need

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16-3+5=? (order of operations). (show work).

a_sh-v [17]

Answer:

Step-by-step explanation:

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Cheers,

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3 years ago

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A tree casts a shadow 18 feet long. At the same time, a vertical rod 12 feet high casts a shadow 4 feet long. How long is the tr

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4 years ago

A circular pond is modeled by the equation x^2 + y^2= 225. A bridge over the pond is modeled by a segment of the equation x – 7y

serious [3.7K]

$x^2+y^2=225 \\
x-7y=-75 \\ \\
\hbox{solve the second equation for x:} \\
x-7y=-75 \ \ \ |+7y \\
x=7y-75 \\ \\
\hbox{substitute 7y-75 for x in the first equation:} \\
(7y-75)^2+y^2=225 \\
49y^2-1050y+5625+y^2=225 \\
50y^2-1050y+5625=225 \ \ \ \ \ \ \ \ \ |-225 \\
50y^2-1050y+5400=0 \ \ \ \ \ \ \ \ \ \ \ \ |\div 50 \\
y^2-21y+108=0 \\
y^2-9y-12y+108=0 \\
y(y-9)-12(y-9)=0 \\
(y-12)(y-9)=0 \\
y-12=0 \ \lor \ y-9=0 \\
y=12 \ \lor \ y=9$

$x=7y-75 \\
x=7 \times 12 -75 \ \lor \ x=7 \times 9-75 \\
x=84-75 \ \lor \ x=63-75 \\
x=9 \ \lor \ x=-12 \\ \\
(x,y)=(9,12) \hbox{ or } (x,y)=(-12,9)$

The points are (9,12) and (-12,9).
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Answer:

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Step-by-step explanation:

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