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3 years ago

- (-2(-x2)2) =

Mathematics

1 answer:

Tresset [83]3 years ago

3 0

Answer:

$-4x$

Step-by-step explanation:

you first distribute the negative sign or multiply by -1 and get $2[x*-2]*-2$ . you then distribute the 2 in front of the parenthesis to get $2x*-2$ . You then just multiply the whole thing by -2 to get you answer of $-4x$

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

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3 years ago

Which equation shows y=−12x+4 is in standard form? 2x + y = 8 2x−y=8 x + 2y = 8 x+2y=−8

drek231 [11]

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have:

$y=-\dfrac{1}{2}x+4$

Convert:

$y=-\dfrac{1}{2}x+4$ <em>multiply both sides by 2</em>

$2y=-x+8$ <em>add x to both sides</em>

$x+2y=8$

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3 years ago

You received a $178 per month raise. That was a 5% increase. What was your monthly salary before the increase? Show work please

zzz [600]

Answer: 169.52

Step-by-step explanation

%increase which is 5% =100 x final - initial

---------------------

initial

the initial is $169.52

and the final $178

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2 years ago

By first considering the angles on line abc show that ac is parallel to df

Finger [1]

Answer:

so you have to use interior and exterior angles to solve

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MAVERICK [17]

Answer:

Yes

Step-by-step explanation:

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