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Lelu [443]
3 years ago
9

Please help 50 points! Simplify the expressed

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}  rewrite as multiplication

\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}  look to factor

\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}  , difference of 2 squares and perfect square

\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}, finish factoring and simplify

2(x+3)

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2 years ago
The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?
ArbitrLikvidat [17]

Answer:

AB=22\ units

Step-by-step explanation:

we know that

In this problem ABCD is a rectangle

so

DC=AB

BC=AD

Let

BC ---> the length of rectangle

DC ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(BC+DC)

we have

P=66\ units

so

66=2(BC+DC)

simplify

33=BC+DC ----> equation A

DC=2BC ----> equation B

substitute equation B in equation A

33=BC+2BC

Solve for BC

Combine like terms

33=3BC

Divide by 3 both sides

BC=11\ units

<em>Find the value of DC</em>

DC=2BC ----> DC=2(11)=22\ units

Remember that

DC=AB

therefore

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3 0
3 years ago
Find an equation of the line that passes through the points (-0.5,0.75) and (0.75,-0.5)
Keith_Richards [23]

The equation of the line can be shown using the slope intercept form that is

y= mx+b

where m is the slope and b is the y intercept

So firstly we have to find the value of slope m

To find the value of slope m we apply the formula

m= \frac{( y_{2} - y_{1})}{( x_{2} - x_{1})}

So we can plug the values using the two given points

(-0.5,0.75) and (0.75,-0.5)

m= \frac{(-0.5-0.75) }{(0.75-(-0.5))} = \frac{-1.25}{1.25} = -1

So m = -1

Plug m=-1 in the equation we get

y= -1x +b

Now we have to find the value of b

to find the value of b , we plug any one pint in the equation

0.75 = -1(-0.5) +b

0.75 = 0.5 +b

Subtract 0.5 from both sides

0.25 = b

or

b= 0.25

Now plug the value of b , in the equation

we get

y = -1x +0.25

hence the equation of the line is y = -1x +0.25

8 0
3 years ago
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