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mart [117]
3 years ago
8

Write the​ point-slope form of the​ line's equation satisfying the given conditions. Then use the​ point-slope form of the equat

ion to write the​ slope-intercept form of the equation.
Slope equals=4​, passing through ​(6​,2​)
Mathematics
1 answer:
Monica [59]3 years ago
6 0
Point slope form: (y-2) = 4(x-6)
Slope-intercept form: y=4x-22
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Help me for 20 points
Radda [10]

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

4 0
3 years ago
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Which statement best reflects the solution(s) of the equation?
Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0

Now, factoring the term:

x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
3 years ago
Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is
omeli [17]
Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD      Length of QRST
-----------------------  =  ------------------------- 
Width of ABCD         Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5


8 0
3 years ago
How can I write a story about the doubles plus 2 fact 5+7=12.??
aksik [14]
One <u>possible story</u> is:

I had 5 apples.  My sister gave me 7, and now I have 12.

Explanation:

We are writing a story for 5+7=12.  This means we need to start with 5 objects and somehow gain 7 more.  In our story, we start with 5 apples and we get 7 more.

The last part is that our total must be 12.  In our story, we end with 12 apples.
3 0
3 years ago
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PLEASE HELP!!!!! Find the volume of a cone that has a diameter 30ft and a height of 12ft.
Leviafan [203]

Answer:

the answer is 2827.4

Step-by-step explanation:

\pi \:  {r}^{2}  \frac{h}{3}

5 0
3 years ago
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