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Alex
4 years ago
6

Find an equation for the family of linear functions with slope 2 and sketch several members of the family

Mathematics
1 answer:
PIT_PIT [208]4 years ago
8 0
 f(x)=2x+b. the general eqtn is y=2x+b where b can be +ve or -ve. If you draw y = 2x, you get a line of slope 2, passing through the origin. The line y = 2x+3 is parallel to y = 2x, and cuts the y-axis at y = 3. Similarly, the line y = 2x-1 is parallel to y = 2x, and cuts the y-axis at y = -1. You do not need any points to sketch them on our graph: the lines you draw must just be parallel to y = 2x
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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
3 years ago
Plz help I need help
VMariaS [17]

Answer:

the answer is C) 7 and -7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate the radical.<br><br> 1000−−−−√3
scoray [572]
( 1000 )^1/3 
= ( 10 ^3 )^ 1/3

= ( 10 ) ^ 3 × 1/3

= 10

I hope this will useful to you.
6 0
3 years ago
!urgent! need help with aleks
Vadim26 [7]

Answer:

$24 sold

Step-by-step explanation:

Omar sold 4

(4x6=24)

Debra sold 3

(3x8=24)

6 0
3 years ago
your primary jobs gross income is 3468.73/month deductions are fica (7.65%) federal tax witholding (11.5%) and state tax withhol
Dmitry_Shevchenko [17]
Sierah907 Your primary job’s gross income is $3,468.73/month. Deductions are FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.8%). How much are your fixed expenses if they are 36% of your realized income?


$1,388.65


$814.92


$912.21


$1,068.57





<span>To get your realized income you: add your deductions which equals to a total of 26.95%. 

Then you subtract that amount  from your gross income. 
(3468.72 - 26.95% = 2533.91) 

 After that you need to find what 36% of your realized income equals to: 

and it equals to, 912.20. 

Therefore, your answer is C.




Answer 2: </span>

our deductions are 7.65% , 11.5% and 7.8% . Total 26.95% .

So deduct that from your Gross . $3468.73 - 26.95% leaves you with $ 2533.91.
That's your Realized Income . $2533.91 .

So you need to find 36% of that . It's $912.20.

<span> And that is your answer . Your fixed expenses are $ 912.20 . </span>
4 0
3 years ago
Read 2 more answers
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