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Darina [25.2K]
3 years ago
13

Simplify the expression and explain each step . 4(3x+2)-2

Mathematics
2 answers:
seraphim [82]3 years ago
4 0
Ok, so first we distribute "4" over 3x and 2. Distributing is basically multiplying the value next to the parenthesis by the values inside. From there, you get 12x+8-2. Then, you combine like terms, subtracting 2 from 8. The simplified expression is 12x+6!! :) Hope I helped!
Fofino [41]3 years ago
4 0

it will be

4(3x+2)-2

12x+8-2

12x+6

I Believe So


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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
NEED HELP ASAP I WILL GIVE BRAINLIEST
inn [45]

Answer: It's the second option

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The product of 25 and an unknown number is subtracted from 36. The result is -114.
svetlana [45]
Let x = the unknown number to get x = 6

3 0
3 years ago
2. Kelsea needs a test average of at least 90 to get an "A-" this marking period in math. Her three test grades
Luda [366]

Answer:

<u>Equation:  87 + 91 + 86 + x = 360</u>

<u>Solution: 264 + x = 360</u>

<u>x = 360 - 264</u>

<u>x = 96</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

First three Kelsea's test grades : 87, 91 and 86

2. What score must she get on her fourth test to receive at least an A- ?

Define variable:  x that represents the grade needed by Kelsea on her fourth test to receive at least an A-

Equation:  87 + 91 + 86 + x = 360

Solution: 264 + x = 360

x = 360 - 264

x = 96

<u>Now you can understand if the previous work you did is correct</u>

6 0
3 years ago
Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?
7nadin3 [17]

Answer:

You won't be in the negative but postive side of the graph

Step-by-step explanation:

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