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Nostrana [21]
3 years ago
9

Factor 4x2 + 24x + 36.

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer:

\huge\boxed{\text{A) } 4(x+3)(x+3) }

Step-by-step explanation:

In order to factor this, we need to factor out a common term and then solve for x.

We can see that we can factor out a 4 from this entire equation as each term is a multiple of 4.

This leaves us with 4(x^2+ 6x + 9).

We can now solve for x for the expression in the parentheses, x^2 +6x + 9.

To solve for x, we can use the <u>XBOX</u> method. This tells us that:

  • When the two roots are added, they will equal b (in this case, 6)
  • When the two roots are multiplied, they will equal c (in this case 9)

Experimenting with some numbers gets us with 3 and 3 - 3+3 = 6 and 3*3 = 9.

Therefore, our roots will be (x+3)(x+3).

Putting that back into the factorization of our original expression, that leaves us with 4(x+3)(x+3).

Hope this helped!

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Help! I really need to pass!
Dmitriy789 [7]

Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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4 0
3 years ago
Read 2 more answers
F ( x ) = -3 ( x + 4 ) ( x - 6 )
Sunny_sXe [5.5K]
Not sure what you’re asking, but, if you’re looking for the expanded form... hope that helps?

3 0
3 years ago
The length of a rectangle is 5 feet and the width is x the perimeter is less than 15 feet write and solve an inequality to find
topjm [15]

Answer:

5 ft * x ft

x ≤ 3 ft

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (4, 3) and (-4, -1)?
snow_lady [41]
It should be y=1/2x+1
3 0
3 years ago
What is the value of b in ax - by = -5
m_a_m_a [10]

Answer:

D,

Step-by-step explanation:

the is the value of b in ax -by =-5

D , cant isolate b

5 0
3 years ago
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