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Gelneren [198K]
3 years ago
12

Factor the expression 36s^2-25

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

(6x + 5) • (6x - 5)

Step-by-step explanation:

36x2-25

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22•32x2) -  25

Step  2  :

Trying to factor as a Difference of Squares :

2.1      Factoring:  36x2-25

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6

Check : 25 is the square of 5

Check :  x2  is the square of  x1

Factorization is :       (6x + 5)  •  (6x - 5)

Final result :

 (6x + 5) • (6x - 5)

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Answer:

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Step-by-step explanation:

2/4 is one half

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2/6 is greater than 2/8 but less than 2/4

4 0
3 years ago
What is the equation of the quadratic graph with a focus of (1 ,3) and a directrix of y=1?
zimovet [89]
Check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=1\\
k=2\\
p=1
\end{cases}\implies 4(1)(y-2)=(x-1)^2\implies 4(y-2)=(x-1)^2
\\\\\\
y-2=\cfrac{1}{4}(x-1)^2\implies y=\cfrac{1}{4}(x-1)^2+2

4 0
3 years ago
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p-value = 0.369

Step-by-step explanation:

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P-value = 2 X P( t(208) < - 0.90)  

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4 years ago
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Answer:the answer to this is 9

Step-by-step explanation:

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A car rental agency charges ​$32 per day to rent a car and ​$14.95 per day for a global positioning system​ (GPS). Customers are
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Answer:

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Step-by-step explanation:


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