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Arturiano [62]
3 years ago
9

Find the smallest value of k if 264k is a perfect square

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
Try factoring this first.
264k = 132*2k = 11*12*k = 11*3*2*2*k 
To get a perfect square, you are going to have to have an even number of prime factors. 
You have one 11 and one 3. You are going to have to do something about those two.
k = 11 * 3 <<<<< ======= answer.

Now put that into 264k and you get 11 * 3 * 2 * 2 * 11 * 3 which is a perfect square. 11^2 * 3^2 * 2^2 = 4356

The square root of 4356 = 66 
4356 is a perfect square when 33 = k.

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Answer:

A. 3.0 m/s

Step-by-step explanation:

Based on the graph,

velocity = Area of the graph

v =  \frac{y1 - y2}{x1 - x2}

(y : position and x : time)

Let y1 = 2m and y2 = 14m,

t1 = 0s and t2 = 4s

v = (14 - 2)m/(4-0)s

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3 years ago
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Given the trinomial, what is the value of the coefficient 'B' in the factored form?
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Answer:

B=9  (I'll solve right now, just so you get the answer)

Step-by-step explanation:

2x^2+14xy-36y^2=2(x+By)(x-2y)

Expand right side by distributing

(2x+2By)(x-2y)

Use the FOIL method to simplify (first, outside, inside, last):

(a+b)(c+d)=ac+ad+bc+bd

(2x*x)+(2x*(-2y))+(2By*x)+(2By*(-2y))\\\\

Simplify

2x^2-4xy+2Byx-4By^2

Re-insert

2x^2+14xy-36y^2=2x^2-4xy+2Byx-4By^2

Cancel out 2x^2

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Move all terms to one side

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Simplify

18xy-36y^2-2Byx+By^2=0

Factor out the common term 2

2(9xy-18y^2-Byx+2By^2)

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3 years ago
The measure of an angle is 8 times the measure of its complement. tina writes an equation and finds the correct measure of each
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With all this information, you should have the equation:

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To solve, combine like terms to get:

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Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees. 
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