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Kamila [148]
3 years ago
12

Find the value of n such that x^2-19x n is a perfect square trinomial.

Mathematics
2 answers:
Marianna [84]3 years ago
6 0
B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2
Alex17521 [72]3 years ago
3 0

Answer:  The correct option is (b) \dfrac{361}{4}.

Step-by-step explanation:  We are given to select the correct value of 'n' such that x^2-19x+n becomes a perfect square trinomial.

The standard form of a perfect square trinomial is

(x+a)^2=x^2+2a+a^2.

Now, we can write

x^2-19x+n\\\\=x^2-2\times x\times \dfrac{19}{2}+\dfrac{361}{4}+n-\dfrac{361}{4}\\\\\\=(x-\dfrac{19}{2})^2+n-\dfrac{361}{4}.

So, for the given expression to be perfect trinomial,

n-\dfrac{361}{4}=0\\\\\Rightarrow n=\dfrac{361}{4}.

Thus, (b) is the correct option.

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Zarrin [17]

Answer: Pink choice: y= -6x -2

Step-by-step explanation:

In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. <em>("co-efficient" of x in math talk)</em>

In the given equation, that is -6.  (So that knocks out the first two choices)

The other thing to look at is the y-value of the given coordinate,(-1,4)

<em>(The y-value is the second number in the coordinate (x.y) is the pattern)</em>

and compare it to the the last number in the equations in the choices and     Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because  +4 in this equation is where the line crosses the y-axis. ("y-intercept"  in math talk)  So yellow choice is out!

The attachment shows what the graphs of the choices look like.

The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3)   And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)    

I hope the diagram and explanation helps you understand better. It can be confusing.

6 0
2 years ago
At the Beijing Olympics,
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6 0
3 years ago
A package of 25 wristbands cost $5.25. At this rate, what is the cost of 1 wristband in dollars and cents?
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Answer:

$0.21

Step-by-step explanation:

We can set up a proportion. Say x is the cost of 1 wristband:

\frac{5.25}{25} =\frac{x}{1}

Now, we cross multiply:

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Solving for x, we see that x = 0.21.

Thus, the answer is $0.21.

6 0
2 years ago
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