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Kamila [148]
3 years ago
11

Which of the following constants can be added to x^2-6x to form a perfect square trinomial

Mathematics
2 answers:
Shalnov [3]3 years ago
8 0

Answer:

9 is the constant that should be added to make the expression perfect square.

Step-by-step explanation:

The given expression is (x² - 6x)

We have to make this expression perfect square.

As we know the formula (a-b)² = a² + b² - 2ab

Now we will rewrite the expression given in the form of the formula.

[(x)² - 2 (3)x]

We find a as x' and b as 3

So by putting a = x and b = 3 in the formula we get

(x-3)² = x² + 3² -2(x)(3)

Therefore, 9 is the constant that should be added to make the expression perfect square.

Furkat [3]3 years ago
7 0
Take half of the coeff. of x (which is 6), and then square the result:  3^2 = 9.

Then  <span>x^2-6x  + 9 - 9, and

          x^2 - 6x + 9 is a perfect square trinomial.

</span>
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Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

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3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

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Step-by-step explanation:

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Flauer [41]
We need to understand how to set up the equation to solve this. If they are consecutive odd integers, that means they're two odd numbers that are next to each other, like 3 and 5 or 27 and 29. There's always a two-integer difference between the two numbers since they're both odd, so we'll use that to set up our equation. Let's make the smaller integer x. That will make the larger integer x+2, since there is a difference between them of 2. That means our equation is x+x+2=284 or 2x+2=284. When we subtract 2 from each side and then divide by two, we'll get x=141, the first integer. That means the two integers are 141 and 143.
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skelet666 [1.2K]

Answer:

c.

Step-by-step explanation:

The most appropriate headline is C. which was able to capture both the scientific approach for reporting research- based on probability- and the societal norm as well.

The report made us understand that, two things are correlated here:lack of insurance and an higher death risk among the populace.

It further went on to state the probability that these two may have a correlation.

The headline will avail the researcher of a research error as well as allay the fear of the general populace and and also prompt them to read the paper in order to know about the research.

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kvasek [131]

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Step-by-step explanation:

The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.

Hope this helps!

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