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tatiyna
3 years ago
9

Use completing the square to find the value to add that makes x^2 - 12x a perfect square trinomial. Then write the expression as

the square of a binomial.
Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

Step-by-step explanation:

If you want to make

x^2-12x

into a perfect square binomial, take half the linear term, square it, then add it to both sides.  Our linear term is 12.  Half of 12 is 6, and 6 squared is 36.

The value that makes this a perfect square binomial is 36.

Writing the expression as a square of the binomial is:

(x^2-12x+36)-->(x-6)^2

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When R2 is more useful than R in linear regression?
valina [46]
<span>Answer: Multiple R is the correlation between y and y^ in a regression model. It is always non-negative, but has no nice interpretation as a proportion of variance, unlike its square. I can't think of too many uses for it and only know of one stat package that routinely reports it, SPSS. Bivariate correlation only tells you about two variables at a time (though you can use partial correlation to remove other variables).</span>
6 0
3 years ago
How many triangles can be constructed with sides measuring 5 m, 16 m, and 5 m?
lianna [129]
There are two measures 5 cm then the triangle will be isosceles or 16 is far beyond 5 + 5 = 10 so we cannot build any triangle so te answer is <span>B none
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3 0
3 years ago
Need Help...
Rudik [331]
<span>|7x-7|+3 = 4x+1  ⇒⇒⇒ add (-3) to both sides
</span>
<span>∴ |7x-7| = 4x - 2
</span>
According to the absolute rule
∴ 7x - 7 = 4x - 2    OR    -(7x - 7) = 4x - 2                                 
    7x - 4x = 7 - 2      l     7x - 7 = -4x + 2                              
   3x = 5                   l     7x + 4x = 2 + 7                                         
  x = 5/3                   l     11 x = 9  ⇒⇒⇒  x = 9/11

∴ x = 5/3  and  9/11


So, the correct answer is option <span>B. 5/3 and 9/11</span>


5 0
3 years ago
What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
Aneli [31]
First of all we have to arrange the data in ascending order as shown below:

28, 40, 43, 43, 45, 50, 50

Total number of values = 7

Since the number of values is odd, the median will be the middle value i.e. 4th value which is 43. Median divides the data in two halves:

1st Half = 28, 40, 43
2nd Half = 45, 50, 50

Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
Q3 or the Third Quartile is the middle value of the upper or second half, which is 50.

IQR or the Inter Quartile Range is the difference of Q3 and Q1.

So, IQR= Q3 – Q1 = 50 – 40 = 10

Thus, IQR for the given data is 10
4 0
3 years ago
Read 2 more answers
Two sides of a right triangle measure 2 units and 4 units.
wel

Answer:

20

Step-by-step explanation:

using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20

4 0
3 years ago
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