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charle [14.2K]
3 years ago
7

Factor x2 - 18x + 81. Show your work

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
4 0
To factorise it start with putting the xs in brackets.
(x )(x )
Then you must find 2 numbers which multiply to +81 and sum to -18.
81 is the product of 9×9 or -9×-9.
9+9=+18
-9+-9=-18
So they two numbers must be -9.
So factorised it is (x-9)(x-9) or (x-9)^2
Korvikt [17]3 years ago
4 0
(x - 9)^2

Whenever dealing with a problem like this the first thing you should consider is a square in the last term. Factoring trinomials is always a guess and check procedure, but there are multiple tips to enhance and quicken your guessing. When the last term is a positive square, find the square root of it and double it. Chances are, that result will be the middle term. It is only a matter of addition of subtraction now. If the middle term is negative then it is a subtraction, and if the middle term is positive then vice versa. 

81 is a positive square and the square root is 9. By doubling it you get 18. The middle term is negative, so the binomial squared is (x - 9). Hope this helps!
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When is the product of two nonzero integers less than or equal to both of the two factors
Anna11 [10]
The product of two nonzero integers is less than or equal to the both of the factors when one of them is positive and the other is negative. 

For example:-

x = 9 \\ 
y = -5 \\ \\ 
Then, \\
xy = 9*(-5) = -45 \\ \\ 
Here, \\ 
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5 0
3 years ago
Can someone help me with this one ?
Shalnov [3]

Step-by-step explanation:

Using pythagoras theorem

9^2 - 6^2 = x^2

Therefore X^2 = 81 - 36

= 45

Thus X = √45

X = 6.71

5 0
3 years ago
1. What is the value of 668 + 575 + 453, rounded to
Brums [2.3K]

Answer:

E. 1,700 is your answer.

Step-by-step explanation:

What you do is you add 668 + 575 + 453 together.

668 + 575 + 453 = 1,696.

The hundreds place is the 9. Since the 9 is bigger than 4 it gets rounded up. That means the 6 in front of the 9 becomes a 7 and 9 and 6 become a zero.

E. 1,700 is your answer.

6 0
3 years ago
if the radius of one of the semi-circles is 7 meters what is the circumference of one of the semi-circles​
Yanka [14]

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Step-by-step explanation:

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ur welcome

3 0
3 years ago
NO LINKS!!!!
DedPeter [7]

9514 1404 393

Answer:

  3. vertical stretch by a factor of 2; shift right 1 and down 1

  4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

  y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

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3. (a, h, k) = (2, 1, -1)   ⇒   vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4)   ⇒   no vertical stretch; shift left 4, up 4

6 0
3 years ago
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