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Elodia [21]
3 years ago
5

Factor the expression below. x2 - 6x + 9 A. 3(x2 - 2x + 3) B. (x - 3)(x + 3) C. (x + 3)(x + 3) D. (x - 3)(x - 3)

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

For this case we must factor the following quadratic expression:

x ^ 2-6x + 9

To factor, we must find two numbers that when multiplied give as result +9 and when added or subtracted give as result -6.

These numbers are:

-3 and -3

-3-3 = -6\\-3 * (- 3) = + 9

So, we have:

(x-3) (x-3)

ANswer:

Option D

Kay [80]3 years ago
8 0

<u>Answer:</u>

D. (x - 3)(x - 3)

<u>Step-by-step explanation:</u>

We are given the following expression and we are to factorize it:

x^2-6x+9

Finding factors of positive 9 such that when added they give a result of -6.

x ^ 2 - 6 x + 9

x ^ 2 - 3 x - 3 x + 9

Factorizing them to get:

x ( x - 3 ) - 3 ( x - 3 )

( x - 3 ) ( x - 3 )

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A right triangle is graphed on a coordinate plane. Find the length of the hypotenuse. Round your answer to the nearest tenth. ​
Hoochie [10]

Answer:

7.6

Step-by-step explanation:

From the graph, we know the lengths of two legs.

  a = 3

  b = 7

Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember,  a^2 + b^2 = c^2)

c = √a2 + √b2  

= √(7)2 + √(3)2

= √49 + √9

= √58

= 7.6

8 0
3 years ago
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9.57

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3 years ago
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
soldier1979 [14.2K]

Answer: The first 6 terms are = 8, 10, 12,14,16,18

Step-by-step explanation:

The NTH term of an Arithmetic Sequence is given as

an = a1 + (n - 1 ) d

where a1 = First term  given as 8 and

d=  common difference given as 2

Therefore  We have that

the first term

an = a1 + (n - 1 ) d = 8+(1-1) 2

a1= 8

second term=

an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2

= 8+ 2(1) = 10

3rd term

an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2

= 8+ 2(2)= 8 + 4=12

4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

= 8+ 2(3)= 8+6=14

5th term

an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2

= 8+ 2(4)=8+ 8=16

6th term

an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2

= 8+ 2(5)=8 +10 =18

6 0
3 years ago
Which table has greater constant of proportionality?
marissa [1.9K]

The table with greater proportionality is table 3.

<h3>What is constant proportionality?</h3>

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

Learn more about this constant of proportionality here:

brainly.com/question/8598338

#SPJ1

8 0
2 years ago
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