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olga_2 [115]
2 years ago
9

What value in place of the question mark makes the polynomial below a

Mathematics
1 answer:
mel-nik [20]2 years ago
5 0

Answer:

36

Step-by-step explanation:

Given

x² + 12x

To make the polynomial a perfect square

add ( half the coefficient of the x- term)²

= x² + 12x + 6²

= x² + 12x + 36

= (x + 6)² ← a perfect square

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Can you please help me solve these 6 problems? I don't know where to begin. I also don't know how to solve my work. Thank you.
allochka39001 [22]

Answer:

is it absolute vaule?

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
-18/-32/41/8/-11 from least to greatest
kifflom [539]

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

Positive integers have values greater than zero. Negative integers have values less than zero.

-32, -18, -11, 8, 41

5 0
3 years ago
You sign up for 13 weeks of swimming lessons. the total cost is $325. what is the cost per week?
maw [93]

To find the cost per week, divide the total cost by how many weeks you are signing up for.

Total cost / number of weeks = cost per week

$325 / 13 weeks = $25 per week

The cost per week is $25 for swimming lessons.

6 0
3 years ago
Read 2 more answers
What is 181.5% of 18?
inysia [295]

Answer:

32.67

Step-by-step explanation:

18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.

8 0
3 years ago
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