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3 years ago

What value of b makes the polynomial below a perfect square?

2 answers:

8 0

The best and most correct answer among the choices provided by your question is the second choice or letter B. 12

Substituting b = 12:

x^2 + 12x + 36 = (x + 6) ( X + 6) ; therefore, a perfect square.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

lutik1710 [3]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The given polynomial is

$p(x)=x^2+bx+36$ .... (1)

A perfect square trinomial is

$(x+y)^2=x^2+2xy+y^2$ .... (2)

On comparing (1) and (2), we get

$b=2y$ .... (3)

$y^2=36$

Taking square root both the sides.

$y=6$

Put y=6 in equation (3).

$b=2(6)=12$

The value of b is 12, therefore the correct option is B.

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Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells

dlinn [17]

Answer:

$12d+34>100$

Step-by-step explanation:

Let d be the number of days.

We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.

We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: $12d+34$

As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:

$12d+34>100$

Therefore, the inequality $12d+34>100$ can be used to find the number of days, d, it will take Katie to collect over 100 seashells.

8 0

4 years ago

Read 2 more answers

110 is 60% of what number?

Zigmanuir [339]

Answer: 183.33

Step-by-step explanation:

We have, 60% × x = 110

or,

100

× x = 110

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 110 ×

100

x = 183.33

If you are using a calculator, simply enter 110×100÷60, which will give you the answer.

3 0

3 years ago

Read 2 more answers

Which number is irrational?<br> a. 0.14<br> b. 1/3<br> c. \sqrt{4}<br> d. \sqrt{6}

Whitepunk [10]

$a)\ 0.14 = \frac{14}{100}\ (rational)\\\\
b)\ \frac{1}{3}\ (rational)\\\\
c)\ \sqrt{4} = \sqrt{2^2}=\frac{2}{1}\ (rational)\\\\
d)\ \sqrt{6} = 2.4494897427...\ (irrational)$

6 0

3 years ago

On a scale drawing of a building, 1 inch represents 14 feet. If the height of the actual building is 49 feet, what is the height

san4es73 [151]

The answer is 3.5 inches for K12 test

All i did was see what coud make 49 feet.

since 1 inch = 14 feet then i did 3 x 14 which got 42.

I then just shuffled around numbers and got 3.5.

THE ANSWER IS 3.5

Very sorry if its wrong

8 0

3 years ago

Through (2,16) (-5,3) “Find the slope”

mario62 [17]

Answer:

the formula is M= y2-y1/ x2-x1

Step-by-step explanation:

x1=2

y1=16

x2=-5

y2=3

then just plug in to the formula and reduce if needed.

hope this helps

6 0

3 years ago