Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Answers

Answer 1

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.


Related Questions

s the function represented by the table non-linear?

x
y
6
4
7
2
8
0
9
–2

Answers

All personnel decisions require the approval of the union, _______ the company slow to respond to market changes.

Select one:
A. making
B. will make
C. makes
D. made

On a map, 1 in represents 420 miles. How much does 3/4 in represent?

Answers

Answer:

315

Step-by-step explanation:

420 x 3/4 = 315

Answer:

315 miles

Step-by-step explanation:

We can write a ratio to solve

1 inch          3/4 inches

------------   = ---------------

420 miles     x miles

Using cross products

1 * x = 420 * 3/4

x=315

The ratio of Mitchell's age to Connor's age is 8:5. In thirty years, the ratio of their ages will be 6:5. How much older is Mitchell than Connor now?

Answers

Answer:

9 years older

Step-by-step explanation:

The ratio of their ages is 8 : 5 = 8x : 5x ( x is a multiplier )

In 30 years their ages will be 8x + 30 and 5x + 30 and the ratio 6 : 5 , so

[tex]\frac{8x+30}{5x+30}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

5(8x + 30) = 6(5x + 30) ← distribute parenthesis on both sides

40x + 150 = 30x + 180 ( subtract 30x from both sides )

10x + 150 = 180 ( subtract 150 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Then

Michell is 8x = 8 × 3 = 24 years old

Connor is 5x = 5 × 3 = 15 years old

Mitchell is 24 - 15 = 9 years older than Connor

what must be subtracted from 61 to get 5

Answers

Answer: 56

Step-by-step explanation:

Let x be the number that is supposed to be subtracted from 61.

Given

61 - x = 5

Add both sides by x

61 - x + x = 5 + x

61 = 5 + x

Subtract 5 on both sides

61 - 5 = 5 + x - 5

x = 56

Hope this helps!! :)

Please let me know if you have any questions

What should I write?​

Answers

Step-by-step explanation:

Let's say we have (m*x+d)², with m and d representing constant values (a number). If we expand, we can see that

(m*x+d)² = (m*x+d) * (m*x+d) = m²*x²+2*m*x*d + d². Matching that up with

ax²+bx+c, the value multiplied by x² in our factored perfect square is m² (so m²=a), the value multiplied by x is 2md ( so 2md = b), and the constant is d².

Going back to the problem, we want to see how the values of a and c correspond with a perfect square trinomial. In our perfect square of (m*x+d)², our resulting trinomial has m² = a and d² = c. This points to the fact that a must be a square of something (for example, if a = 1, √1=1, so this works) as well as c if they are part of a perfect square trinomial. If a and c are both squares of other numbers, then it is possible that ax²+bx+c is a perfect square trinomial. If they are not, then it is not possible

ayone amos right now gonna be answering : yungbreezyf2

Answers

ill add you if you follow my t i k t o k(:

Is (7,0) a solution to the equation y = x - 2?

Answers

Answer:

no

Step-by-step explanation:

because 7-7=0 and it doesn't subtract by 2

it is not equal to y=x-2

Answer:

no

Step-by-step explanation:

y = x-2

Let x = 7 and y=0

0 = 7-2

0 =5

This is not a true statement so (7,0) is not a solution

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

Answers

Answer:

80

Step-by-step explanation:

Let's write out the equation:

8(20+80/2)/[(54/9+14)/4]

For the first part we get 8(100/2)

Then 50x8

Then 400

For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS

Then 20/4

Then 5

So our final answer is 400/5 which is 80.

Hope this helps!

The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

What is function?

A function is a relation between a dependent and independent variable.

We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the mathematical statement as -

(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]

We can write the given statement in the form of mathematical expression as -

{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]

Simplifying, we get -

{x} = {100/16} ÷ {54/23}/4

{x} = 100/16 ÷ 54/92

{x} = 100/16 x 92/54

{x} = 10.64

Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].

To solve more questions on functions, visit the link below-https://brainly.com/question/30194223

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Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?

Answers

The type of budget that would likely work best for Brody is biweeky budget.

Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.

The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he  can schedule his expenses each time he receives his payment, in this way he  does not spend all his money before he receives the next payment.

Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.

Learn more in: https://brainly.com/question/141889

Note:

This question is incomplete because options are missing, here are the options.

Daily budget

Biweekly budget

Monthly budget

Weekly budget

What is the probability of an event that is certain?

PLEASE HELPPP!!

Answers

Answer:

I think it would be 100%

Step-by-step explanation: because it is certain that means its going to happen

Write and solve a word problem that can be modeled by addition of two negative integers.

Answers

Answer:

Step-by-step explanation:

Question:

Max needs to purchase a car and  withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?

Solution:

(-100) + (-50) =

-150

Answered by G a u t h m a t h

20. PLEASE HELP ME
Solve the equation using the zero-product property.

(x-8)(5x-6)=0

A. x = 8 or x = -1 1/5

B. x = –8 or x = 1 1/5

C. x = –1 or x = 5

D. x = 8 or x = 1 1/5

Answers

Answer:

D. x = 8 or x = 1 1/5

Step-by-step explanation:

x = 8 6/5

x = 8 1/5

zero-product property says to equate each factors to 0 .

so the factors in (x − 8)(5x − 6) = 0

are (x-8) and (5x-6)

hence equating them to 0

x-8 =0 or 5x-6 =0

x=8  or 5x=6

x=8 or x=6/5

x=8 or x= 1 and 1/5

Answer:

b) X =8 of X =11/5 is your answer

solue for &
X(3 + X) = 3x + x²

Answers

3x+x^2=3x+x^2

3x-3x=x^2-x^2

which means x=0

Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12

Answers

Answer:

4+2x = 12

Step-by-step explanation:

sum means add an is means equal

4+2x = 12

Answer:4 + 2x = 12

Step-by-step explanation:

the sum of 4 and twice a number is 12:

Have a great day! I hope this helps!! :)

If we are given the value of α. How can we find the value of β?

Answers

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

Use the information in the figure. If F=116, find E

58
32
116
64

Answers

Step-by-step explanation:

Given that,

m∠F = 116°

We have to find the value of mE.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, E and D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

m∠E = 32°

[tex] \\ [/tex]

~

17. PLEASE HELP ME
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.

A. length = 16 yd, width = 22 yd

B. length = 16 yd, width = 10 yd

C. length = 22 yd, width = 16 yd

D. length = 10 yd, width = 16 yd

Answers

Answer:

b

Step-by-step explanation:

16x10=160

Your width should be 6yd longer so look at the options and see in which options the width is 6 yd longer. It is longer in option A and D, so this eliminates option B and C. Now that we know it’s not b or c, the width times the length should be 160. For option A the area is 352 not 160, so it’s not option A meaning it has to be option D. Just to check 10 x 16 is 160. So yes option d is your final answer. OPTION D. Hope this helps! Would really appreciate it I’ve given brainliest.

Can someone give me an example on how to solve non right angled triangles?

Answers

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

help pleasseeeeeeeee

Answers

Answer:

-1

Step-by-step explanation:

I know that i^4 = 1

i^10 = i^4 * i^4 * i^2

     = 1 * 1 * i^2

We know that i^2 = -1

    =1 *1 *-1

    = -1


Solve for X. Geometry

Answers

Answer:

11

Step-by-step explanation:

6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11

melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left

Answers

Answer:

9 1/4 inches would be left

Step-by-step explanation:

make x the subject a=7x/k-r

Answers

Answer:

x = [tex]\frac{a(k-r)}{7}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{7x}{k-r}[/tex] ( multiply both sides by (k - r) )

a(k - r) = 7x ( divide both sides by 7 )

[tex]\frac{a(k-r)}{7}[/tex] = x

Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)

Answers

Answer:

D. (7,2)

Step-by-step explanation:

-3 +10 is 7

9-7 is 2.

kinda just put them together, you get (7, 2)

I hope this helps!

pls ❤ and mark brainliest pls!

The image of (-3, 9) is (7,2).

Mathematically speaking, a translation is defined by the following operation:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:

[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]

[tex]P'(x,y) = (7, 2)[/tex]

Hence, the image of (-3, 9) is (7,2).

We kindly invite you to check this question on translation: https://brainly.com/question/12463306

If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make

Answers

Answer:

13

Step-by-step explanation:

Factorize this and solve no p, q, s, t, w​

Answers

explanation:

all the questions are solved

in question no. s and t u need to divide the number in two different parts to slove

for no. w we can get two type of solution.

p and q u need to give the power of whole .

3^2 dived (-4+5)^2-11+2^3 hope you can answer

Answers

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation:

PLEASE! I need Help. 50 POINTS!!

Answers

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

1071.79 yd³

Step-by-step explanation:

radius r = 16/2 = 8 yd

height = 16 yd

volume = (1/3)×πr²h

= (1/3)×3.14×8²×16

= 1071.79 yd³ (rounded to the nearest tenth)

Which graph maps f(x) to g(x) using g(x) = -f(x) + 2? Explain the Reasoning

Answers

Answer:

Step-by-step explanation:

PLSSS HELPPPP AYUDA PLSSS URGENT AS WELL PLSS PSL PSL evaluate this expression “(-7x^3 + 9x^2 - 3) x (-2x^2 - 5x + 6)???

Answers

Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18

Step-by-step explanation: You would need to simplify the expression by using distributive property.

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