Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 16x

Answers

Answer 1

Answer:

[tex]$64, \ (x+8)^2$[/tex]

Step-by-step explanation:

A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of [tex]$ax^2+bx+c$[/tex].

The given expression is :

[tex]$x^2+16x$[/tex]

The co-efficient of the x-term in [tex]$x^2+16x$[/tex] is '16'.

So half of the term 16 ,

[tex]$\frac{16}{2} = 8$[/tex]

and [tex]$(8)^2=64$[/tex]

Now add 64 to the expression:

[tex]$x^2+16x+64$[/tex]

Therefore, the perfect square trinomial is

[tex]$(x+8)^2=x^2+16x+64$[/tex]


Related Questions

PLEASE HELP DOES ANYONE KNOW HOW TO SOLVE THIS

Answers

Answer:

36

Step-by-step explanation:

All angles are right angles here. You know one is 54 so the other unknown side in that quadrant has to be 90 - 54.

As angle B is going to be the same as the angle that you just located in that quadrant, the answer is 36

Please help with these high school geometry circle questions.

Answers

Answer:

I don't know I'm really sorry please don't be angry

and if you want my social media cause your angry I'll give

Please help me thanks please
I will give you brainlest

Answers

Answer:

60

Step-by-step explaintion

5 x 12

A stack of 500 pieces of paper is 2 inches tall. How tall is a stack of 250 pieces? 100 pieces? 10 pieces?

Answers

250 is one inch
100 is 0.4 inch
10 is 0.04 inch

Someone please help will mark brainliest!!!

Answers

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

D is your answer so

Find X. It’s a right triangle

Answers

Answer:

7.64

Step-by-step explanation:

use tangent (opposite over adjacent)

tan27=x/15

multiply both sides by 15 to isolate the x

15tan27=x

use a calculator

answer = 7.64

Which equations are true? Choose all that apply.
A. 15^0=15
B. (8^3) (8^6)= 8^9
C. 5^2 = 1/5-3
D. (6^5)^3 = 6^15
E. 3^7/3^9 = 3^-2

Answers

Answer:

B, D, E

Step-by-step explanation:

A) anything to the zero power equals one

B) when bases are the same and being multiplied, add their exponents

C) 5² = 25

D) when parentheses separate exponents, they should be multiplied

E) when bases are the same being divided, subtract their exponents


Which point has coordinates ( -5, -4) ?

Please help ASAP!!! I will give 20 points

Answers

Answer:

Y is your answer

Step-by-step explanation:

pls brainleist

Answer:

point Y

Step-by-step explanation:

Angel lives 3/4 miles from school he has already walked 1/6 mile. How much farther does angel need to walk to school

Answers

Answer:

7/12 miles

Step-by-step explanation:

3/4 and 1/6

find common denominator

9/12 and 2/12

subtract

7/12

when you divide the 3/4 and 1/6 you get 4.5

The ratio of cups of orange juice concentrate to water in a punch recipe is 2 : 5. If Geoffrey used 20 cups of water, how many cups of orange juice concentrate did he use?

Answers

Answer: 8 cups

Step-by-step explanation:

Let the cups of orange juice concentrate that he used be represented by x.

Therefore, based on the information, we can form an equation which will be:

2/5 = x/20

Cross multiply

5 × x = 2 × 20

5x = 40

x = 40/5

x = 8

Therefore, he used 8 cups of orange juice concentrate.

The box-and-whisker plot below represents some data set. What percenta data values are less than 66?​

Answers

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

5 b = - 25 for algebra

Answers

Answer:

b= -5

Step-by-step explanation:

because 5x-5=-25

5b= -25
-25 divided by 5 = -5
b= -5

HELP ME PLEASE PLEASE PLESSEEEE

Answers

Answer:

12/7

Step-by-step explanation:


A cookie recipe calls for 3 cup of chocolate chips for every batch, and the baker can mix and
bake a batch every of an hour. How many cups of chocolate chips would the baker use if he
baked cookies for 6 hours?

Answers

Answer:

i think 18

Step-by-step explanation:

bc like 3 cups-1 hour

6 cups- 2 hours

...... .........

Convert 12/5into a percent

Answers

Answer:

[tex]240\%[/tex]

Step-by-step explanation:

[tex] \frac{12}{5} \: into \: percentage[/tex]

into decimal form:

[tex]2.4[/tex]

[tex]2.4 \times \frac{100}{100} [/tex][tex] \frac{(2.4 \times 100)}{100} [/tex][tex] \frac{240}{100} [/tex]

[tex]240\%[/tex]

Hint:

[tex] \frac{100}{100} = 100 \div 100 = 100\% = 1[/tex][tex]p\% = \frac{p}{100} = p \div 100[/tex]Hope it is helpful...

Marco randomly pulled a marble out of a bag then returned the marble to the bag. He did this 10 times. Three times the marble was green. Kira spun a wheel with sections of different colors. The wheel landed on blue 6 times of the 15 times. Robin decide to pull a marble from the bag and spin the wheel once. Based on the results from Marco and Kira, what is the probability that Robin pulls out a green marble and wheel lands on blue? A. 3/25 B. 1/4 C. 9/25 D. 7/10

Answers

Answer:A

Step-by-step explanation:

Step 1: 3/10

Step 2: 6/15=2/5

Step 3: 3/10 x 2/5 = 3/25

Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.​

Answers

Answer:

6.25 times two equals 12.5

Step-by-step explanation:

Benito cooked 48 cupcakes for his school’s bake sale. His mother cooked 132 additional cupcakes for the sale. How many cupcakes did Benito and his mother cook altogether?

84
132
180
190

Answers

Answer:

180

Step-by-step explanation:

132 plus 48 is 180 so altogether they baked 180 cupcakes

I hope this helped! :)

180 because 48 + 132 = 180

Write the ratios for sin X and cos X.​

Answers

Answer:

[tex] \sin(X) = \frac{ \sqrt{119} }{12} \: , \: \cos(X) = \frac{5}{12} [/tex]

Answer:

Its the last choice.

Step-by-step explanation:

sin X = opposite side / hypotenuse

= √119/12.

cos X = adjacent side / hypotenuse

= 5/12.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x≤0

JUst search it up on mathpapa lol

Answer:

x<0

Step-by-step explanation:

looks like this is an algebraic equation, we can get the answer by observation the "x" - witch we have to get, and see if x is bigger or smaller than the numbers. By doing that its not and we know x<0.

What association does the scatter plot show
A positive nonlinear association
B positive linear association
C no
D negative nonlinear
E negative linear

Answers

C. No Association
This is because there is no definitive line in the graph or upwards or downwards trend

Answer:

The answer would be no association

Step-by-step explanation:

https://www.blooket.com/play?id=658244

Copy and paste
All right answers
Appropriate names please!!

Answers

Answer:

ok

Step-by-step explanation:

hii! please help asap. i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:

Answers

Answer:

Open up and have a minimum

Step-by-step explanation:

If the x² coefficient is:

Positive, the graph will open up and have a minimum

Negative, the gaph will open down and have a maximum

Answer:

opens up and has a minimum

Step-by-step explanation:

Provided a is not 0, y=ax^2+bx+c will be a parabola.

The parabola will open up and have a minimum if a is positive.

The parabola will open down and have a maximum if a is negative.

Since 1/2 is positive, then your parabola opens up and has a minimum.

Which line on the graph represents the equation y + 4 = -2x/3

Answers

Answer:

The answer is line D

Step-by-step explanation:

The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?

Answers

Answer:

carbon is heavier

Step-by-step explanation:

That's the difference right?

Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom

1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24

Change this fraction to an equivalent fraction with multiplication.

4/7 = ______

Answers

Sample Answer:

8/14

Step-by-step explanation:

This is an open ended question with infinite answers, though you can for example multiply both parts of the fraction by 2 to get the same value

4/7

4 * 2 = 8

7 * 2 = 14

8/14 = 4/7

Answer:

8/14

Step-by-step explanation:

Malcolm is filling bags with rice. He starts with a 57 -pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bags Malcolm can fill. Choose
Malcolm can fil
Choose
full bags and choose
of another bag

Answers

Rewrite 5 1/4 as an improper fraction:

Multiply the whole number by the denominator of the fraction then add the numerator of the fraction and put over the denominator:

5 x 4 = 20 + 1 = 21

5 1/4 = 21/4

Ow divide the total amount (21/4) by the amount in each bag (5/8)

21/4 / 5/8

When dividing by a fraction flip the second fraction over and then multiply straight across:

21/4 / 5/8 = 21/4 x 8/5 = (21 x 8) / (4 x5) = 168/20 = 8 8/20 = 8 2/5 bags

He can fill 8 full bags and 2/5 of a other bag

Hard and Long math question, Answer for 100Points

(In image)------ (Dum answers to steal points will be reported, and your account will be deleted)

(Answer In depth for all points, And Answer all the questions that the problem requests)

Answers

Answer: Momma- 72, Uncle- 36, Baby-27, & Grandaddy-36

Step-by-step explanation:

Momma: x/48=30/20; 1440=20x; x=72

Uncle: x/72=5/10; 360=10x; x=36

Baby: x/36=6/8; 216=8x; x=27

Grandaddy: x/27=16/12; 432=12x; 36

Can someone help solve this?

Answers

Answer:

C

Step-by-step explanation:

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