Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. y2 + 28y +

Answers

Answer 1

Answer:

[tex]y^2+28y+196[/tex]

Step-by-step explanation:

We are given that

[tex]y^2+28y+..[/tex]

We have to fill in the number that makes the polynomial a perfect square quadratic.

We know that

[tex](a+b)^2=a^2+2\times a\times b+b^2[/tex]

Using the formula

Expand the expression

[tex](y)^2+2\times y\times 14+(14)^2[/tex]

[tex](y+14)^2[/tex]

[tex]=y^2+28y+196[/tex]


Related Questions

4x^5+2x^4+2x^3+4
I NEED HELP FACTORING THIS PLACE

Answers

Answer:

2(x+1)x(2x^4-x^3+2x^2-2x+2)

Step-by-step explanation:

Use the app that named Photomath can help you solve this kind of problem easily!

I am using it for factoring questions too!

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME ASAP

Answers

Answer:

156 dollars

Step-by-step explanation:

What are the domain and range of the function on the
graph?

Answers

C is your answer by the way

Color of socks
Number of socks
white
8
black
7
blue
2
brown
3

From the table, the ratio of white socks to brown socks is
Select two ratios equivalent to the ratio of white socks to brown socks.
32
A.13
B.15
41
C.32
12
D.40
15

Answers

Answer:

D.40:15 are equivalent to the ration of white socks to brown sock which is 8:3

Why did the North allow the Constitution to protect slavery?

Answers

Answer:

hope helps

Step-by-step explanation:

The Constitution gave the federal government the power to put down domestic rebellions, including slave insurrections. The framers of the Constitution believed that concessions on slavery were the price for the support of southern delegates for a strong central government.

Answer:

The North allowed the constitution to protect slavery because they belived that slavery was an unhuamne thing although all their production for industrialization did come from the south where the slaves worked on them.

Step-by-step explanation:

Solve the system by graphing
6x – 9 = y
y = -3x

i can graph but how do you solve it

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

I need help please and thanks to who helps me

Answers

For the number 2
Sum of interior angles in a polygon = (n-2) x 180
Sum of I.A in a pentagon = 540
You’ll then equal everything to 540
5x + 5 + 4x - 10 + 4x - 10 + 4x + 15 + 4x + 15 = 540


21x + 15 = 540
21x = 525
X = 25

7th grade please solve the problem above. Write a paragraph explaining how you found the solution you must include each step for solving please!!! ​

Answers

Answer:

x=0

Step-by-step explanation:

You must isolate the variable to solve for it, so subtracting 14 from the left is the first thing to do. This can be supported by using PEMDAS, whereas we are doing the inverse here to solve for something in the equation. This gives us 2x=0. Next, we have to divide by 2, which gives us x=0.


Evaluate this express for k = 10; 3k + 4 - K+ 1 (give number answer
only...NO WORDS)

Your answer:

Answers

Answer: k=−5/28

Step-by-step explanation: hope this help

What is the probability of NOT choosing a 4?

Answers

9/16

7 of the squares are 4 so we just substract that from the total of 16 and we get 9

Point D is the centroid of Triangle ABC. Find CD and CE.
DE = 9

Answers

Given:

Point D is the centroid of Triangle ABC and DE = 9.

To find:

The measures of CD and CE.

Solution:

We know that, centroid is the intersection of medians and it divides each median in 2:1.

In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,

Let the measures of CD and DE are 2x and x respectively.

DE = 9                (Given)

[tex]x=9[/tex]

Now,

[tex]CD=2x[/tex]

[tex]CD=2(9)[/tex]

[tex]CD=18[/tex]

And,

[tex]CE=CD+DE[/tex]

[tex]CE=18+9[/tex]

[tex]CE=27[/tex]

Therefore, the measure of CD is 18 units and the measure of CE is 27 units.

The measure of CD and CE are 18 and 27 respectively

From the given diagram, the following are true:

CD = 2DE

Given that DE = 9

CD = 2(9)

CD = 18

Similarly;

CE = CD + DE

CE = 18 + 9

CE = 27

Hence the measure of CD and CE are 18 and 27 respectively

Learn more on centroid here: https://brainly.com/question/25845737

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Answers

Answer:

Step-by-step explanation:

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua, and Elicia is two years older than Tanisha. The sum of all their ages is 37. Use variable expressions and calculate the age of each girl

Let us represent:

The age of :

Tanisha = a

Elicia = b

Ajua = c

Tanisha, Elicia, and Ajua are cousins. Tanisha is twice as old as Ajua

a = 2c

c = 2/a

Elicia is two years older than Tanisha.l

b = a + 2

The sum of all their ages is 37.

a + b + c = 37

We substitute

a + a + 2 + 2/a = 37

2a + 2 + 2/a = 37

Use variable expressions and calculate the age of each girl

Evan subtracts 247 from 642 and get 395. What addition equation can he use to check his answer.
247+ ? =642

Answers

Answer:

Answer down below!

Step-by-step explanation:

When checking work, simply add your answer back in.

In this case, his answer was 395.

247 + 395 = 642

if he gets the same answer, then he is correct.

Does anyone know the bottom one ?

Answers

Answer:

I think it is 54 .

Step-by-step explanation:

50 + 50= 100

45+45 = 90

27 + 27 =5 4

TELL HOW TO DO IT AND PLS DONT STEAL POINTS

Answers

Answer:

The last one is a function.

Step-by-step explanation:

When the x value corresponds to different y values e.g. (1,2)(1,1), then it automatically isn't a function.  Another simple way to find out if something is a function is to graph and try the vertical line test.  If the line passes through multiple points on it's way down, then it's not a function.

Hope that helps!!!! :)


The ratio of boys to girls in a class is 7:5. There are 36 students in the class. How many students are girls?

Answers

Answer:

15 students are girls

Step-by-step explanation:

7+5=12

36÷12=3

3x5=15

15 sorry if I’m late to answer

HELP ME seriously i have 40 minutes left

Answers

Answer:

10 dollars less

Step-by-step explanation:

just trust me bro

help will give brainliest ​

Answers

Answer:

1. 8

2. 6

3. 7

4.-8

Step-by-step explanation:

6 times a number is equivalent to 28 less than 2 times the number. What is the number

Answers

Answer:

Step-by-step explanation:

2x+28<=6x

28<=4x

7<=x

The number is -7

6x = 2x - 28
4x = -28
x = -7

-2a-10+a=-28 please help me

Answers

Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

Tax of northglenn city is calculated at 6.5%. Carlos is at a convenience store with his mom and needs to convert the percent the percent to a decimal to input it on his calculator. What decimal number should he use?

Answers

I think it’s 0.065 hope that helps

Simplify
4y — 4ys + 2y – 5у — 54 – 34

Answers

Answer:

-4ys + y - 88

Step-by-step explanation:

When we have to simplify equations that have different variables, we always have to look at the like terms, which the like terms are ones that contain the same value and variable. So let's look at our equation :

4y — 4ys + 2y – 5у — 54 – 34

We can see three different terms here :

ys, y, and a constant term.

The rule is that we can only combine two properties that have the same like term, so in the equation :

4y — 4ys + 2y – 5у — 54 – 34

These have the same variable, therefore we can combine like terms.

4y + 2y - 5y

6y - 5y

y

Now implace it into the equation :

y — 4ys — 54 – 34

Onto the next property :

y — 4ys — 54 – 34

This is alone, therefore we can leave it :

y — 4ys — 54 – 34

These two are the same property, so do the following :

-54 - 34

-88

Impace into the equation :

y - 4ys - 88

Now that we have no same common like terms, we can order our equation to greatest value to least :

-4ys + y - 88

1. Mang Isko bought 30 kilograms of organic fertilizer for P738 at 12% discount
What was the original price?​

Answers

Answer:

the original price of organic fertilizer was P839

Step-by-step explanation:

to get the 738 of 12% is

839

x. 12

_______

+ 1678

839

________

100.68

839

- 100.68

_________

738.32

How can you use angle measures to prove that lines are parallel?

Answers

Answer:

Step-by-step explanation:

The first is if the corresponding angles, the angles that are on the same corner at each intersection, are equal, then the lines are parallel. The second is if the alternate interior angles, the angles that are on opposite sides of the transversal and inside the parallel lines, are equal, then the lines are parallel.

Find the area of the circle to the nearest hundredths ( Use 3.14 for pi) (4cm)

Answers

Answer: 50.24 cm²

Step-by-step explanation:

ASSUMING THE RADIUS OF THE CIRCLE IS THE 4 CM

The formula for the area of a circle is pi(3.14) * r(4)^2

[tex]3.14*4^2[/tex]

[tex]3.14*16[/tex]

[tex]50.24[/tex]

Hope it helps <3 :D

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form
(-3,5). (3.3)

Answers

Answer:4/3 i think

Step-by-step explanation:

Answer:

Point-slope form:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Slope-intercept form:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

We want the equation in point-slope form and slope-intercept form that passes through the points (-3, 5) and (3, 3).

First, we will find the slope between the two points. By the slope formula:

[tex]\displaystyle m=\frac{5-3}{-3-3}=\frac{2}{-6}=-\frac{1}{3}[/tex]

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

We can choose either point. I'm going to let (3, 3) be (x₁, y₁). The slope m is -1/3. Therefore:

[tex]\displaystyle y-3=-\frac{1}{3}(x-3)[/tex]

Is the point-slope form*.

To find the slope-intercept form, we simply need to isolate y. Distribute:

[tex]\displaystyle y-3=-\frac{1}{3}x+1[/tex]

Adding 3 to both sides yields:

[tex]\displaystyle y=-\frac{1}{3}x+4[/tex]

This is slope-intercept form.

*If you use the other point, the point-slope form will be:

[tex]\displaystyle y-5=-\frac{1}{3}(x+3)[/tex]

A car was traveling at a rate of 2 2/3 yards in 3/4 of a minute. How far is is going each minute?​

Answers

i have no idea i’m sorry

Calculate the area of the window using dimensions given in part A. Show your work and explain your reasoning

Answers

Answer:

(15.2 + 11.2) × (8.4 ÷ 2) = 110.88

Step-by-step explanation:

Hope this helps you! <3

What is the equation of the line that passes through the point (-4, -7) and has a
slope of ?

Answers

Answer:

the question seems incomplete

Solve systems using substitution PLEASE

Answers

x=5. y=35.

To solve, substitute the 7x into the equation for y. Solve. You get x=5. Then put that into your first equation. Solve. You get y=35. Hope that helps!!
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