x^(2)+16x+28=0 complete the square

Answers

Answer 1

Answer:

(x + 8)² = 36

Step-by-step explanation:

When you are trying to complete the square and the equation already has a constant, you add or subtract that value to the other side of the equation so you can cancel it out.

x² + 16x + 28 = 0

x² + 16x + 28 - 28 = 0 -28

x² + 16x = -28

Now, you find ([tex]\frac{b}{2}[/tex])² (divide b by 2 and raise the quotient to the second power). Half of 16 is 8, and 8² is 64. Add 64 to both sides.

x² + 16x + 64 = -28 + 64

x² + 16x + 64 = 36

Now, you just factor the equation on the left. To factor it, you will always use the number you got to make the constant, which in this case is 8.

(x + 8)² = 36


Related Questions

Evaluate the exponential expression using the order of operations.



(6+3)4

Answers

Answer:

36.

Step-by-step explanation:

6 plus 3 is 9 and 9 times 4 is 36, hope this helps.

A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?

Answers

Answer:

24 feet

Step-by-step explanation:

Given that:

The length of the rectangle is 6 times the side of a cement square.

Now, this rectangle is formed from 6 squares;

The total area of the path of this square = 96 square feet;

The area of each square now = 96/6 = 16 square feet

Recall that:

Area of a square = S²

where S is the side length

16 = S²

S = [tex]\sqrt{16}[/tex]

S = 4 ft

The length of the path in feet now is: L × w

= 6 × 4

= 24 feet.

Which expression is equivalent to 6x6 + 12x + 5 ?

A.(2x+1)(3x+5)
B.(2x+5)(3x-1)
C.(2x-1)(3x-5
D.(2x-5)(3x-1)​

Answers

Answer:

Step-by-step explanation:

None of these are correct. Is the equation 6x^6+12x+5 correct?

Joe goes to the store to buy milk that cost x + $3, bread that cost x + $2.25, and 3 bags of potato chips that cost x + $1.50 each. Write an equivalent expression to represent what he spent.

Answers

Given:

Milk cost = x + $3,

Bread cost = x + $2.25,

3 bags of potato chips cost = x + $1.50 each.

To find:

The equivalent expression to represent what he spent.

Solution:

1 bag of potato chips cost = x + $1.50

3 bag of potato chips cost = 3(x + $1.50).

Total cost = Milk cost + Bread cost + Cost of 3 bags of potato chips

[tex]\text{Total cost}=(x+\$3)+(x+\$2.25)+3(x+\$1.50)[/tex]

[tex]\text{Total cost}=x+\$3+x+\$2.25+3x+\$4.50[/tex]

[tex]\text{Total cost}=(x+x+3x)+\$(3+2.25+4.50)[/tex]

[tex]\text{Total cost}=5x+\$9.75[/tex]

Therefore, the required expression is 5x+$9.75.

5 into 3 by 8 + 3 into 2 by 5​

Answers

Answer:

30

5 X 3 ÷ 8 + 3 X 2/5

= 15/11 X 2/5

(Take LCM of 5 and 11. LCM - 55)

15 X 5. 75

_____ =. ___

11 X 5. 55

2 X 11. 22

_____ =. ___

5 X 11 55

75 X 25. 1650

______ = ______

55. 55

= 30

Given: 4d=1/3(c-d) Proof= c=13d

Answers

Proof:

Multiply both of the sides by 3. You would get 12d = c - d. Add d on both sides, and you would get c = 12d

Here, we are required to proof c = 13d from 4d=1/3(c-d)

Ultimately, c = 13d (proof)

We have;

4d=1/3(c-d)

Cross product

4d × 3 = c - d

therefore, By collecting like terms;

C = 12d +d

and Ultimately, c = 13d ......

Read more:

https://brainly.com/question/21406377

At the same time a 15-foot pole casts a 7.5-foot shadow; a nearby tree casts a 24-foot
shadow. How tall is the tree?

Answers

Answer:

12-foot shadow

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

I need help with this equation

Answers

Step-by-step explanation:

whats the equation lol

Answer:

What equation......

Step-by-step explanation:

IDG

Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.

Answers

Answer:

40 minutes

Step-by-step explanation:

30 minutes ÷ 12 laps = 2.5 minutes per lap

2.5 minutes per lap * 16 laps = 40 minutes

1)50% of 60 2) 8 out of 80 is what percent?

Answers

Answer:)

1) 50% of 60 is 30

2) 8 out of 80 is 10%

You're welcome :)

Answer:1. 30

2. 10%

Step-by-step explanation:

9. Three minutes after a hot tub starts to fill, the tub contains 24
gallons of water. After 5 minutes the tub contains 40 gallons of water.
The relationship between the number the number of gallons in the hot
tub and the time in minutes is a proportional linear relationship.
Determine the number of gallons of water the tub increases per minute.

Answers

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

A

B

C

Neither of them

Answers

None of them are correct.

Do 24(0x+0.33333333)=3x+17 have a solution

Answers

Answer:

x≈-3

Step-by-step explanation:

Go and ask the person who gave u the brain

.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908

Answers

Answer:

1,908

Step-by-step explanation:

1,908 u know u can calculate that.

a car travels 15 miles in 15 minutes how many miles does it travel in 2 hours ​

Answers

Answer:

120 miles in 2 hour

Step-by-step explanation:

One hour has 4 times 15 minutes, so you need to do 15 miles x 4 and that time 2 because its 2 hours.

2.
Turkey for sandwiches costs $7.75 per pound. What equation best represents
y, the total cost of x pounds of turkey?
a. X = 7.75 + y
b. X = 7.75y
C. Y = 7.75 + x
d. Y = 7.75x

Answers

Answer:
d
Explanation:
Y=7.75x
1pound-$7.75x1
Xpound-$7.75xX

Find the airthmetic mean of prime numbers between 20 and 50​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Prime numbers between 20 and 50 are :

[tex]23 \: , \: 29 \: , \: 31 \: , \: 37 \: , \: 41 \: , \: 43 \: , \: 47[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Arithmetic mean is :

[tex] \frac{23 + 29 + 31 + 37 + 41 + 43 + 47}{7} = \frac{251}{7} = 35.857 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

23 , 29 , 31 , 37 , 41 , 43 , 47

-3y + 12 = -8x


anyone know how to do this. I need it in y=mx+b and Ax+By=C
slope intercept form and standard form​

Answers

Change -3y + 12 = -8x to the form y = mx + b

Subtract 12 on both sides

-3y = -8x - 12

Divide by -3 on both sides

y = 8/3 + 4


Change original equation to Ax + By = C

-3y + 12 = -8x

Switch -8x and 12

-3y + 8x = -12




(ps, I haven’t done this kind of math in a long time )

8 increased by the sum of t and 3

Answers

8 + (3 + t) is the answer

Answer:

8+(t+3)

Step-by-step explanation:

the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.

please answer correctly
will mark brainlest 1hour to complete

Answers

Answer:

its (0, 0) because the line goes through thex and y intercept

Answer:

2, 0.15

Step-by-step explanation:

Will give brainliest if I can.

Answers

Answer:

x=5

y=-5

Step-by-step explanation:

X=5
Y=-5
Step By Step

1. How are polynomials added and subtracted?
2. Write the expression 81^2-80^2 using a difference of squares pattern. What is the solution?
3. What is the common denominator of (ab)/c + (xy)/z?

Answers

Answer:

3: cz

Step-by-step explanation:

Answer:

1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms

2.)161

3.)cz

Step-by-step explanation:

2.) 81^2-80^2

  (81+80)(81-80)

    161x1

      161

3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz

Hope this helps, hope your call goes well :)

Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.

Answers

To do this you need to find the lower bound
The lower bound is the minimum amount that would round up to the estimated value

3.8kg, measured to the nearest 100g
The degree of accuracy is to the nearest 100g
100/2 = 50g (0.05kg)

Lower bound 3.8 - 0.05 = 3.75kg

Therefore the least amount of candy you could have in the bag is 3.75kg

The best bagel company bakes 1,872.they put a bakers dozen ,or 13 bagels, into each bag. How many bags do they fill

Answers

Answer:

144

Step-by-step explanation:

1872 divided into bags with 13 each is

1872/13= 144 bags to fill

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

Answers

Answer:

y = -1/4x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (-4, -5)

y-intercept (0, -6)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-6+5}{0+4}[/tex]Add:                              [tex]m=\frac{-1}{4}[/tex]

Step 3: Write linear function

y = -1/4x - 6

What is this equation in slope-intercept form, 5х – бу = -15?

Answers

Answer:

y = 5/6x + 5/2

Step-by-step explanation:

What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?

Answers

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.

Answers

Answer:

8p=c

Step-by-step explanation:

The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c

0.5 in simplest form

Answers

Answer:

all e

3 works hope it helped

Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)

Answers

Answer: only 2 (y = -1/2x - 3)

Step-by-step explanation: so first find the gradient by doing y minus x and dividing

-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.

Hope this made sense. If not I'll explain again

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