Rewrite the equation by completing the square.
X^2+8x+12=0

Answers

Answer 1

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0


Related Questions

How to simplify 80/7

Answers

Answer:

[tex]11 \frac{3}{7}[/tex]

Step-by-step explanation:

80 divided by 7 is 11 with a remainder of 3.

Answer:

11 3/7

Step-by-step explanation:

How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.

Length of a segment with endpoint of (-2,5) and (4,5)

Answers

Answer:

6...the length is 6

This is a horizontal line!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Which one?
A. B. C. Or D.​

Answers

Answer:

A)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think..

An iscosceles right angled triangle is shown

Answers

Answer : x = 4

Step-by-step explanation:

Area = 1/2 × base × height

Area= 200cm²

base = 5x

height = 5x

200cm² = 1/2 × base × height

200 = 1/2 × 5x × 5x

200 = 1/2 × 25x²

2( 200) = 25x²

400 = 25x²

16 = x²

4 = x

Answer:  " x = 4 " .

______________________________________

Step-by-step explanation:

______________________________________

The formula for the area of a triangle:

             Area, "A" = (1/2) * base * height;

          that is:   A = (1/2) * b * h ;

From our given problem and image/diagram:

    A = 200 cm² ;

          b = 5x ;

          h = 5x ;

We are asked to find the value for "x" ;

 A = (1/2) * b * h ;

Plug in our known values:

 200 cm² = (1/2) * 5x * 5x ;

Simplify:

 200 cm²  = (1/2)*(25x²) ;

 200 cm² = (12.5)x² ;

⇔  (12.5)x² = 200 cm² ;

Divide each side by:  " (12.5)" ;

     (12.5)x² / (12.5)  = (200 cm²)/(12.5) ;

to get:   x² = 16 ;

Take the positive square root of each side of the equation; to get the value for "x" ;

   ⁺ [tex]\sqrt{x^{2} } =[/tex] ⁺ [tex]\sqrt{16}[/tex] ;

to get:

  x = 4 .

________________________

Good luck to you in your academic endeavors!

________________________

can someone help me with this q6

Answers

Answer:

y=2X

Hope this helps!!!
the answer is 2 so y=2x

A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?

Answers

Answer:

117.46 sq in

Step-by-step explanation:

The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps

177.46 inch²

hello

would you like to be my friend? ≧ω≦

can i please get your intro?

Myself Ojasvi

Class 8, 13

India

combine like terms to create an equivanlent expression and simplify coefficents and constants -6/5-2/3v+4/15+1/3v

Answers

Answer: −

1

4

1

5

+

2

3

+

3

Step-by-step explanation:  because im smart and ty for the points mate or girly girl

1 mile= 1.6 kilometers ​

Answers

Answer:

D

Step-by-step explanation:

60 x 1.6 = 96 kilometers

5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?​

Answers

Answer:

 y  = 72x

324miles

Step-by-step explanation:

Given parameters:

      Speed of the car = 72miles/hr

       distance  = y

        time  = xhrs

Unknown:

Write a direct variation equation for the distance=  ?

Distance covered in 4.5hrs =?

Solution:

A. Write a direct variation equation for the distance;

    A direct variation is a linear equation.

   It often takes the form y = kx

   

For this problem;

      Distance  = speed x time

input the parameters;

      y  = 72x

The direct variation equation is  y  = 72x

B. Distance traveled in 4.5hrs

   y  = 72x

  x is the time taken;

  So;

        y  = 72 x 4.5  = 324miles

help please !!! show work​

Answers

Answer:

y = [tex]\frac{2w}{x^{2}}[/tex]

Step-by-step explanation:

To solve an equation for one of its variable do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1

Let us use these steps to solve our question

∵ w = [tex]\frac{1}{2}[/tex] x²y

→ Underline y

∴ w = [tex]\frac{1}{2}[/tex] x²y

→ Multiply both sides by 2 to cancel the denominator 2

∵ 2 × w = 2 ×  [tex]\frac{1}{2}[/tex] x²y

∴ 2w = x²y

→ Divide both sides by x² to move it to the left side

∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]

∴  [tex]\frac{2w}{x^{2}}[/tex] =  y

→ Switch the two sides

y = [tex]\frac{2w}{x^{2}}[/tex]

Melanie had 3 pounds of dried fruit. She packed the dried fruit into bags of 3/8 pound each. How many bags of dry fruit does she pack?

Answers

Answer: 8 bags

Step-by-step explanation:

From the question, we are informed that Melanie had 3 pounds of dried fruit and that she packed the dried fruit into bags of 3/8 pound each.

For us to get the number of bags of dry fruit does she will pack, we have to divide 3 pounds by 3/8 pounds. This will be:

= 3 ÷ (3/8)

= 3 × (8/3)

= 8

Therefore, she will pack 8 bags of dried fruit.

7. The width, w, of a bolt is supposed to be 2 cm, but it may have a 0.01-cm margin of error.
Solve the inequality lw - 2 30.01. What does the solution mean in this context?
PLEASE HELP

Answers

Answer:

to be honest.....I HAVE NO FRINKIN CLUE, i just answered to say that you have a cute name if thats your real name

Step-by-step explanation:

Congrats, you have reach the worlds biggest idiot

| CMON      |

| LETS      |

| PLAY      |

| SOME      |

| GANG      |

| GANG      |

| FORTNITE  |

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(•ㅅ•) ||

/   づ

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]

Step-by-step explanation:

[tex] \text{5x + 4 + 2x + 5}[/tex]

[tex] \text{Combine \: like \: terms} : [/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]

➝ [tex] \text{ 7x + 4 + 5}[/tex]

[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]

[tex] ➝ \: \text{7x + 9}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \mathfrak{TheAnimeGirl}[/tex]

Answer:

7x + 9

Step-by-step explanation:

Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.

5x+2x = 7x

5+4 = 9

therefore:

7x+9  

If anyone answers, I love you.

Answers

Answer:

-5 7

6 -3

-9 1

Step-by-step explanation:

im so sorry if im wrong don't sew meh

Which of these tables represents a linear function?

Answers

Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

Which expressions are equivalent to 46 ?

Answers

Answer:

frus

ggyfhhfgggdg the nearest whole number is the nearest whole thing that is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number of the nearest and the product of the nearest and we are all in this together to to 21211111111wwethkuff

2+y=11 What is the answer?

Answers

Answer:The answer has to be 9

(

Step-by-step explanation: Because 2 plus 9 equals 11 and this is an addition problem

Answer:

9

Step-by-step explanation:

To solve subtract 2 from both sides (subtraction property of equality)

2-2+y=11-2, then simplify

y=9

2. The area A of a rectangle is represented by the formula A = lw where l is the length
and w is the width. The length of the rectangle is 5.

Write an equation that makes it easy to find the width of the rectangle if we know the
area and the length.

Answers

Answer:

rearrange the formula A=lw and make the width the subject of the formula

therefore to find width, the formula is w=A/l

Width = Area/Length

What is the Area of Rectangle?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area.

Area of rectangle = Length x Breadth(or width)

A = L*W

Given,

Length = L = 5

Width = W

Let Area = A

according to the formula of rectangle,

A = L*W

If Area and length is given,

W = A/L

Width = Area/Length = Area/5

Therefore, the equation is Width = Area/Length

Read more about Area of Rectangle here:

https://brainly.in/question/12019874

#SPJ2

(6x + 9) - (4x + 6) I need help

Answers

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!

Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009

Answers

The best choice is A)

when you add a zero, it does not count on a decimal, so,

1.9, 1.90, 1.900.

Answer:

the answer is a

Step-by-step explanation:

Show work , simplifying expression

Answers

Answer:

100

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

x(x - y)²

x = 4

y = 9

Step 2: Substitute and Evaluate

4(4 - 9)²

4(-5)²

4(25)

100

In rhombus JKLM, if m

Answers

i’m generally confused on exactly what your asking for

PLEASEE HELP MEEE what is the standard form of the following equation y= 5x + 0.5
A- 5x + y= 0.5
B- -5x-y= 0.5
C- -5x+y= 0.5
D- -5x+y= -0.5

Answers

Answer:

the standard form of y=5x+0.5 is B=-5x+y=0.5

Answer:

the answer is 5x - y= -0.5

What is 3/4 plus 1 1/4?

Answers

Answer: 2

Step-by-step explanation:

you add the 3/4 to the 1/4 and get 4/4 which equals 1 next you add that to the 1 from the problem and get 2

if you need it in an improper fraction you can just say 8/4

Find the slope of the line

Answers

Answer:

Slope= -5/3

Step-by-step explanation:

Find the distance between the two points if rounded to the nearest tenth (-6,6) and (-3,3)

Answers

Answer:

3[tex]\sqrt{2}[/tex] units

Step-by-step explanation:

Given parameters:

    Coordinates = (-6,6) and (-3,3)

Unknown:

The distance between them = ?

Solution:

To find the distance between two points, we use the expression below;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

    x₁ = -6    x₂ = -3

   y₁ = 6       y₂ = 3

    D = [tex]\sqrt{(-3 -(-6))^{2} + (3-6)^{2} }[/tex]   = [tex]\sqrt{18}[/tex]

    D = 3[tex]\sqrt{2}[/tex] units

Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.


Formula:

Height:

Answers

Answer:

Formula:  V = 1/3πr^2h

Height: 6cm

Step-by-step explanation:

step one:

given information

volume =32π cm^#

radius=4cm

step two:

The formula is

V = 1/3πr^2h

substituting we have

32π =1/3π*4^2*h

32π=16πh/3

π cancels out

step three:

cross multiply we have

32*3=16h

divide both sides by 16 we have

96/16=h

h=6cm

Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?

Answers

Answer:

9 command Cards

Step-by-step explanation:

help me yo!

A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?

A) 2/5
B) 4/9
C) 1/2
D) 5/9

A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?

A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5

A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?

A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9

My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?

A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9

Answers

Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9


The value of 
y
is directly proportional to the value of 
x
.
x
.
if 
y
=
42
y
=
42
when 
x
=
84
,
x
=
84
,
what is the value of 
y
y
when 
x
=
35
x
=
35

Answers

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 42 when x = 84, then

42 = 84k ( divide both sides by 84 )

0.5 = k

y = 0.5x ← equation of proportion

When x = 35, then

y = 0.5 × 35 = 17.5

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