What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12

Answers

Answer 1

Answer:

(x + 9)² = 36

Step-by-step explanation:

Given

x² + 18x + 57 = 12 ( subtract 57 from both sides )

x² + 18x = - 45

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(9)x + 81 = - 45 + 81

(x + 9)² = 36


Related Questions

1 1/3 - 2 1/5 + 7/10

Answers

11/3 – 11/5 + 7/10 = 13/6 or 2 1/6
:)

Answer:

[tex]-\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}[/tex]

[tex]=-\frac{13}{15} +\frac{7}{10}[/tex]

[tex]=-\frac{1}{6}[/tex]

Help find domain and range

Answers

Answer:

d: 4 r:5

Step-by-step explanation:

for domain the x coordinates doesn't go over -2 on the left or 2 on the right so if u add the units of the space in between it's 4 since 2- (-2)=4

for the range, the y coordinates never goes over 3 or -2 so range is 5 is u add the units in between

I hope that makes sense!

Evaluate x/4 for x=48

Answers

Hey there!

If x = 48

48/4 = 12 because 12 • 4 equals 48

Answer: 12

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

x=8

Step-by-step explanation:

{x}{4}x=48

{x^2}{4}=48

{4x^2}{4}=48\

The amount of money in my account went from being $5 to $8, what is the percent increase?

Answers

I’ll tell u if u answer mine

Are u confused, depressed, and need help with homework?



















Too bad, so am i






















it's ok.​

Answers

Answer:

true, i feel ya.

If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2

Answers

Answer:

p = 304

Step-by-step explanation:

Given p is inversely proportional to q² then the equation relating them is

p = [tex]\frac{k}{q^2}[/tex] ← k is the constant of proportion

To find k use the condition p = 19 when q is 8, then

19 = [tex]\frac{k}{8^2}[/tex] = [tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )

k = 1216

p = [tex]\frac{1216}{q^2}[/tex] ← equation of proportion

When q = 2, then

p = [tex]\frac{1216}{2^2}[/tex] = [tex]\frac{1216}{4}[/tex] = 304

The value of p is equal to 304 when q is equal to 2

Given :

If p is inversely proportional to the square of q

when y is inversely proportional to x then [tex]y=\frac{k}{x}[/tex]

given that p is inversely proportional to the square of q. the equation becomes

[tex]p=\frac{k}{q^2}[/tex]

when p is 19 the value of q is 8

Replace the values and find out k

[tex]p=\frac{k}{q^2}\\19=\frac{k}{8^2}\\19=\frac{k}{64}\\[/tex]

Multiply both sides by 64

k=1216

Now we find out p when q is 2

Replace k value and q value to find out p

[tex]p=\frac{k}{q^2} \\\\p=\frac{1216}{2^2} \\p=304[/tex]

The value of p is equal to 304 when q is equal to 2

Learn more :  brainly.com/question/16069814

V = LWH solve for the variable w

Answers

Answer:

w=v/lh

Step-by-step explanation:

V=LWH
Circle W
Now divide LH from V
W=V/LH
That’s the answer!

Combine and simplify the following radical expression. (2^3 square root 12)(3^3 square root 2)​

Answers

Answer:

(2^3 square root 12)(3^3 square root 2)​(32 square root)

Step-by-step explanation:

i lie

Answer:

432

Step-by-step explanation:

I checked it trust me

y is directly proportional to x2
If y = 12 when X = 2 find
X when y = 300

Answers

80 I hope this helps

Evaluate each value expression for the given value of x: x-5 , x - =22
pls fast

Answers

Answer:

-18

Step-by-step explanation:

-18

brainlest please

How would you graph the solution to 3x ≤ -15?

Answers

Answer:

I would put a shade over the region of x <= -5.

Step-by-step explanation:

The look of the graph would be a shaded rectangle over the line x = -5.

Hope this helped!

Answer:

Draw a closed circle on -5 and shade to the left

Step-by-step explanation:

Provide three character traits that would make you a successful entrepreneur. Explain? I​

Answers

Answer:

Creative, Motivated, and Passionate.

Step-by-step explanation:

The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

5.00 0.55 0.005 5.005 5.5

0.55, 0.005, 5.00, 5.5, 5.005

0.005, 0.55, 5.00, 5.005, 5.5

0.005, 5.00, 0.55, 5.005, 5.5

Answers

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

WILL MARK branniest answer if gotten right

Answers

Answer:

Line MN is the answer

Step-by-step explanation:

Image SQ as a line that extends forever, if  you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.

Brainliest to right answer.

Answers

Answer:

c=-5

Step-by-step explanation:

Answer:

c = -5

Step-by-step explanation:

This is the answer because:

1) We first have to isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.

Answers

What I don’t get that

the side lengths of a triangle are 6, 8 and 12 is this a right triangle

Answers

Answer:

No it is not a right triangle.

Step-by-step explanation:

We calculate the squares of the two littlest sides and add them :

6² + 8² = 36 + 64 = 100

We now calculate the square of the biggest side :

12² = 144

They are not equal, and thus, the triangle is not a right triangle.

Hope this helped! If so, plz mark brainliest.

Answer:

No, Because 6^2 + 8^2 = 12^2

Step-by-step explanation:

Steph makes and sells birthday cakes. Each cake costs £54 to make.
She makes a profit of 15% on each cake.
What is the selling price of Steph's birthday cakes?
(2 marks)
£=

Answers

She would sell the cake at £62.20. I calculated this by cost to make * profit = sale price, so 54 * 1.15 = 62.20. The profit of 15% because profit is on top of the cost of the cake, so the one in 1.15 means the original value is being added onto.

The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost per cake = £54

15% of £54 = 0.15 x 54 = £8.1

Selling price = £54 + £8.1 = £62.1

Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy

Answers

Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]

[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]

Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.

What are the answers

Answers

Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

WUTS THE ANSWER IM SO LOST I NEED HELP!!! :(

Answers

1/6 = 0.16 acres in 8 minutes.

--

0.16  ÷ 8 = 0.02 acres mowed in 1 minute.

--

(60 minutes in an hour)

0.02 x 60 = 1.2 acres mowed in an hour.

--

1.2 is equal to 1 1/5, and jami needs to mow 1 1/2 acres. so no, jami cannot mow 1 1/2 acres in an hour.

The garden itself is 5 yards by 8 yards. The total area need to build this landscape
design is 60.9525 square yards. What is the width of the walkway?
O a) 0.725 yards
b) 2.9 yards
C) 1.45 yards
d) 4.58 yards

Answers

Answer: 1.45

Step-by-step explanation:

What is the factored form of 250x3 − 16?

Answers

Answer: 2(5−2)(25^2 + 10 + 4)

Step-by-step explanation:

I took a test with the same question and got it right. Hope this helps

PLEASE I NEED HELP
Factor out the coefficient of the variable.

The expression 3/8d+3/4 factored is

Answers

Answer:

9

Step-by-step explanation:

What is the value of 6k^-4 if k = -1?
A. -24
B. 1
C. 6
D. 24

Answers

Answer: 6

Step-by-step explanation:

[tex]6\left(-1\right)^{-4}[/tex]

[tex]6\cdot \frac{1}{\left(-1\right)^4}[/tex]

[tex]6\cdot \:1[/tex]

[tex]6[/tex]

Answer:

C, the answer is 6.

Step-by-step explanation:

If you substitute -1 into the variable "k", it would look like this equation, 6(-1)[tex]6(-1)^{-4}[/tex], if you then raise -1 to the power of -4, you would then get the value 1. Thus, 6 * 1 equals 6. C would be the correct answer.

The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee

Answers

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.

Answer:

1/5x

Step-by-step explanation:

Got it right on Edge

If a = -9 and b = 4, what is the value of a + b ?
A. -5
B. 5
C. -13
D. 13

Answers

Answer:

A. -5

Step-by-step explanation:

-9 + 4 = -5

hope this helps

Which number is greater 35, 6.1

Answers

I think the answer is 35, but I’m not sure

In a certain​ chemical, the ratio of zinc to copper is 4 to 13. A jar of the chemical contains 286 of copper. How many grams of zinc does it​ contain?

Answers

Answer: It contains 88 g of zinc.

Step-by-step explanation:

Given: The ratio of zinc to copper is 4 to 13.

Ratio can be written as [tex]\dfrac4{13}[/tex]

A jar of the chemical contains 286 g of copper.

Let the quantity of zinc be x.

By using the direct proportion rule:[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

[tex]\dfrac{x}{286}=\dfrac{4}{13}\\\\ x=\dfrac{286\times4}{13}\\\\\Rightarrow\ x=88[/tex]

Hence,  It contains 88 g of zinc.

What is the initial cost of the car?

Answers

where is the question?
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