What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
2x2+ 40 = -8x

What Is The Intermediate Step In The Form (x + A)2 = B As A Result Of Completing Thesquare For The Following

Answers

Answer 1

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4


Related Questions

Elena and Jada were racing on their bikes. Elena started 15 meters ahead of Jada. Elena biked at a rate of 20 meters per second. Jada biked ya a rate of 22 meters per second. Let x represent time in seconds and y represent distance in meters. What equation could be used to solve this system using the substitution method?

Answers

Answer:

Step-by-step explanation: 15 x 20 and get your answer then, add whatever you got with 22 last, see what your answer was and put your answer with either the y axis or x axis.

please help me no uncool answers

Answers

Answer:

[tex]a_{n} =n-4[/tex]

Step-by-step explanation:

With every number following, you just keep subtracting 4 from the previous number

What is 9.85km to 5000m as a ratio in it's lowest terms

Answers

Answer:

197:100

Step-by-step explanation:

9.85km in m =9850m

9850:5000

÷10 ÷10

985:500

÷5 ÷5

197:100

as we can’t simplify any more, this must be the lowest term.

truth or false every fraction has a limited number of equivalent frections .

Answers

Answer:

False

Step-by-step explanation:

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Hope it his helps

WILL GIVE BRAINLIEST!!!
3. Mary Cunningham offered $456,500 for a home that had been
priced at $569,500. The seller agreed to the offer. A bank is willing
to finance the purchase if she can make a down payment of 20%.
a. What is the amount of the down payment?
b. What is the amount of the mortgage loan?

Answers

a. To find the amount of the down payment, we need to multiply the price of the home by the percentage of the down payment required.

How would one define compounding?

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

The price of the home is $456,500 and the down payment percentage is 20%, so:

Down payment = $456,500 x 20% = $456,500 x 0.20 = $91,300

b. To find the amount of the mortgage loan, we can subtract the down payment from the price of the home.

The price of the home is $456,500 and the down payment is $91,300 so:

Mortgage loan = $456,500 - $91,300 = $365,200

Therefore, the amount of the down payment is $91,300 and the amount of the mortgage loan is $365,200.

Learn more about compounding

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Answers

The second choice
It has adding on both sides

Answer:

0+2=2

Step-by-step explanation:

Identity property of addition: The sum of 0 and any number is that number.

So 0+2=2

A Math Question I need done

Answers

i believe it is a but i’m not sure
The answer should be letter A

Monica found the volume of the prism below using the expression .





What errors did Monica make? Check all that apply.


She should have counted only 2 unit cubes instead of 4.


She should have counted 8 one-third cubes instead of only 4.


She should have found the total value of the one-third cubes by multiplying by instead of by .


Each fractional cube is worth instead of the that she used.


She cannot stack more than one layer of fractional cubes in a prism.

Answers

Answer:

See Explanation

Step-by-step explanation:

The expression and the dimension of the prism are not given.

So, I will just give a general expression.

The volume of a prism is:

[tex]Volume = Length * Width * Height[/tex]

Assume that:

[tex]Length = 2[/tex]

[tex]Width = 2[/tex]

[tex]Height = 1\frac{2}{3}[/tex]

See attachment

Monica's expression should be:

[tex]Volume = 2 * 2 * 1\frac{2}{3}[/tex]

And the solution will be:

[tex]Volume = 2 * 2 * \frac{5}{3}[/tex]

[tex]Volume = \frac{20}{3}[/tex]

Answer:

b and c

Step-by-step explanation:

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does anybody have this? ill mark brainiest. (quiz)

Answers

Formulae Used :-

Circumference of Circle :-

[tex] \sf \underline{\pink{\boxed{2\pi r}}}[/tex]

Value of π (pi) =

[tex] \sf \: { \frac{22}{7} } \: or \: 3.14[/tex]

Answer :-

9) C = 2πr = 2 × 3.14 × 4

≈ 25.13274

10) C = 2πr = 2 × 3.14 × 7.2

≈ 45.23893

11) C = 2πr = 2 × 3.14 × 10

≈ 62.83185

12) C = 2πr = 2 × 3.14 × 3.6

≈ 22.61947

13) Given :-

Diameter : 8m

Radius = half of D = 4 cm

⇢C = 2πr = 2 × 3.14 × 4

≈ 25.13274

14) Radius = 6 cm

C = 2πr = 2 × 3.14 × 6

≈ 37.69911

15) C = 2πr = 2 × 3.14 × 7.1

≈ 44.61

16) C=2πr=2× 3.14 × 5.2

≈ 32.6

[tex]\rule{300px}{.7ex}[/tex]

[tex]{\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}[/tex]

Plss finish fast the question is linked thank you for ur help

Answers

Answer: B. 2 2/5

Step-by-step explanation: Hope this help :D

2 1/6 ft

Step-by-step explanation:

This problem bothers on subtraction of fraction

Given data

Total length of rope 3 1/2 feet

Let's convert mixed fraction to proper fraction = 7/2ft

First piece of rope = 1 1/3ft

= 4/3ft

Hence the second piece of the rope is = 7/2-4/3= 21-8/6= 13/6

Second piece = 2 1/6 ft

Find the surface area of the right prism ​

Answers

Answer:

Ggggggggggggggggggggg!!!

Step-by-step explanation:

20 pts and brainlist if right!! 5 stars too!

Answers

Answer:

Corresponding Angles:

∠2 and ∠6

∠4 and ∠8

∠1 and ∠5

∠3 and ∠7

Vertical Angles:

∠2 and ∠3

∠1 and ∠4

∠5 and ∠8

∠6 and ∠7

Alt. Interior:

∠4 and ∠5

∠5 and ∠6

Alt. Exterior:

∠2 and∠7

∠1 and∠8

Step-by-step explanation:

This took me forever..

Classify the pair of angles. Then find the value of x

Answers

Answer:

The angles are acute and x should be 243. Not sure if that's what you are looking for but good luck!

Answer:

I need to know the choices in the blank box before I answer that part of the question.

Step-by-step explanation:

180-117=63

x=63

If one half life is the amount of time it takes for a radio active isotope to decay by a factor of 2, approximately which percent describes how much of the initial quantity of a substance would remain after 2-3 half lives?
A.0.25
B.0.20
C.0.75
D.0.50

Answers

Answer:

the answer for this question is option c

Find the value of x such that the data set has the given mean. 98,122,104,115,107,x,102 x=(Type an integer or a​ decimal.)

Answers

Answer:

x = 66

Step-by-step explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

[tex]M = \frac{x_1 + x_2 + ...+ x_n}{N}[/tex]

In this case we have the data set:

{98, 122, 104, 115, 107, x}

And I assume that we want to have the mean = 102.

So we have a set of 6 numbers, the mean of this set will be:

[tex]M = \frac{98 +122+104+115+107+x}{6} = 102[/tex]

We need to solve this equation for x.

If we multiply both sides by 6, we get:

(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612

546 + x = 612

x = 612 - 546 = 66

x = 66

In space, what would be the amount of force required to keep a 2kg object moving at a constant speed of 8m/s?

Answers

Answer:

the amount of force is zero newton

Step-by-step explanation:

Given that

Mass of an object = 2kg

Constant speed of the object = 8m/s

We need to find out the amount of the force

As in the question it is mentioned that the speed is constant so there would be no change in the velocity due to this acceleration would be zero

Now following formula should be used to find out the force

Force = ma

As a = 0

f = 0

Therefore, the amount of force is zero newton

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Answers

Answer:

1. a

2. d

3. c

4. d?

5. cant answer cause I cannot see the data

You have a square that has a perimeter of 24 feet. You need to purchase the logs for your garden. You can use one log for each side. How long will each log be? Round to tenths

Answers

Answer:

6 feet

Step-by-step explanation:

Given that,

The perimeter of the square, P = 24 feet

We need to find the side of the square.

The perimeter of a square is given by the formula as follows :

[tex]P=4a[/tex]

Where

a is the side length

So,

[tex]a=\dfrac{P}{4}\\\\a=\dfrac{24}{4}\\\\a=6\ feet[/tex]

So, the side of each log be 6 feet.

pls help need it ASAP will give brainlist

Answers

Answer:

BE = 3.5 m

Step-by-step explanation:

Δ ACB and Δ EDB are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{BE}{BA}[/tex] = [tex]\frac{BD}{BC}[/tex] , substitute values

[tex]\frac{BE}{21}[/tex] = [tex]\frac{3}{18}[/tex] ( cross- multiply )

18 BE = 63 ( divide both sides by 18 )

BE = 3.5

Bella brought stickers to give to 12 of her friends. Each friend received 4 stickers.
how many stickers did she bring to schoo
[tex] x \div 4 = 12[/tex]

Answers

You answer the question by multiplying 4 and 12

The answer is 48 stickers

Answer: The answer is x/4 = 12.

Step-by-step explanation: This is because in the problem it says "How many stickers did she bring to school" so you will have to divide x by 4 in order to get 12.

Question 1 (1 point)
What is the exact area of a circle with a radius of 3?
120
9n
6 6
31

Thanks!!!

Answers

Answer:

9π units²

Step-by-step explanation:

To obtain an exact answer, use π, not an approximation such as 3.14.

A = πr² is the appropriate formula.

Here,

A = (3)^2·π units², or 9π units²

A=πr2=π·32≈28.27433
If you do pie times 3 squared you get 28.27433

Tom is playing football . He carries the ball 7 1/3 yards and then goes backwards 2 feet how far did Tom Cary the ball in feet after these two plays

Answers

Answer:

20 feet

Step-by-step explanation:

convert yard to foot

1 yard = 3 foot

7 1/3 x 3 = 22

22 -2 = 20 feet

One third of a number, decreased by 3/4 gives 1/3. What is the number?

Answers

Answer:

hmmmm

Step-by-step explanation:

Sal recorded the cost of his monthly home heating bill and the corresponding average
monthly temperature for the past 15 months. He displayed the information in a scatter
plot and used a graphing calculator program to find the least squares regression line
to fit the dat
Sal wants to use the least squares regression line to predict the cost of his heating bill
when the average monthly temperature is 40°F. Which statement is true?

Answers

Answer:

the answer is C

Step-by-step explanation:

Answer:

Bottom Left is the right answer

Step-by-step explanation:

Please answer this!! sorry if you keep seeing my questions I suck at math !!

Answers

Answer:

AB   = 12

BC   = 9

Step-by-step explanation:

x= -4

AB   -4+16 = 12

BC  -4+13 = 9

  12+9 = 21

5. Write 2/3 and 3/4 as equivalent fractions using a common denominator

Answers

Answer:

awdsadaw

Step-by-step explanation:

awdasdaw

A cube has a surface area of 24. What's the volume?

a 48

b 12

c 16

d 8

Answers

Answer:

Step-by-step explanation:

The voloum is 8 cubic cm.

if the surface area is 24 the volume is 8.

A model of a volcano has a height of 12 in., and a diameter of 12 in.

What is the approximate volume of the model?

Use 3.14 to approximate pi, and express your final answer as a decimal.

Enter your answer as a decimal in the box.

Answers

Answer:

452.16 cm³

Step-by-step explanation:

I assume the shape of the volcano is a cone.

V = (1/3)πr²h

r = d/2 = 12 in./2 = 6 in.

V = (1/3)(3.14)(6 in.)²(12 in.)

V = 452.16 in.²

Answer:

Step-by-step explanation:

Radius r = 6 inches

Height h = 12 inches

volume of cone = πr²h/3 ≈ 3.14∙6²∙12 = 1,356.48 in³

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my question is: people love your masks so much that now they want to get them in different shapes. They want circular masks now. How much fabric would you need to mask that has a radious of 4 cms?

Answers

Answer:

16π [tex]cm^2[/tex] will your answer!

Step-by-step explanation:

4 x 4 x π = 16π

also, who is stalking you?

Find the measures of interior angles. Find a and B.

Answers

Answer:

A = 68

B = 44

C = 68

Step-by-step explanation:

find x:

68 + x + x - 24 = 180

2x + 44 = 180

180 - 44 = 136

136 / 2 = 68

x = 68

_________________________

68 + 68 + 44 = 180

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