Which of the following expressions correctly describes Completing the Square?

Which Of The Following Expressions Correctly Describes Completing The Square?

Answers

Answer 1

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

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Related Questions

rewrite in simplest form

0.7k-5(-7k-4)

Answers

Answer:

Step-by-step explanation:

357k + 200

——————————

10

35.7k+20 is the answer i believe

Three people take 2½ hours to deliver leaflets to 270 houses. Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver leaflets to 405 houses? Give your answer in hours and minutes.​

Answers

Answer:

3 hours 45 minutes

Step-by-step explanation:

270/2 1/2 = 108. This means they are delivering 108 leaflets an hour. Then you divide 405 by 108 and get 3.75, which is 3 hours and 3 quarters of an hour. since a quarter of an hour is 15 minutes it would be 3 hours 45 minutes.

Nadia charges $6.00 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.


Suppose Nadia raises her rate by $0.60 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?


Complete the explanation and give your answer.

Answers

Answer:

35 hours

Step-by-step explanation:

She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.

Answer:

35 hours

Step-by-step explanation:

In the first month she worked for 38.5 hours

Multiply that by $6 and we that she made 231 dollars

231 divided by here new rate of $6.60 would be 35 hours

Please mark brainliest

Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7

Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.



PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER

Answers

Answer:

Well lucy has a 50/50 chance to get a odd card so that is it

Step-by-step explanation:

The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

Let's denote the number of even cards as "x" and the number of odd cards as "y".

The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]

The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:

Probability of choosing an even card = Number of even cards / Total number of cards

Therefore, we have:

[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]

To find the ratio of even cards to odd cards, we can set up the equation:

[tex]\frac{x}{y} = \frac{3}{4}[/tex]

Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.

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Find the highest common factor and lowest common factor of 78 and 130

Shown method would be great thankss :))

Answers

Answer:

The GCF is 26 and the least common factor is 390

Step-by-step explanation:

The GCF is 26 because 2, LCF is 390 because 78x5 equal 390 and 130x3=390.

Mrs. Baynes is shopping for rulers for her classroom. She wants to spend $19.75 on rulers and they cost $0.79 each. How many rulers, (r), can she buy?

Answers

Answer: 25 rulers

Step-by-step explanation:

19.75/.79=25

Answer:

25

Step-by-step explanation:

Divide the total money, by the cost of each product:

$19.75/$0.79=25

What is the slope of this line?

Answers

Answer:

y= -3x -3

Step-by-step explanation:

Chose the graph which represents the solution to the inequality

Answers

Answer:

See answers below.

Step-by-step explanation:

 x  =  - 4x + 15             Change the ≤ to an = and solve for x    

4x =   4x          

5x  =       15

  x =    3           Now replace the equal sign with ≤

    x ≤ 3

The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.

How many solutions are there to the equation below?
5x + 15 = 5(x+4)

Answers

Answer:

I think it 2 solution to the problem you can add or multiple

Can someone pls help me...

Answers

It is not a function and that is becuase a vertical line would pass through it twice

the triangles are similar, Write a similarity statement for the triangles “PLZ HELP”

Answers

Answer:

Option 3 or C

Triangle NPM ~ Triangle NQR

Step-by-step explanation:

Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?​

Answers

Answer:

23

Step-by-step explanation:

She originally had 23 because if she gave away 6 bags of chips, she would have 17 left

-

17+6=23

double check answer:

23-6=17

Answer:

the answer is 23

Step-by-step explanation:

17+6=23

so she 23 bags of chips

Geometry Homework, Please help with both questions

Answers

Similar figures are two or more given figures that have some common properties. The answers to the questions are;

14. m<WYZ = [tex]157^{o}[/tex]

15. m<ACB = [tex]87^{o}[/tex]

Two or more figures are said to be similar if they have some common properties. Note that similar figures may not be congruent.

Thus, the solutions to the questions can be determined as follows:

14. Comparing WYZ and VXYZ, we can deduce that:

<WYZ + <YVX = [tex]180^{o}[/tex] (sum of angles on a straight line))

So that;

(16x - 3) + (3x - 7) = [tex]180^{o}[/tex]

19x - 10 = [tex]180^{o}[/tex]

19x = [tex]190^{o}[/tex]

x = [tex]\frac{190}{19}[/tex]

  = [tex]10^{o}[/tex]

Then,

m<WYZ = (16x - 3) = (16(10) -3)

             = [tex]157^{o}[/tex]

The measure of angle WYZ is [tex]157^{o}[/tex].

15. (11x - 2) = (6x + 13)     (similarity property)

11x - 6x = 13 + 2

5x = 15

x = 3

So that;

m<ABC = (6x + 13) = (6(3) + 13)

             = [tex]31^{o}[/tex]

m<ABC = [tex]31^{o}[/tex]

But,

m<BAC + m<ABC + m<ACB = [tex]180^{o}[/tex]  (sum of angles in a triangle)

[tex]62^{o}[/tex] + [tex]31^{o}[/tex] + m<ACB = [tex]180^{o}[/tex]

m<ACB = [tex]180^{o}[/tex] - 93

             = [tex]87^{o}[/tex]

m<ACB = [tex]87^{o}[/tex]

The measure of angle ACB is [tex]87^{o}[/tex].

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Find the value of x and thank for answer

Answers

The value for x is 102 degrees

First we can find the second value in the triangle by subtracting 141 from 180. This works because when added together these two angles come together to from a line (180 degrees) because this value is now known (39 degrees) we can subtract both from 180:

180-39-39= x = 102

A rubber ball is dropped from a height of 5 feet and bounces to 1/3 of its height after each fall. If it continues to bounce until it comes to rest, find the total distance in feet it travels.

Answers

Answer:

7ft

Step-by-step explanation:

HELP PLSSS ITS DUE TMRWW

Answers

Answer:

P=6

Step-by-step explanation:

okay so the problem states that this pentagon has one line of symmetry.

if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.

since you know the perimeter is 18 cm, you can make an equation to find x:

4x+2(2x+1)+2(x+2)=18

-->4x+4x+2+2x+4=18

-->10x+6=18

-->10x=12

-->x=1.2

P would be 6

2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.

Answers

A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.

We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.

So we are missing that sides MU and NU are congruent.

For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.

We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.

Find the term-to-term rule of this sequence:5,6,8,12

Answers

Answer:

5,6,8,12,20,36,68

8i

−8

8i2

−8i
NO LINKS

Answers

Answer:

Step-by-step explanation:

x² = -64

   = -1 · 64

Using -1 = i²:

x² = 64 · i²

Using 64 = 8²:

x² = 8² · i²

   = (8·i)²

Taking the square root of both sides:

x = 8i

In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___

Answers

The answer is A, B, and D

Answer:

a, b, and d

Step-by-step explanation: if you do the math you can find it

does anyone like math in this world?

Answers

Answer:

i mean math is my second favorite subject

Step-by-step explanation:

to be honest i hate math it makes me cry when i have to do it

CAN SOMEONE PLSSSS HELP ME ON THE LAST ONE (c) AND GIVE THE REASON IM SO STUCK IN THIS MUCH APPRECIATED TO THOSE WHO HELP

Answers

Answer:

Diagram B

Step-by-step explanation:

A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!

Which equation has no solution?

Answers

Answer:  It should be the third one

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1:none

2:c

3:b

4:a

Step-by-step explanation:

Answer:

A=4    B=3   C= 2  and 1 is none

Step-by-step explanation:

Just look at each shape and imagine or draw out how it would look unfolded.

Could someone please help me on this equation?

Answers

Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

(x, 7) and (-7, 4); slope: 1

Answers

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

P(x)=1/2(x-2)(x-3)(x+7) find the constant

Answers

Answer:

21

Step-by-step explanation:

p(x)=1/2(x-2)(x-3)(x+7)

costant term=1/2(-2)(-3)(7)=21

!! WILL GIVE BRAINLIEST AND 6 THANKS ON ALT ACCOUNT!!
The answer is 150. I just need to know the explanation to get the answer. If you give a good and understandable answer, I will give what was listed in title.
Please don't troll, I really need this.


On Fan Appreciation day, fans will be receiving free gifts. Every person Who passes through the turnstyle gets a team cap. Every second person through will get a pennant. Every sixth person gats a bat. Every 25th person gets an autographed baseball. Which person is the first one to get all the free gifts?

Answers

I tihnk you can get 150 by multiplying 25 by 6 to get 150

someone help me pls
i need it now
just simply choose the letter of the correct answer​

Answers

Answer:

Step-by-step explanation:

1. D

2. A

3. A

4. B

5. B

dont know the rest sorry

can someone help me?!!! I need help!! ASAP

Answers

Answer:

look at the picture .......................

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