how many solutions does a quadratic equation that can be written as the difference of squares have?

Answers

Answer 1

Answer:

there are teo solutions that can be written as tge difference of square have.

Answer 2

There are two possible solutions for the quadratic equation that can be written as the difference of squares.

What is a quadratic equation?

A quadratic equation is of the form -

y = f(x) = ax² + bx + c

Given is a quadratic equation that can be written as the difference of squares.

A quadratic equation that can be written as the difference of squares is of the form -

(x² - a²)

For the roots, we can write the equation as -

(x² - a²) = 0

x² = a²

x  = ± a

Therefore, there are two possible solutions for the quadratic equation that can be written as the difference of squares.

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Related Questions

3p^2-24+36
factorise with appropriate identity​

Answers

Answer:

3(p^(2)+4)

Step-by-step explanation:

helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd

Answers

Answer:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

Step-by-step explanation:

Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property

Answers

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Answer:

C

Step-by-step explanation:

Because I am a genius

If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *

Answers

$2 can get you one candy bar. So if you want 6 it would cost $12

Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answers

Answer:

A

Step-by-step explanation:

There is no way to tell a pattern.


In the past month, Kaitlin rented 3 video games and 6 DVDs. The rental price for each video game was $2.60. The rental price for each DVD was $3.30. What is
the total amount that Kaitlin spent on video game and DVD rentals in the past month?

Answers

Kaitlin rented 3 video games and 6 dvds.

2.60 x 3 = 7.50 (dollars and cents)

3.30 x 6 = 19.80 (dollars and cents)

add them together to get the total cost in the past month.

(to find the answer you know the price for a single video game/DVD so what you do is multiply those prices times how much they bought)

ex: $2.60 x 3 <-- the amount of games she bought.

i hope this helps you.

Answer:

Kaitlin spent $27.60 on video games and DVDs in the past month.

Step-by-step explanation:

We know the price of one video game, one DVD, and the amount that was rented in the past month.  

To find the total cost of the video games, multiply:

$2.60 x 3

= $7.80 spent on video games in the past month

To find the total cost of the DVDs, multiply:

$3.30 x 6

= $19.80 spent on DVDs in the past month

To find the total cost, add the total cost of video games and DVDs together:

$7.80 + $19.80 = $27.60

Conclusion: Kaitlin spent $27.60 in the past month on video games and DVDs.

Solve for x plz show all the work. x/3=6

Answers

Answer: x=18

Step-by-step explanation:

X/3=6

We want to get x alone so we multiply both sides by 3

X=18

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

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Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?

Answers

Answer:

Neptune is 80 times farther from the Sun than Mercury.

It takes 4 hours to reach the light from the Sun to Neptune.

Step-by-step explanation:

Given that the average distance between the Sun and Mercury,

[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.

The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes

Let v m/s  be the speed of light.

So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex]  [as speed = distance/time]

Now, the average distance between the Sun and Neptune,

[tex]d_2=2.8\times 10^9[/tex] miles.

The ration of the average distance of Neptune and Mercury from Sun,

[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]

[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]

So, Neptune is 80 times farther from the Sun than Mercury.

The time to reach the light from the sun to Neptune,

[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]

[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]

[tex]=\frac {d_2}{d_1}\times t_1[/tex]

[tex]=80\times 3[/tex]  [using equation(ii)]

=240 minutes

=4 hours [as 1 hour =60 minutes]

Hence, it takes 4 hours to reach the light from the Sun to Neptune.

Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.

Given the Parameters :

Mercury's average distance from sun = 35000000 miles

Time taken for light to travel to mercury = 3 minutes

Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]

Number of times Neptune is father from the sun than Mercury :

(Neptune's distance) ÷ Mercury's distance

[tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]

Hence, Neptune is 80 times farther from the sun than Mercury.

Time taken for light to reach Neptune :

Time taken to each mercury × 80

3 minutes × 80 = 240 Minutes

60 minutes = 1 hour

240 minutes = (240 ÷ 60) = 4 hours

Therefore, it would take 4 hours for light to reach Neptune.

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If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Answers

Answer:

            [tex]\bold{\dfrac{225}4}[/tex]

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]


Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?​

Answers

Answer:

total cost is £244.4

Step-by-step explanation:

( 37 * 4 ) + ( 15 * 4 ) = 208

208 * .175 = 36.4

208 + 36.4 = 244.4

HOPE THIS HELPS

Solve for Y
2x+ y/3 = 4
a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12

Answers

Answer:

y=−6x+12

so A

Step-by-step explanation:

just help and explain so i can understand!!

Answers

Answer:

‒6

Step-by-step explanation:

‒2‒4=‒6

or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve

anyway you can understand as you want as you like

i think it is clear

i hope you understand me what i am saying

1/2*x=3/4(x-2) what is the answer?

Answers

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

Epicly epic epicness which is accounted to be epicly epic (36 points)

Answers

Answer:

epic

Step-by-step explanation:

Answer:

VERY EPIC

Step-by-step explanation:

7s+5c=181.40
9s+1c=132.80

Answers

Answer:

s=12.7

c=18.5

hope this helps :)

Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?

Answers

Answer:

7 hours

Step by step instructions:

$3 x 7 hours = $21

$21 + $6 = $27

1. (3x + 7) + (8x + 2)

Answers

11x+9


Step by step:
Remove the parenthesis
3x+7+8x+2
Collect like terms
11x+7+2
Add 7+2
11x+9

So yeah can anyone help me out be a tone

Answers

Answer:

p = -4

Step-by-step explanation:

-3( 2+4p) + 7 = 49

Subtract 7 from each side

-3( 2+4p) + 7 -7= 49-7

-3( 2+4p)  = 42

Divide by -3

-3( 2+4p) /-3 = 42/-3

( 2+4p)  = -14

Subtract 2 from each side

2+4p-2 = -14-2

4p = -16

Divide by 4

4p/4 = -16/4

p = -4

What is the word name for 716,270,408?

Answers

Answer:

Seven hundred sixteen million, two hundred seventy thousand, four hundred eight

Step-by-step explanation:

Answer:

seven hundred sixteen million two hundred seventy thousand four hundred and eight

Step-by-step explanation:

Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.

Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.

Answers

Step-by-step explanation:

A.

[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]

Every number to the power of 0 gives us 1

[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]

B.

[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]

1 to the any power gives us 1.

[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

help = brainleist
please help

Answers

Answer:

The answer is D

Step-by-step explanation:

Hope this helps

please mark as brainlist

(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?

Answers

Answer:

Step-by-step explanation:

first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x  and  6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.

Pls help me ASAP!!!!!

Answers

Answer:

2 4/5

Step-by-step explanation:

You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5

Answer:

It is c, 2 4/5

Step-by-step explanation:

5 goes into 14 2 times with 4/5 left over

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D

Answers

Answer:

c. 5 units left and 3 units up

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.

If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)

The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up

Which is NOT true?
A
15 = 15
B
15 = 18 - 3
C
15 + 3 = 11 + 7
D
15 + 3 = 15 + 13

Answers

Answer:

D 15 +3=15+13

Step-by-step explanation:

Expression 15 + 3 = 15 + 13 is not true because left hand side is not equal to right hand side. Option D is correct.

Given that,
From options
A. 15 = 15  B. 15 = 18 - 3  C. 15 + 3 = 11 + 7  D.15 + 3 = 15 + 13

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with number of operations according to the statements

In the question is to be determined which is not true, by analyzing that LHS and RHS of the expression should be equal

A. 15 = 15
   LHS = RHS


B. 15 = 18 - 3
 LHS = RHS

C. 15 + 3 = 11 + 7  
       LHs = RHS

D.15 + 3 = 15 + 13
        18 ≠ 28
     LHS ≠ RHS

Thus, 15 + 3 = 15 + 13 is not true. Option D is correct.

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In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Answers

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}[/tex]. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

[tex]\frac{sin(X)}{x} = \frac{sin(W)}{w}[/tex]

Plug in:

[tex]\frac{sin(68)}{x} = \frac{sin(93)}{520}[/tex]

The answer when solving for x is the above

Answer:

483

Step-by-step explanation:

delta math

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

A rectangular park 40 yards wide was redesigned, and a path 1 yard wide was built around it. How long was the park before if, after the path was built, its area became 4200 square yards?

Answers

Answer:

98 yards

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

The length of the park was 98 yds, before the path was built.

Answer:

98 yards

Step-by-step explanation:

First we will list our values

new w: 42

old w: 40

old l: x

new l: x+2

we are adding 2 to the new values as there is 1 yard on either side

now we will find the new area:

42 * (x+2) =4200

42x+84=4200

42x=4116

x=98

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write a letter to your mom abroad Thompson down the street from his home to Cameron's house. Along the way, he stopped at a bake to pick up cupcakes. if he began at (10,-9), ended at (12,-7),and stopped at the bakery at (11,-8), what are the ratios to represent his trip? Select all that apply.1/12/11/41/2 Rewrite the expression using a single, positive exponent: 14^-3x14^12 Best answer gets brainliest 2+2 A popular diet company hires a physician to advertise its weight-loss program. Which sourcevariable is the company trying to influence?Select one:O a. LikeabilityO b. Originalityc. SimilarityO d. Credibility In the question How does pineapple consumption affect the number of digestive bacteria?, pineapple consumption isA) the control group B) independent VariableC) dependent variable D) experimental group Bonjour! j' (1) cours de littrature le jeudi. nous (2) un professeur sympa. mais ma copine caroline n' (3) pas de chance. elle (4) un professeur d'histoire dsagrable. elle et ses camarades de classe (5) un examen difficile vendredi. tu (6) envie de rencontrer mon professeur de littratureLucie is sending an email to her sister. Fill in the blanks with the correct forms of avoir in the present tense (numbers are the blank) what are the similarities and differences of reading and writing. write at least 2-3 similarities and differences. what equation represents the line that passes through (-2,-1) and has a slope of 5 Swifty Company purchased equipment for $256,800 on October 1, 2020. It is estimated that the equipment will have a useful life of 8 years and a salvage value of $12,000. Estimated production is 48,000 units and estimated working hours are 20,400. During 2020, Swifty uses the equipment for 600 hours and the equipment produces 1,000 units. Required:Compute depreciation expense under each of the following methods. Swifty is on a calendar-year basis ending December 31. a. Straight-line method for 2020 $enter a dollar amount. b. Activity method (units of output) for 2020 $enter a dollar amount. c. Activity method (working hours) for 2020 $enter a dollar amount. d. Sum-of-the-years'-digits method for 2022 $enter a dollar amount (e) Double-declining-balance method for 2021 Which element has 16 protons in its nucleus?neonoxygensodiumsulfur Read the excerpt from Narrative of the Life of Frederick Douglass.If any one thing in my experience, more than another, served to deepen my conviction of the infernal character of slavery, and to fill me with unutterable loathing of slaveholders, it was their base ingratitude to my poor old grandmother. She had served my old master faithfully from youth to old age. She had been the source of all his wealth; she had peopled his plantation with slaves; she had become a great-grandmother in his service. She had rocked him in infancy, attended him in childhood, served him through life, and at his death wiped from his icy brow the cold death-sweat, and closed his eyes forever.Which line from this excerpt contains imagery?She had served my old master faithfully from youth to old age.She had been the source of all his wealth. . . .[S]he had become a great-grandmother in his service.[A]nd at his death wiped from his icy brow the cold death-sweat. . . . You are building a bridge, and you want to use a metal with the strongest metallic bonds. Which hypothetical element would you use? Metal A - melting point of 236 degrees Celsius Metal B - melting point of 2,678 degrees Celsius Metal C - melting point of 1,362 degrees Celsius Metal D - melting point of 800 degrees Celsius what is the journey around the sun by earth called, and how long does it take? Is virus living or non living things . What is the best way to organize and present the ideas in an informative report?A) an interwoven format that bounces between ideasB) one large paragraph focused on only one ideaC) outline format with numerous bullet pointsD) the main idea supported by more specific evidence Suppose you are a graduate and want to see what jobs are available in your field. What would be the best avenue for finding those job openings?professional organizationscollege/university officesInternetwant ads Can yall please help me with my question?? Raj and his friends went to the movies today and ate 875 Which steps can be used to find how much popcorn pieces of popcorn, or 125% more than they ate when Raj and his friends ate at the movies last week? they went to the movies last week. Check all that apply. Popcorn 125 + 750 = 875 eaten today 0 125 875 O 125 x 7 = 875 100 x 7 = 700 pieces of popcorn 100 + 750 = 850 pieces of popcorn 0 100 ? 125 + 875 = 1000 pieces of popcorn Popcorn eaten last week Displacement is called vector quantity. Why?