The first few steps in deriving the quadratic formula are shown. A table listing the first few steps in deriving the quadratic formula Which best explains why is not added to the left side of the equation in the last step shown in the table? The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation. The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation. The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation. The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.

Answers

Answer 1

The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

How do you derive the quadratic formula?

The quadratic equation is an equation of the form; y = ax^2 + bx +c. It a polynomial equation of degree  2.

Note that; the reason why the term b^2 / 4a^2 is not added to the left side of the equation is because the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Learn more about quadratic formula:https://brainly.com/question/3800160

#SPJ2

Answer 2

Answer:

Answer is B Ed2020

Step-by-step explanation:

trust me


Related Questions

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answers

What's the equation of a line that passes through (-4,-7) and (4,-1)

Answer:

y=-x+3

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-1 - (-7)) / (4 - (-4))

   = 6 / 8

   = 3/4

y-intercept:

y = mx + b

use the slope above and anyone of the given points to find b. Let's use (4, -1)

(-1) = 3/4(4) + b

-1 = 12/4 + b

- 1 = 3 + b

b = -4

Equation of a line:

y = mx + b

use the m and b from above to form the equation of a line.

y = 3/4x - 4

USING STRUCTURE What type of pair of angles are 6 and 13?


Answers

Answer:

Consecutive interior angles

Step-by-step explanation:

This chart may also help

PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)

Line segment AB is shown on a coordinate grid:

1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.



2.) Line segment CD is shown on a coordinate grid:

A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.



3.) A shape is shown on the graph:

A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.


A rotation is shown in the drawing:

A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation

Answers

Answer:

1) choice B, they are equal in length

2) choice A, theyre equal in length

3) Choice D, (-3,0) (-3, -3) (-1, -3)

4) Choice A, Clockwise 90- degree rotation

Step-by-step explanation:

The statements which describe A'B' is:

A'B' and AB are equal in length ⇒ (B)

Step-by-step explanation:

Let us take about reflication:

⇒ Reflections are mirror images, means the shape or the size of

  the figure does not affect by reflection, think of "folding" the

  graph over the y-axis or the x-axis

⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in

   the y-axis and used the formula (x, y) → (x, -y) for a reflection in

   the x-axis.

In our question segment AB, where A = (1, 3) and B = (5, 3) is

reflected about the y-axis

By using the rule above

∴ A' =(-1, 3)

∴ B' = (-5,3)

∵ Reflection does not change the shape or the size of the original figure

∴ Line segment A'B' has the same length of line segment AB

The correct answer is:

A'B' and AB are equal in length

You can check your answer by finding the lengths of AB and A'B'

∵ The length of AB = 5 - 1 = 4 units

∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units

∴ AB = A'B'

Note:

If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.

Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buy 2 stamps each week. when will Mary have more stamps than Nick

Answers

Answer:

She already does have more than Nick!

Step-by-step explanation:

Evaluate 6-2
A.
36
B.
1
36
C. -36
D. -12.

Answers

It’s -12 because if u multiply u get the same thing

Please find the value of x with explaination​

Answers

the value of x is 36. is it right or wrong?

Which equation is represented by the graph below?

Answers

Answer:

y = 2/3x + 6

Step-by-step explanation:

please help!!!!!! im desperate!!!

Answers

Answer:

148degrees

Step-by-step explanation:

add 180 plus 32 which is 212 subtract that from 360 which is 148

The model represents an equation. What value of x makes the equation true?

Answers

Answer:

i'm pretty sure the answer is x=3

Step-by-step explanation:

Answer: I think it’s x=2

A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages

Answers

Given:

Father is 30 years older than the son.

After 8 years , he will be 4 times as old as his son.

Find:

their present ages

Solution:

Let the son's age be x and age of father be y years

⟹ Father's age = Son's age + 30

⟹ y = x + 30 -- equation (1)

Also,

Son's age after 8 years = (x + 8) years.

Father's age after 8 years = (y + 8) years.

According to the above condition,

⟹ y + 8 = 4(x + 8)

⟹ y + 8 = 4x + 32

Substitute the value of y from equation (1).

⟹ x + 30 + 8 - 32 = 4x

⟹ 6 = 4x - x

⟹ 6 = 3x

⟹ 6/3 = x

⟹ 2 = x

Substitute the value x in equation (1).

⟹ y = 2 + 30

⟹ y = 32

Therefore,

Son's present age = x = 2 years.

Father's present age = y = 30 years.

I hope it will help you.

Regards.

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:

Aurora has a cell phone plan that charges $65 for phone service plus $12 for each gigabyte of data used each month.If her bill for September is $113, how many gigabytes of data did she use in September?

Enter your answer as a number, like this: 42

Answers

Answer:

4

Step-by-step explanation:

65 + 12x=113

12x=113-65

12×=48

×=48/12

x=4

WILL MARK BRAINLIEST
Jerome has read 50 pages of a novel. He plans to read a certain number of pages, p, each day from Monday to Friday. Which inequality shows that Jerome wants to have read at least 85 pages by the end of the day on Friday?

A. 50 + 5p ≥ 85
B. 50 + 5p ≤ 85
C. 5 (50 + p) ≥ 85
D. 5 (50 + p) ≤ 85

Answers

Answer:

There ya go

Step-by-step explanation:

If Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85

Given that the number of pages he read each day is "p", the number of pages he will read from Monday to Friday is 5p (Monday to Friday is 5 days)

If he has read  50 pages of a novel, the total number of books he has read will be 50 + 5p

If Jerome wants to have read at least 85 pages by the end of the day on Friday, then the inequality that represents the situation will be 50 + 5p≥ 85

Learn more here: https://brainly.com/question/15816805


8x +32
Factor the gcf

Answers

Answer:

8(x+4)

Step-by-step explanation:

8(x+4)
8x+32
nope that helped

PLEASE HELP, URGENT. I’ll name Brainly if correct

Answers

Answer:

y=5-9x

Step-by-step explanation:

y is means y=

5 less than means 5-

product of 9 ans x means 9x

so... y=5-9x

Answer:

y = 9x - 5

Step-by-step explanation:

'is' = equal to

'less than' = difference/subtract

'product' = multiply

y = 9x - 5

select all ordered pairs that satisfy the function of y=2/3x+1.
(-3,-1)
(6,4)
(-6,3)
(3,3)

Answers

Answer:

A.

Step-by-step explanation:

Plugging in all the values into the equation, only A holds a true statement.

A. Sorry if wrong hope it helps tho

21.10 or 2.117 is bigger

Answers

Answer:

21.10

Step-by-step explanation:

The numbers before the decimal point represents the whole number so therefore, 21 as a whole number is bigger than 2.

Answer:21.10

Step-by-step explanation:

21.10

2.117

Look at place value.

What are the similarities and differences between types of quadrilaterals? Plz help me in math exam ans his qnn i will mark as brainliesttt ⚠

Answers

Answer:

Look below

Step-by-step explanation:

There are many different kinds of quadrilaterals, but all have several things in common: all of them have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals 360 degrees.

Some differences include the shape and the number of parallel sides each quadrilateral has

Hope this helps :)

been an hour pls help 3

Answers

Answer:

a = 3.09 m/s^2

Step-by-step explanation:

v^2 = Vo^2 +2ax

v= final velocity

Vo = initial velocity

a = acceleration

x = distance

(-10.9)^2 = (-27.7)^2 + 2(a)(-105)

118.81 = 767.29 - 210a

-210a = -648.48

a = 3.09 m/s^2

[tex]( {v})^{2} - ({v(0)} \: )^{2} = 2 \times a \times ∆x[/tex]

[tex]( { - 10.9})^{2} - ({ - 27.7})^{2} = 2 \times a \times - 105 \\ [/tex]

[tex]118.81 - 767.29 = - 210 \times a[/tex]

[tex] - 648.48 = - 210 \times a[/tex]

Negatives simplified :

[tex]648.48 = 210 \times a[/tex]

Divided both sides by 210 :

[tex]a = \frac{648.48}{210} \\ [/tex]

[tex]a = 3.088 \: \: \frac{m}{ {s}^{2} } \\ [/tex]

_________________________________

I think it's the correct answer.

Hope helped.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

sam eats 1/4 of a pizza joe eats 1/2 of the remaining pizza. what part of the original pizza is left?

Answers

Answer:

1/4 of the pizza is left

If Sam eats 1/4 of the pizza, we must subtract 1/4 from 1.

1 - 1/4 = 3/4.

Now, Since Joe eats 1/2 of the pizza, we subtract 2/4, since 1/2 = 2/4.

3/14 - 2/4 = 1/4.

Answer = 1/4

Jim and his friends are going to the Del Mar Fair and find they have two ticket options. In one option each person could buy an admission ticket for $5 and then pay $0.25 for each ride. The other option is to buy an admission ticket for $2 and then pay $0.75 a ride. What do you think Jim should do?

Answers

Step-by-step explanation:

let the cost of the options be y

since they are two already we can model the cost as

For the first ticket option

y=5+0.25(2)

y=5+0.5

y=$5.5

For the second ticket option

y=2+0.75(2)

y=2+1.5

y=$3.5

They should go for the second ticket option since it is $2 less than the first option

Chucky grabbed 111111 items in the grocery store that each had a different price and had a mean cost of about \$4.44$4.44dollar sign, 4, point, 44. On his way to the register, he gave in to an impulse to add a 12^\text{th}12 th 12, start superscript, start text, t, h, end text, end superscript item: an entire wheel of cheese that cost \$39.99$39.99dollar sign, 39, point, 99. [Show data] How will adding the wheel of cheese affect the mean and median? Choose 1 answer:

Answers

Answer:

[tex]The[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]B[/tex] = Both the mean and median will increase, but the mean will increase by more than the median

- written in [tex]2/5/2021[/tex]

Josh took his girlfriend out to dinner for her birthday. Dinner was $74.96. Tax on the meal was 7.5% of the price of the meal. They left a tip that was 18% of the meal and tax. What is the total cost of the meal?

Answers

Answer:

$97.07

Step-by-step explanation:

7.5% of 74.96 is 5.62

18% of 74.96 is 13.49

74.96+5.62+13.49=97.07

I need to figure this out in simplest form but I’m stuck

Answers

Answer:

z ≥ 2

Step-by-step explanation:

Step 1: Write inequality

-7z - (-5z - 4) ≤ -3z - 2 + 4z

Step 2: Solve for z

Distribute negative: -7z + 5z + 4 ≤ -3z - 2 + 4zCombine like terms: -2z + 4 ≤ z - 2Add 2z to both sides: 4 ≤ 3z - 2Add 2 to both sides: 6 ≤ 3zDivide both sides by 3: 2 ≤ zRewrite: z ≥ 2

write the number form 2.1 x 104 in standard form​

Answers

Answer:

218.4

Step-by-step explanation:

You multiply the numbers together.

Write the equation of the line below, in slope-intercept form.

Answers

Answer: y=3x-3

Step-by-step explanation: Formula: y=mx+b The slope is m which is 3, rise over run, and b is the y-intercept which is -3.

Answer:

y=3x+-3

Step-by-step explanation:

the slope is 3/1 which is 3.

the y intercept is the point at which theine crosses te y axis so it's-3

y=mx+b

y=3x+-3

Factor 27 + d^ 3completely.

Answers

Answer:

(3+d)(9-3d+d^2)

Step-by-step explanation:

a^3 + b^3 = (a+b)(a^2-ab+b^2)

a= 3

b= d

40+5-9x+4
I need help with this it needs to be simplified

Answers

Step-by-step explanation:

40 + 5 - 9x + 4

45 - 9x + 4 = 0

41 - 9x = 0

41 = 9x

41/9 = x

Could someone please answer this question!!?

Answers

The answer is 14
..........

Help please!! I’ll give brainlies

Answers

Answer:

90= 1st

59=2nd

48= 3rd

-56=4th

-80=5th

-84=6th

Step-by-step explanation:

Answer:

1 (6th) 90, 2(2nd) -80 3 (3rd) -56 4th(1st) -84 5 (5th) 59 6th (4th) 48

Step-by-step explanation:

(9.r + 1)
(11x - 23),

Help me please

Answers

Answer

X= 8 i answered it  as fast as possible

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