The steps to derive the quadratic formula are shown below:


Step 1 ax2 + bx + c = 0
Step 2 ax2 + bx = − c
Step 3 x2 + b over a times x equals negative c over a
Step 4


Provide the next step to derive the quadratic formula.
x squared plus b over a times x minus quantity b over 2 times a all squared equals negative c over a minus quantity b over 2 times a all squared
x squared plus b over a times x plus quantity b over 2 times a all squared equals negative c over a plus quantity b over 2 times a all squared
x squared plus b over a times x minus quantity 2 times a over b all squared equals negative c over a minus quantity 2 times a over b all squared
x squared plus b over a times x plus quantity 2 times a over b all squared equals negative c over a plus quantity 2 times a over b all squared

Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

Answer:

whats the question

Step-by-step explanation:

thats the answer

Answer:

90%

Step-by-step explanation:

18/20 × 100 = 90%

I hope this helps!

Answer:

Sean answered 90% of the questions in the quiz correctly

oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

Answer:

Less than 4 I guess??

This part I have scribbled so I can answer

no x Ehud ihehiexbhhenxkjwbhxnwbxhuebxbuebxh

Answer:

D

Step-by-step explanation:

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

Answer:

c

Step-by-step explanation:

it will eventually cancel

Answer:

I guess its the 3rd one not sure

Answer:

i don't know

Step-by-step explanation:

sorry sorry sorry berry much

Answer:

So we have this equation:

10/27 =  a/135

What we can do is multiply  both sides by 27 and 135:

10*135 = a * 27

1350 = 27a

a = 1350/27. = 50.

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

Answer:

84.5

Step-by-step explanation:

12.3(3)+11.9(4)=84.5

Answer:

87.5

Step-by-step explanation:

12.3 x 3= 39.9=s

11.9 x 4= 47.6=t

47.6 + 39.9= 87.5

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

Answer:

6.5feet

Step-by-step explanation:

Using the SOH CAH TOA identity

<K = 75 degrees

opposite = LM = 6.3 feet

Hypotenuse = KL

sin theta = opp/hyp

sin 75 = 6.3/x

x = 6.3/sin75

x = 6.3/0.9659

x = 6.5feet

Hence the length of KL to the nearest tenth of a foot is 6.5feet

Answer:

2,3,5,7,11

Step-by-step explanation:

see above for the first five prime numbers

Answer:

2, 3, 5, 7, 11

hope this helps

have  a good day :)

Step-by-step explanation:

Given:

[tex]-\dfrac{33}{16}[/tex] should be divided by a number to get [tex]-\dfrac{11}{4}[/tex].

To find:

The unknown number.

Solution:

Let [tex]-\dfrac{33}{16}[/tex] should be divided by x to get [tex]-\dfrac{11}{4}[/tex].

[tex]\dfrac{-\dfrac{33}{16}}{x}=-\dfrac{11}{4}[/tex]

[tex]-\dfrac{33}{16}=-\dfrac{11}{4}x[/tex]

Multiply both sides by 16.

[tex]-33=-44x[/tex]

Divide both sides by -44.

[tex]\dfrac{-33}{-44}=x[/tex]

[tex]\dfrac{3}{4}=x[/tex]

Therefore, the unknown number is [tex]\dfrac{3}{4}[/tex].

Answer:

36 degrees

Step-by-step explanation:

There's 180 degrees in a triangle.

Since they're supplementary angles, we do 180-142=38.

We now know that 106+38+x=180.

Solve for x: x=36

The area of the parking lot is 4606 square meter.

What is parallelogram?

It is a special type of quadrilateral that has both the pairs of opposite sides parallel and equal.

What is the area of parallelogram?

The area of a parallelogram is the product of its base and height.

We have,

length of two adjacent sides are 70meters and 100meters.

And base of parallelogram is 70m.      (length of parallelogram is its base)

Angle between the adjacent sides is 70 degrees.

Let, side AB and BC be the two adjacent sides whose lengths are 70m and 100m.And h be the height of the parallelogram.

For the height of the parallelogram

In ΔADE, we have

[tex]sin70=\frac{DE}{AD}[/tex]           [tex](sinx=\frac{perpendicular}{hypotenuse})[/tex]

⇒ [tex]0.9397=\frac{h}{70}[/tex]

⇒ [tex]0.9397[/tex]×70[tex]=h[/tex]

⇒ h=65.8m

Formula to find the area of parallelogram:

Area= base× height

so, the area of parking lot=base × height

substitute the value of base and height of the parallelogram in the above formula.

Therefore,

[tex]Area=65.8[/tex]×[tex]70[/tex]

[tex]Area=4606m^{2}[/tex]

Hence, the area of the parking lot is 4606 square meter.

Learn more about area of parallelogram here:

https://brainly.com/question/21576252

#Tag #SPJ2

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

[tex]perimeter = a + b + c[/tex]

[tex]perimeter = 4 + 3 + c[/tex]

//

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {4}^{2} + {3}^{2} = {25}^{2} [/tex]

[tex] \sqrt{25} = 5[/tex]

[tex]c = 5 \: meters[/tex]

//

[tex]perimeter = 4 + 3 + 5[/tex]

[tex]perimeter = 12 \: meters[/tex]

//

[tex]the \: length \: of \: the \: fencing \: is\: 12 \: meters[/tex]

Answer:     120

Step-by-step explanation:

Next, write ratios to represent the unknown actual length and width of the display to the scale length and width of the display.

LengthWidth=scaleactual=4l=scaleactual=8w

Then, write two proportions by setting the two length ratios equal to one another and the two width ratios equal to one another. The given unit is feet.

LengthWidth=4l=1160=8w=1160

Next, cross multiply each equation.

LLWW=4×160=640 feet=8×160=120 feet

Then, to find the area of the display, multiply length times width.

The actual size of the dinosaur is 90 feet.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A model of a dinosaur is 3.75 feet,

and the scale-factor for the actual dinosaur is 1:24.

So,

the size of the actual dinosaur = model size x the scale-factor

The size of the actual dinosaur = 24 x 3.75

The size of the actual dinosaur = 90 feet.

Therefore, the actual size is 90 feet.

To learn more about the scale factor;

https://brainly.com/question/29464385

#SPJ6

Answer:

let the opposite angle of 43=y

57°+43°+y=180°[by sum of all angle is 180°]

100+y=180°

y=180°-100

y=80°

opposite angle of x is equal to the 80°

so the equation will be like this

x+x+80°=180°

2x+80°=180°

2x=180°-80°

2x=100

x=100/2

x=50°

so the value of x is 50°

Answer:

El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal

Step-by-step explanation:

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

Answer:

6/5 is bigger

Step-by-step explanation:

6/5 simplifies to 1 and 1/5 which is greater than just 4/5

Answer:

6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.

Step-by-step explanation:

hope this helps

Answer: what does this say please help

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

using Sohcahtoa we know that we can only use Soh (since we have the opposite,16 and the hypotenuse, 20)

D is the only one that uses the correct equation of S = o/h

(this explanation isn't the best so please search up Sohcahtoa if it doesn't make sense)