When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answer:

x = 2, 4

Step-by-step explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!

Answer:

[tex]250cm^2[/tex]

Step-by-step explanation:

length = 5 + 2w

width = w

P = Sum of all sides

P = 2 * (5 + 2w) + 2w

P = 10 + 4w + 2w

P = 6w + 10

Given Perimeter = 70cm

We substitute

6w + 10 = 70

6w = 70 - 10

6w = 60

w = 60/6

w = 10cm

Since length is 5 + 2w

length = 5 + (2 * 10)

length = 25cm

Area = lw

Area = 25 * 10

Area = [tex]250cm^2[/tex]

Answer:

let

b=x then'

l= 2x+5

Now

p=70

2(l+b)=70

2(x+2x+5)=70

6x+10=70

6x=60

x=6

b=x=10

l=2x+5=25

area of rectangle = l*b

25*10

=250 answer

Answer:

Step-by-step explanation:

To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right

Answer:

I would say the one that has the blue dot. bc, the absolute value of -6 is 6.

Answer:

The second one -6[------------]0 with 6 on top.

Step-by-step explanation:

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

There's two cases here,

Case # 1 - when 2x + 6 = 0

Case # 2 - when x + 6 = 0

Hence, the roots are -3 and -6 ~

Answer:

He needs 132

Step-by-step explanation:

hope it helps

The answer is C) Step 3

Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.

The right steps are:

-4/5 / 8/-3

Flip the second part to multiply:

-4/5 * -3/8

Multiply:

12/40

Simplify:

3/10

I hope this helps!

Answer:

425,601,006

Step-by-step explanation:

Answer:

Step-by-step explanation:

Pay attention to order of vertices when comparing the congruent parts or figures.

C and D as well as B and E are corresponding vertices according to angle marks and side marks.

In ∆ABC and ∆DEF

So

[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]

By SSS congruence

Answer:

18.06

Step-by-step explanation:

7+6=13

34+38=72

13 IS 18.06 PERCENT OUT OF 72.

Answer:

Percentanges are factors so

41 Women + 44 Men = 85 shoppers

7 Women + 6 Men = 13 Online shoppers

13 out of 85 13/85 = 15% of total people surveyed shop online

Step-by-step explanation:

Hope this helps! BH

Answer:

C. (I think)

Step-by-step explanation:

So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

Answer:

d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

first triangle is a 30-60-90

so, sides x-x√2-2x

x=2

therefore d=2√2

second triangle is 45-45-60

sides, 1-1-√2

which means b√2=6

b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator

b=6√2/4 , simplify

b=[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

B. Divide by 8.

Step-by-step explanation:

The total volume of both storage is 76 ft³

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

Learn more about volume of cube here:

https://brainly.com/question/11168779

#SPJ2

Answer:

A.900 square feet

Step-by-step explanation:

s×s=A

30×30=900

Answer:

11/20

Step-by-step explanation:

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

Answer:

Step-by-step explanation:

y=x²-2x-3

or

y=x²-2x+1-1-3

or

y=x²-2x+1-4

or

y=(x-1)²-4

vertex is (1,-4)

Answer:

3

Step-by-step explanation:

1+2+3+3+4+5

6

=18 =3

6

=3

Answer:

its F for the inequality to be true

Answer:

1 1/3

Step-by-step explanation:

it's bc the number is closer to one and not in the middle. have a great day

Answer:

The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.

:)

Answer:

6/9

Step-by-step explanation:

1/3 is half 12/36 is 2×6 and 6×6 4/12 is 2×2 and 6×2 making 6/9 the odd one out as 6 can't go into 9 without making a decimal