All the people of a neighborhood pooled together and won the lottery. They won $10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answer:

[tex]\rm 4k(2k+ h)[/tex]

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]

Simplify ,

[tex]\rm\implies 8k^2+4hk [/tex]

In the above expression 4k is common in both the terms , so that ,

[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

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Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

[tex]\\ \sf\longmapsto m=3[/tex]

[tex]\\ \sf\longmapsto \dfrac{r-4}{-4+6}=3[/tex]

[tex]\\ \sf\longmapsto \dfrac{r-4}{2}=3[/tex]

[tex]\\ \sf\longmapsto r-4=6[/tex]

[tex]\\ \sf\longmapsto r=6+4[/tex]

[tex]\\ \sf\longmapsto r=10[/tex]

Answer:

Proportional

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36

Answer:

13/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

There is a slope formula for this.

(x1,y1)= (-4,6)

(x2,y2)= (2,7)

Plug it into the formula:

[tex]\frac{7-6}{2-(-4)}= \frac{1}{6}[/tex]

The slope is 1/6. It doesn't matter which set of coordinates you use for x1, y1.

Answer:

76

Step-by-step explanation:

PQRS is a Rhombus.

Property of Rhombus : -

All sides are equal.

So,

PQ = QR = RN = NP

RN = 5x + 16

QR = 9x - 32

QR = RN

5x + 16 = 9x - 32

9x - 32 = 5x + 16

9x - 5x = 16 + 32

4x = 48

x = 48 / 4

x = 12

Substitute x = 12 in RN,

RN = 5x + 16

= 5 ( 12 ) + 16

= 60 + 16

RN = 76

Since,

PQ = QR = RN = NP

Therefore,

PQ = 76

Answer:

a

Step-by-step explanation:

a linear function have a shape of y=ax+b

y=8x-3 is linear where a=8 and b=-3

Answer: y = 4(2x) - 3

Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.

Answer:

option b

hope ut is help full

Answer:

1,1 + 1oope k1 5l+<=3 is the 109199

Answer:

Adam baked 44 muffins.

Fred baked 88 muffins.

Step-by-step explanation:

Adam) Do 36 + 8 = 44

because it says Adam baked 8 more than Brad.

Fred) Do 44 x 2 because it says

He baked 2 time more than Adam

-kiniwih426

Answer:

40 Apples

Step-by-step explanation:

3/5 of the apples are good so divide 24 by 3 which is 8, then multiply 8 by 2 which is 16, add 24 and 16 together to get 40. Let me know if I'm wrong.

Answer:

Down

Step-by-step explanation:

The line slants downward from left to right if the slope is negative.

Answer:

yes

Step-by-step explanation:

because its right i know its right

Answer:

∠8 is 105° and ∠7 is 75°

Step-by-step explanation:

Angles 4 and 8 are corresponding angles, and are congruent.

Angles 8 and 7 are a linear pair

Answer:

51

Step-by-step explanation:

1. The median of a data set is the middle number within the data points.

2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.

Answer:

She pays 11.40 for the roast

Find unit rate then multiply

Answer:

1) 8 3/5

2) Option 3

Using the z-distribution, it is found that the margin of error of the confidence interval is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.

The margin of error of a z-confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

A similar problem is given at https://brainly.com/question/25214883

Lin's brother weighs 40 pounds, and Elena's brother weighs 40 kilograms, because kilograms are heavier than pounds and Elena's brother is bigger.

Answer:

H: 119 degrees.

G: 61 degrees.

M: 54 degrees.

K: 126 degrees.

Step-by-step explanation:

Answer:

x-intercept is 1  and y-intersect is -2

Step-by-step explanation:

To find the x-intercept let y = 0 and to find the y-intercept let x = 0 and solve each equation.

-4x + 2y = -4         Let x = 0  and solve for y

-4(0) +2y = -4

0 + 2y = -4

 2y = -4

    y = -4/2 ; y = -2       y- intercept is -2

                              Let  y = o and solve

     -4x + 2y = -4

      -4x + 2(0) = -4

     -4x + 0 = -4

      -4x = -4

         x = -4/-4 ;  x = 1           x-intercept is 1

Answer: on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think that kind of exsplains it step by step there but let me know if you information :) please leave a thanks and five stars I need some for my own quiz! Thank you!

Step-by-step explanation:

Answer:

(3x)¹²

Step-by-step explanation:

(3x³)⁴ can be simplified into (3x)¹²

The simplified value of the given expression is 3x¹²

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given that, an expression (3x³)⁴

Using the identity = (xᵃ)ᵇ = xᵃᵇ

(3x³)⁴ = (3x)³ˣ⁴ = 3x¹²

Hence, the simplified value of the given expression is 3x¹²

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