Evaluate: 4
4.[22 -(1 +0.5)

Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].

Given:

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

To find:

The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].

Solution:

We have,

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

Using distributive property, we get

[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]

[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]

[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]

On combining like terms, we get

[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]

[tex]=22+2\sqrt{2}[/tex]

On comparing with [tex]b+c\sqrt{2}[/tex], we get

[tex]a=22,b=2[/tex]

Therefore, the required form is [tex]22+2\sqrt{2}[/tex].

Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.

Answer:

d

Step-by-step explanation:

hope this helps

Answer:

where the graphs?

Step-by-step explanation:

Answer  

1,863.5

Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5

Answer:

I got x=2

Step-by-step explanation:

1. Simplify the quadratic equation into its standard form

More Icon

Ax^2 +Bxc=0

Simplify the equation by subtracting everything to the right of the equal sign from both sides of the equation and combining like terms.

x^2-12x+0=-20

x^2-12x+0+20=0

x^2-12x+20=0

The Quadratic formula provides the solution for Ax^2 +Bxc=0, in which A, B, and C are numbers (or coefficients), as follows:

The coefficients of our equation, x^2-12x+20=0, are:

A = 1

B = -12

C = 20

Simplify 64 by finding its prime factors.

We first calculate the expressions inside the parentheses from left to right and from inner to outer.

x=12-8/2

x=4/2

x=2

Answer:

0.75x=36

x=48

You need to sell 48 newspapers.

Step-by-step explanation:

0.75x=36

Divide both sides by 0.75 to isolate the variable x.

36÷0.75=48

x=48

Check your answer

48 × 0.75 = 36

Answer:

The length is 12 cm, and the width is 9 cm.

Step-by-step explanation:

The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.

We can use the Pythagorean theorem to write an equation.

Let the width = w = leg a

The length = w + 3 = leg b

The diagonal = the hypotenuse = 12 = c

a^2 + b^2 = c^2

w^2 + (w + 3)^2 = 15^2

w^2 + w^2 + 6w + 9 = 225

2w^2 + 6w - 216 = 0

w^2 + 3w - 108 = 0

(w + 12)(w - 9) = 0

w + 12 = 0   or   w - 9 = 0

w = -12   or   w = 9

Since a width cannot be a negative number, we discard the solution w = -12.

width = w = 9

length = w + 3 = 9 + 3 = 12

Answer: The length is 12 cm, and the width is 9 cm.

Answer:

x = 5

Step-by-step explanation:

3x + 2(2x − 1)= 33

simplify

3x + 4x - 2 = 33

7x - 2 = 33

add 2 to both sides

7x - 2 + 2 = 33 + 2

7x = 35

divide both sides by 7

7x/7 = 35/7

x = 5

Answer:

71

Step-by-step explanation:

The area of the rhombus will be 96 square units. Then the correct option is B.

The missing diagram is attached below.

Let a be the length and h be the height of the rhombus.

Then the area will be

Area = a × h square units

If x = 12 units, y = 4 units, and h = 8 units.

Then the area of the rhombus will be

A = 12 × 8

A = 96 square units.

Then the correct option is B.

More about the area of the rhombus link is given below.

https://brainly.com/question/15458057

#SPJ1

Answer:

96

Step-by-step explanation:

Answer:

(1) -27

Step-by-step explanation:

1, 2, 4, 8, 21, 27

4+8= 12

12÷2= 6

Answer:

6

Answer:

Concept: Geometric Identities

Answer:

I think it is 2

Step-by-step explanation:

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

Answer:

True.

Step-by-step explanation:

Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8

Plug in the corresponding numbers to the corresponding variables in the equation:

y > x + 5

(8) > (1) + 5

8 > 1 + 5

8 > 6

8 is greater than 6, ∴ y is greater than x + 5.

~

Answer:

yes it would

Step-by-step explanation:

x=1 + 5 is six

y=8

8 > 6

8 > 1

i think that's right lol

Answer:

m = 12n

Step-by-step explanation:

M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.

Answer:

9 1/3

Step-by-step explanation:

this is what i think and i hope im right

Answer:

11 1/5

Step-by-step explanation:

You can do 56 divided by 5 to answer this.

56 / 5 = 11 and 1/5

11 1/5

Answer:

switch I think cuz there is a negative

Step-by-step explanation:

Hope u have a nice day

Answer:

switch

Step-by-step explanation:

whenever u divide a number by a negative number across the inequality, the inequality sign switches

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex]Let\ the\ first\ digit\ of\ the\ two\ digit\ number\ be\ a\\Let\ the\ second\ digit\ of\ the\ two\ digit\ number\ be\ b\\Hence,\\We\ are\ given\ that,\\a+b=9\\Hence,\\b=(9-a)\\As\ we\ know\ that,\\The\ original\ number\ containing\ 2-digits\ can\ be\ written\ as: 10a+b\\Hence,\\The\ original\ number=10a+(9-a)\\The\ original\ number=9a+9\\\\[/tex]

[tex]Now,\\Lets\ consider\ the\ reversed\ number\ with\ the\ reversed\ digits\ of\ the\\ original\ number.\\Hence,\\Reversed\ number\ containing\ reversed\ digits\ can\ be\ written\ as:10b+a\\Hence,\\Reversed\ number=10b+a\\Reversed\ number=10(9-a)+a=90-10a+a=90-9a\\[/tex]

[tex]Now,\\We\ are\ given\ that,\\Original\ Number-9=Reversed\ number\\Or,\\Original\ Number-Reversed\ number=9\\Hence,\\9a+9-(90-9a)=9\\9a+9-90+9a=9\\18a=90\\a=\frac{90}{18}=5[/tex]

[tex]As\ a=5, b=(9-5)=4\\Hence,\\The\ original\ number=10a+b=10*5+4=50+4=54[/tex]

Answer:

-1

Step-by-step explanation:

Simplify both sides: 3x + (2(x) + 2(-9)) = 8x + x -14

Add/Combine like terms: 3x+2x= (5x-18) = (9x-14)

New Equation: 5x-18 = 9x-14

add 14 to both sides: 5x-4 = 9x

Subtract 5x from both sides: -4 = 4x

Divide both sides by 4 to get: -1 = x

Answer: x = -1

Answer:

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Step-by-step explanation:

(x + 4)(x - 5) = 4

x(x - 5) = [tex]x^{2}[/tex] - 5x

4(x - 5) = 4x - 20

[tex]x^{2}[/tex] - 5x + 4x - 20 = 4

[tex]x^{2}[/tex] - x - 20 = 4

[tex]x^{2}[/tex] - x - 20 - 4 = 0

[tex]x^{2}[/tex] - x - 24 = 0

a = 1

b = 1

c = -24

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)

Answer:

64 adult tickets were sold and 36 children tickets were sold

Step-by-step explanation:

i created two equations. 7A + 4C = 592 and A + C = 100. A stands for adult tickets and C stands for children tickets. in order to find the value of C, the children tickets, i took the second equation, A + C = 100, and subtracted A on both sides to get C = -A + 100. i then plugged the value of c into the first equation i created. i then got 7A + 4(-A+100) = 592. after that, i distributed the 4 into the parentheses and got 7A - 4A + 400 = 592. from there, you solve and get 3A = 192. divide 3 from both sides, and get the value of A = 64. then, you go back to the second equation, A + C = 100, and plug in your value of A to get 64 + C = 100. you can then go on to solve for C and get 36. your final answer is 64 adult tickets and 36 children tickets were sold.

Answer: C)2

Step-by-step explanation:

BECAUSE IT IS YASS BESTIEEEEE

Answer:

1 + 1 = 2 because this is literally the first thing you get taught when in kindergarten math.

take one finger, and then another finger, and it makes two fingers :)