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We are given that ,

[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}=a+b\sqrt{2}}[/tex]

Consider LHS;

[tex]{:\implies \quad \sf \dfrac{12+\sqrt{128}}{1-\sqrt{2}}}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}}[/tex]

Rationalizing the denominator we have ;

[tex]{:\implies \quad \sf \dfrac{12+8\sqrt{2}}{1-\sqrt{2}}\times \dfrac{1+\sqrt{2}}{1+\sqrt{2}}}[/tex]

[tex]{:\implies \quad \sf \dfrac{(12+8\sqrt{2})(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12(1+\sqrt{2})+8\sqrt{2}(1+\sqrt{2})}{1-2}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12+12\sqrt{2}+8\sqrt{2}+16}{-1}}[/tex]

[tex]{:\implies \quad \sf \dfrac{28+20\sqrt{2}}{-1}}[/tex]

[tex]{:\implies \quad \sf -28-20\sqrt{2}}[/tex]

Hence, we can conclude that ;

Hey there!

Step 1: Calculate percentage

Since 30% of the marbles are green

=> 80 × 30/100

=> 8 × 30/10

=> 240/10

=> 24

So, 24 of the marbles are green

Step 2: Substract 24 from 80

=> 80 - 24

=> 56

Therefore, 56 marbles are not green

Answer:

Step-by-step explanation:

please see attached a sketch of the solution for your reference

What is a sinusoidal wave?

Alternatively called a sine wave is a type of wave that shows a repetitive pattern or oscillation, it normally starts from a low point moves to the next point which is usually higher than the previous and repeats itself as the whole process continues

Step-by-step explanation:

Number of socks: 3+4+5= 12

Number of red socks= 4

Red socks/other socks= 4/12

Simplify: fraction: 1/3

percentage: 33.33%

decimal: 0.3333

Answer:

18/24 for the first one

Step-by-step explanation:

Answer:

783 seeds in each watermelon

Step-by-step explanation:

bc if each watermelon has 87 seeds u just multiply

Answer:

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

36/4=9

40/4=10

Answer:

1. Square is a box shape so you can tell her it can be shaped like an package

2.Tell Alex any real numbers a and b, if ab = 0, then that means a equals zero, or b equals zero, but sometimes both a and b equal zero

Step-by-step explanation:

I hope this helps!

IMHO I think Alex will be really confused

Answer:

1928374.193 %

thats my answer

Answer146°

Step-by-step explanation:The supplement of 34° 34 ° is the angle that when added to 34° 34 ° forms a straight angle (180° 180 °). 180°− 34° 180 ° - 34 ° Subtract 34 34 from 180 180.

Supplementary angles have sum 180°

[tex]\\ \sf\longmapsto x+34=180°[/tex]

[tex]\\ \sf\longmapsto x=146[/tex]

Answer:

Just leave it how it is, you don't have to do anything with the negative symbol.

Answer: Finding the slope

Step-by-step explanation:

I'm sorry but the pic is a but blurry so basically you pick two points and use the equation 2y-y1/2x-1x then simplify if you can  find a better picture I would love to help.

Answer my question please on my page :)

Answer:

I cant see the reference image so I dont have enough info to help. Srry :(

Step-by-step explanation:

Answer:

$13.8

Step-by-step explanation:

20(0.45)+15(0.32)

= 13.8

Answer:

Perimeter = 10

Step-by-step explanation:

Horizontally 3 units; vertically 2 units.

If h is horizontal measure, and v is vertical measure, then perimeter is 2(h+v) and area is hv.

[4] The Perimeter of the rectangle is how many units?

Perimeter formula ; 2(h+v)

2(3+2) = 10

~Learn with Lenvy~

Answer: 25 feet

Step-by-step explanation:

If you place a 37 foot ladder against the top of a 12 food building, since 37 is greater than 12 the ladder will keep going past the building.

37-12=25

the ladder will be 25 feet from the bottom of the building

hope this helped :)

Answer:

The 25th term is 97

Step-by-step explanation:

The explicit rule is f(n)=4n-3

Let f(n) = 97

97 = 4n-3

Add 3 to each side

97+3 = 4n-3+3

100 = 4n

Divide by 4

100/4 = 4n/4

25 = n

Answer:

[tex]\dfrac{\pi }{2}[/tex]

Step-by-step explanation:

The period of the function is from one peak to the next (or from one trough to the next).

[tex]\sf \implies period=\dfrac{\pi }{2}[/tex]

**see attached for the measurement of the period for this function**

Answer: John ran 10 miles through Monday and Wednesday.

Step-by-step explanation: He ran for miles on 4 but 4 more than Monday and he ran 3 miles on Monday, so you add 4 + 3 which = 7 then you add 3 to 7 because he ran 3 miles on Monday then you get 10.

Answer:

980km

Step-by-step explanation:

Multiply 14 by 70

Answer:

16................

Step-by-step explanation:

Above

Answer:

The answer is 16.

Step-by-step explanation:

Negatives can be tricky, but once you get the hang of it, it will be much easier! The rule to remember here is:

"Anything 'minus a negative' just means plus, because the negatives cancel each other out."

a. For example, 4 -(-1) is the same thing as 4+1, which equals 5.

b. In this problem, 12-(-4) is the same thing as 12+4, which equals 16.

I hope this helps! Feel free to give me Brainliest if you feel this helped. :)

Answer:

15•4 mm

Step-by-step explanation:

using sine rule

a÷ sinA=c ÷sinC

15•4÷sin90=0•5÷sinC

sinC =0•5 × sin90 ÷ 15•4

C =1•9°

A+B+C= 180

90+B+1•9=180

B= 88•2°

b÷sinB = a÷sinA

b÷sin88•2= 15•4÷sin90

b=sin88•2 ×15•4 ÷sin90

b =15•39

to 1 dp

b =15•4 mm

Step-by-step explanation:

here is the answer Step-by-step for you

I hope you understand...

Answer:

I need an image to help you.

Step-by-step explanation:

Answer:

Integer, rational number, and real number

Step-by-step explanation:

Integer is a number that can be either positive or negative, but can't be a fraction or irrational number such as pi. It's also a subset of rational numbers, which is a subset of real numbers.

Answer:

A

Step-by-step explanation:

The slope is 2/5. Plug in the points and slope into the slope- intercept form y-y1=m(x-x1).

It would be...

y-4=2/5(x+2)

Answer:

y= [tex]\frac{72}{5}[/tex] or 14.4

Step-by-step explanation:

[tex]\frac{5}{6}y = 12\\[/tex]

Multiply both sides by 6/5, the reciprocal of 5/6.

[tex]y = 12 * (\frac{6}{5} )[/tex]

Express 12 x (6/5) as a single fraction.

[tex]y = \frac{12 * 6}{5}[/tex]

Multiply 12 and 6 to get 72.

[tex]y = \frac{72}{5}[/tex]

Answer:

2x-58<112

Step-by-step explanation: