Expand and simplify:

[tex]( \sqrt{3} + 1)( \sqrt{3} - 3)[/tex]
​

Step-by-step explanation:

the answer is b 5 according to the graph

Answer:

y = - 3x² + 6x + 9

Step-by-step explanation:

given the zeros of a parabola x = a , x = b , then the factors are

(x - a) , (x - b)

here the zeros are x = - 1 and x = 3 , then

factors are (x + 1) and (x - 3)

the equation of the parabola is then the product of the factors, that is

y = a(x + 1)(x - 3) ← a is a multiplier

to find a substitute the point (0, 9 ) into the equation

9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

- 3 = a

then equation is

y = - 3(x + 1)(x - 3) ← expand factors using FOIL

  = - 3(x² - 2x - 3) ← distribute parenthesis by - 3

y = - 3x² + 6x + 9

Answer:

the answer would b B solid

Step-by-step explanation:

because the figure appears to have depth as you look at it so it is solid.

Answer:

1/18

Step-by-step explanation:

I have provided a tree diagram showing all the possibilities

Answer:

[tex]P=\frac{2}{9}=0.222\\[/tex] for green ball

[tex]P=\frac{2}{8} =0.25[/tex] for red ball

Step-by-step explanation:

For green ball probability will be,

[tex]P=\frac{2}{9}=0.222\\[/tex]

while for the red ball, it will be,

[tex]P=\frac{2}{8} =0.25[/tex]

Answer:

Step-by-step explanation:

SA/Surface area of  cylinder=2πrh+2πr^2

SA=2xπx16x27 + 2xπx16^2

SA=864π + 512π

SA=1376π

      OR

SA=4322.83 to 2.d.p

The graph of the system of inequalities can be seen at the end of the answer.

Here we have two inequalities:

x < 2

y ≥ - 3

To graph the first one, we need to shade all the region at the left of the line x = 2, such that the line must be dashed, because the points on the line are not solutions.

For the second inequality, we need to shade all the regions above the line y = -3, this time the line must be solid, because the points on the line are solutions.

Then the graph of the inequalities is the one you can see below. The intersection of the shaded regions is the solution of the system of inequalities.

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For the given number is 4√18 .The Prime factorization would be 4√18  = 2 x 2 x √2 x √3 x √3.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is the decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number.

Those composing integers are called factors of that considered integers.

Prime factorization is when all those factors are prime numbers.

Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

For the given number is 4√18

Prime factorization

4√18  = 2 x 2 x √2 x √3 x √3

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Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

The information about the how to open a comic book store should be included in the b. organizational plan.

An organizational plan serves as a way that can be used to plan for the future events to achieve the desire goals of the institution.

Therefore, option B is correct, because with the organizational plan, Korey can note all information required for the business and how the business will grow.

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Answer:

1, because 5 and 14 are divisible by no other number except themselves in this instance only, and for this case, that only number is 1.

Your answer is 1.

Hope this helps

Answer:

the scale factor and the ratio of their perimeters is 8/9

Step-by-step explanation:

k^2=area 1/area 2

k^2=64/81

=square root if k^2=square root of 64/81

=k=8/9

Answer:

[tex]25 \: or \: {5}^{2} [/tex]

Step-by-step explanation:

Simplify It

[tex]20 + 2 + 3[/tex]

Then calculate it.

[tex]20 + 2 + 3 = 25[/tex]

Answer:

25

Step-by-step explanation:

Given:

20+(5 × 2/5 )+ 3

Solve:

Using the PEMDAS

Which is:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

Thus we have:

20+(5 × 2/5 )+ 3                               {5 × 2/5 = 2}

= 20 + 2 + 3

= 22 + 3

= 25

Kavinsky

when we add negative number to the positive number we just subtract the smaller number from the larger number and put the sign or the larger number after words

examples:- First

[tex]5 + ( - 2) = 5 - 2 = 3[/tex]

like here we put + in front of 3 as larger number 5 is positive

[tex] - 7 + 5 = - 2[/tex]

we put negative because 7 is larger then 5 and 7 is negative

Answer

32

Step-by-step explanation:

This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.

 is the formula for an arithmetic sequence.

= nth term

a = the first term in the sequence

n = term you are looking for (in this case 45)

d = common difference between the terms (in this case -4)

hmmm well, don't be so  hmmm off due to it, the wording in the exercise sux0rs bad, is very poorly worded and laid out.

if X and Y are numbers, hmmm say let's give them hmmm ohhh X = 7 and Y = 13.

And X and Y are also complete cubes, well, let's make them so, X = 7³ and Y = 13³.

which of those expressions are complete cubes, or namely, something that we can write as a number with a "3" in the exponent, let's check each one.

[tex]\begin{array}{ll|l|l|lllll} 8X&\implies 8\cdot 7^3& 2^3\cdot 7^3& (2\cdot 7)^3& 14^3 ~~ \checkmark\\&&&&\\ X,Y&\implies 7^3,13^3 ~~ \checkmark&&\\&&&&\\ -X&\implies -7^3~~ \checkmark&&\\&&&&\\ 27XY&\implies 27\cdot 7^3\cdot 13^3& 3^3\cdot 7^3\cdot 13^3& (3\cdot 7\cdot 13)^3& 273^3~~ \checkmark\\&&&&\\ XY+27&\implies 7^3\cdot 13^3+27&(7\cdot 13)^3 + 3^3&&91^3+3^3 ~~ \bigotimes \end{array}[/tex]

what's wrong with the last one?  well, if we were to add 91³ + 3³ = 753598.  Now, is 753598 a complete cube? well, only if we could write it as a whole number with a "3" above, can we? nope.

we can simply check that by getting the 3rd root of that value,

[tex]\sqrt[3]{753598}\approx 91.00108681228277\impliedby \textit{not a complete cube}[/tex]

The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.

Box Diagram provides a quick visual summary of the variability of values ​​in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.

In this case, the  total spread of Ani is from 4.5 to 9.5 and the  total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.

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The apparent solution set of the system of equations graphed on the grid is {(-1,-4), (2,2)}

The point of intersection of the curves or lines on a graph is the solution of the system of equations

From the complete question, the lines intersect at approximately

(-1,-4) and (2,2)

Hence, the apparent solution set on the grid is {(-1,-4), (2,2)}

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Answer:

D.

{(-1,-4), (2,2)}

Step-by-step explanation:

This should be the answer for Plato/Edmentum users. (Note: not all answers are in the same position. It might be d for me but the answer might be put under any other letter)

Area of square = [tex]s^2[/tex] where, [tex]s[/tex] is the side length of the square.

[tex]81=s^2[/tex]

[tex]9=s[/tex]

s must be positive since it is a side length, so the negative root of 81 is rejected.

Perimeter= [tex]4s[/tex]

Perimeter= [tex]4(9)=36inches[/tex]

Step-by-step explanation:

In order to find the perimeter we need to find the length first ...

...Here, the area is already given ...

Area = 81 inches square

length = ?

Now....

( The formula of area is l × l )

[tex]area = {l}^{2} [/tex]

[tex]81 = {l}^{2} [/tex]

Now we should find square root of 81...

[tex]l = \sqrt{81} [/tex]

[tex]l \: = 9[/tex]

Now we find length so it's easy for us to find perimeter...

The formula of perimeter of square is 4l ..

= 4l

= 4 × 9

= 36 inches

hence the answer is 36 inches....

Answer:

the perimeter is the width added to the length

why this thing says im rude

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

Step-by-step explanation:

i hope these help

Answer:

Step-by-step explanation:

9x-2=4x+9

1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.

2. 5x-2+2=9+2

3. 5x=11

4. 5x/5=11/5 get x by itself.

5. x=2.2

check work.

9(2.2)-2=4(2.2)+9

17.8=17.8

Answer:

the answer is 15-8

I hope this helps you

Answer:

-15+8

Step-by-step explanation:

Answer:

  D.  96 m²

Step-by-step explanation:

The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.

__

The dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.

The two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.

The total surface area is ...

  lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²

  surface area = 96 m²

_____

Additional comment

The formula for the area of a triangle is ...

  A = 1/2bh

A triangular prism has two congruent triangular faces, so their total area is ...

  A = 2(1/2bh) = bh

We elected to skip the halving and doubling, and go straight to the total base area.

Answer:

x=1

Step-by-step explanation:Let's solve your equation step-by-step.8x−6=10x−8Step 1: Subtract 10x from both sides.8x−6−10x=10x−8−10x−2x−6=−8Step 2: Add 6 to both sides.−2x−6+6=−8+6−2x=−2Step 3: Divide both sides by -2.−2x−2=−2−2 x=1

The trigonometric ratios of the right triangle with the given value tan A = 9 / 40 are

sin A = 9 / 41

cos A = 40 / 41

Trigonometric ratios are used to solve for the sides and angles of a right angle triangle.

Therefore,

sin A = opposite / hypotenuse

cos A = adjacent / hypotenuse

tan A = opposite / adjacent

Using Pythagoras theorem, let find the hypotenuse side

c² = 40² + 9²

c = √1681

c = 41

Therefore,

sin A = 9 / 41

cos A = 40 / 41

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