Quadrilateral ABCD is rotated 270° clockwise about the origin. What is the orientation of the rotated figure, and what quadrant does it lie in?

Answer:

The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]

with no square roots in the denominator

Step-by-step explanation:

We are considering the expression  [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex]  which I believe is what you wanted to type in your question.

The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).

We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:

[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]

where we find all square roots eliminated from the denominator

Answer:

see below

Step-by-step explanation:

5(x + y) + 6(x − y)

Distribute

5x+ 5y + 6x -6y

Combine like terms

11x -y

(5x − 3y) − x + 3x − 5y

Combine like terms

5x -x +3x   -3y -5y

7x -8y

4(x + y) − 3(x + y)

Distribute

4x +4y -3x -3y

Combine like terms

x -y

x − 4x + 6y + (14x − 5y)

Combine like terms

x -4x +14x    +6y -5y

11x    +y

3x + 3y + 2(2x − y)

Distribute

3x+3y +4x -2y

Combine like terms

7x +y

Answer:

5(x + y) + 6(x − y)   =   11x − y

(5x − 3y) − x + 3x − 5y  =  7x − 8y

x − 4x + 6y + (14x − 5y)  =  11x + y

3x + 3y + 2(2x − y)  =  7x + y

and there is no match for 4(x + y) − 3(x + y)

Step-by-step explanation:

hope this helps :)

Answer: gradpoint “b”

Step-by-step explanation:

Answer:

it is true because when we open the brackets due to negative sign x shiht upwards and y shift downwards with power m

Answer:

C) 108°

Step-by-step explanation:

72°+k°=180° (straight line)

Subtract 72° from both sides

k°=108°

Our answer is C)108°.

Value of k = 108°

The correct option is C.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In a triangle,

Interior angles are

A = 72°,

B = 83° and

C = 25°

exterior angle A = k°

Exterior angle A = Interior angle B + Interior angle C

k = 83° + 25°

k = 108°

Hence, 108° is the value of k.

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Answer:

D. -2/3

Step-by-step explanation:

A rational number can be shown with a fraction and that's the only fraction in the answer choices

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

Answer:

-1/5x -4/5 = y

Step-by-step explanation:

f(x) = -5x -4

y = -5x-4

Switch x and y

x = -5y -4

Solve for y

Add 4

x+4 = -5y

Divide by -5

-1/5x - 4/5 = -5y/-5

-1/5x -4/5 = y

Answer:

f(x) = -5x - 4

let f(x)= y

y = -5x -4

x = -5y - 4

-5y = x+4

y = - (x +4)/5

The inverse of f(x) is -(x +4)/5

Hope this helps.

Answer:

Step-by-step explanation:

Sea Level

Answer:

1. The equation has no real solutions

2. [tex]x_1 = -1 [/tex] and [tex]x_2 = -3 [/tex]

3. p = 0 and p = -2

Step-by-step explanation:

1. Eq: x² - 3x + 5

discriminant: b² - 4(a)(c) = (-3)² - 4(1)(5) = 9 - 20 = -19 < 0

Therefore, the equation has no real solutions

2. Eq: x² + 3 = -4x

0 = x² + 4x + 3

[tex]x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(1)(3)}}{2(1)} [/tex]

[tex]x = \frac{-4 \pm 2}{2} [/tex]

[tex]x_1 = \frac{-4 + 2}{2} [/tex]

[tex]x_1 = -1 [/tex]

[tex]x_2 = \frac{-4 - 2}{2} [/tex]

[tex]x_2 = -3 [/tex]

3. Eq: 4p(5p+ 10) = 0

Zero-Product Property states that:

4p = 0 or 5p + 10 = 0

The first solution is p = 0. The second is:

5p + 10 = 0

5p = -10

p= -10/5 = -2

Answer:

150 hours

Step-by-step explanation:

Bill receives $800 as monthly stipend. But after this statement, it says Bill also works at a bookstore. So, it should mean that Bill does not receive $800 from the bookstore. He receives $800 from another job because of the word "also" which is mentioned in the second statement.

If the question is, to find out the number of hours Bill has to work each month if he assumes his monthly income to be $1,200 then 1200/8 = 150

But if the question is trying to mean that Bill receives $800 as a monthly stipend from the bookstore then this answer is wrong.

Then, we would have to calculate the difference.

$1200 - $800 = $420

Time = $420/8 = 50 hours.

Everything depends on the question. The question however needs some explanation, because this question is not written in a clear way.

Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

Answer: C) 4955.30

Step-by-step explanation:

Where: A = P(1 + r/n)nt

A= 4000 (1+0.055/1)1*4

A= 4000 x (1.055)^4

A= 4955.30

Answer:

19 lights

Step-by-step explanation:

I think so .

Thank you

Answer:

114 Lights

Step-by-step explanation:

Answer:

-36

Step-by-step explanation:

You have to rearrange the quadratic into an equation where one side is zero.

This example works by subtracting 7x^2 from both sides leaving

-5 = 9x^2 - 7x^2 + 2x

-5 = 2x^2 + 2x

Now add 5 to both sides

-5 + 5 = 2x^2 + 2x + 5

0 = 2x^2 + 2x + 5

Now the equation you gave is in the form of a quadratic. The discriminate is found from

a = 2

b = 2

c = 5

b^2 - 4ac is the discriminate

2^2 - 4(2)(5)

4 - 40

Discrimate = 4 - 40 = - 36

Answer:

71% = P

Step-by-step explanation:

500/700 = P/100

500(100) =700p

50,000/700 = 700p/700

P=71%

The percent increase in enrollment is, 71.43%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.

Now,

Increased students = 1200 - 700

                              = 500

Hence, The increased percent is,

⇒ 500 / 700 × 100

⇒ 71.43%

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Answer:

4+2.4=6.4+1.44=7.84

The infinite geometric sum of 4+2.4+1.44+... will be 10.

At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.

It is given that, the sequence is 4+2.4+1.44+...

The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is obtained that the common ratio is,

r=2.4/4

r=0.6

The Sum of an infinite geometric sequence is,

S = a / (1-r)

S=4 / (1-0.6)

S=10

Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.

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Answer:

4/5

Step-by-step explanation:

y=mx+b where m is slope

Answer: 4/5

Step-by-step explanation:

Slope is denoted by m, hence the equation y = mx + b. In this equation, 4/5 is the slope

Answer:

pillow cost 3, quilt costs 5

Step-by-step explanation:

let p represent pillow and q represent quilt

rest is in pic attached

Answer:

oof i have no clue

Step-by-step explanation:

sorry never learned this type of graphs good luck tho

Answer:

9x over x+9

Step-by-step explanation:

Answer:

8: +4

9: *3 + 5

10: *(-9)+1

11: *(-8)

Answer:

8. Y=x+4, 11. y= X (x) -8

Step-by-step explanation:

Unsure about 9 and 10

Answer:

the answer is B.

4x^3+x^2-5x-5

Step-by-step explanation:

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Answer:

6 x 4 = 24

Step-by-step explanation:

JC = 4

BD = 6

Answer:

Step-by-step explanation:

9.72*400

= 3888 miles

Inform me if I am right

The right answer is 10√5..

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

2nd one

Step-by-step explanation:

If you look at all the factors the highest pair with a square root is 5•100

The square root of 100 is 10

And then the square root of 5 is left