find the distance between the two points in simplest radical form.

Step-by-step explanation:

There are 3 terms. A term is either a single number or variable or numbers and variables multiplies together

Answer:

Step-by-step explanation:

there are 3 terms

Answer:

between 8.36 and 8.37

Step-by-step explanation:

[tex]\sqrt{70} =8.3666[/tex]

Hope this helps

The number multiplied by 7/9 to get a product of one will be 9/7.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Suppose the number when multiplied by 7/9 as a product of one be x,

When the product of two numbers is 1, they are termed multiplicative inverses. To make the expressions simpler, use the multiplicative inverse. When we solve division problems, the multiplicative inverse is one application. When dividing two numbers, the dividend is multiplied by the reciprocal of the divisor.

x × 7/9 = 1

x=9/7

Thus, the number multiplied by 7/9 to get a product of one will be 9/7.

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x+5=0 is ans

Step-by-step explanation:

x=-5

therefore,x+5=0

Answer:

18.

Step-by-step explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.

The simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

Given the expression in question;

( (-2 + h)³ + 8 ) / h

First, we simplify the numerator.

Lets rewrite 8 as 2³

(-2 + h)³ + 2³

Now, we can use the sum of cubes formula to factorize since both terms are perfect cubes.

a³ + b³ = ( a + b )( a² - ab + b² )

(-2 + h)³ + 2³ = ( -2 + h + 2 )( (-2 + h)² - (-2 + h)2 + 2² )

(-2 + h)³ + 2³ = h( (-2 + h)² + 4 - 2h + 4 )

(-2 + h)³ + 2³ = h( (-2 + h)²- 2h + 8 )

(-2 + h)³ + 2³ = h( (h² - 4h + 4 )- 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 4h + 4 - 2h + 8 )

(-2 + h)³ + 2³ = h( h² - 6h + 12 )

Now bring back the denominator.

( h( h² - 6h + 12 ) ) / h

Cancel the common factors h

h² - 6h + 12

Therefore, the simplified form of the expression (( (-2 + h)³ + 8 ) / h) is h² - 6h + 12

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Answer:

4x-3y=21.

Step-by-step explanation:

1) the common view of slope-interception form is y=slope*x+interception;

2) if according to the condition the slope=4/3, then the required equation is

[tex]y=\frac{4}{3}x +interception;[/tex]

3) in order to calculate the interception it is enough to substitute the given coordinates into this equation:

[tex]1=6*\frac{4}{3} +interception; \ = > \ interception=-7;[/tex]

4) the slope interception form of the required equation is:

[tex]y=\frac{4}{3}x-7;[/tex]

5) if to re-write the equation in slope-interception form into the required, then (A=4; B=-3; C=21):

4x-3y=21.

It is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

We are given a relation:

{(9 / 2, 1 / 4),(4 1 / 2, -4),(0, 5 / 6)}

We can also write it as:

{(9 / 2, 1 / 4),(9 / 2, -4),(0, 5 / 6)}

The domain of the relation will be:

Domain = { 9 / 2 , 0}

The range of the relation will be:

Range = {1 / 4, -4, 6}

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, this relation is not a function because:

The input 9 / 2 has 2 outputs as 1 / 4 and -4 which is not possible in a function.

Therefore, we get that it is not a function with domain as { 9 / 2 , 0} and range as {1 / 4, -4, 6}.

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The elements of the given set A' ∩(B ∪ C') = {1, 3, 7. 9}

From the question, we are find the given set

The given set is

A' ∩(B ∪ C')

From the given information,

U = {1, 2, 3, ... , 9}

A = {4, 5, 6, 8}

B = {1, 3, 4}

C = {1, 2, 3, 4, 5}

First, we will determine A' and C'

A' = {1, 2, 3, 7, 9}

C' = {6, 7, 8, 9}

Now, we will find

B ∪ C' = {1, 3, 4, 6, 7, 8, 9}

Then,

A' ∩(B ∪ C') = {1, 3, 7, 9}

Hence, the elements of the set A' ∩(B ∪ C') = {1, 3, 7. 9}

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Answer:

$42.00

Step-by-step explanation:

Let x  = the original cost of the sweatshirt

x - .15x = 35.70  We don't know the original cost so we will call it x.  I know that we are taking 15 off of this number to get the sale's price.  15% means per 100, so as a fraction this would be 15/100.  To make this a decimal, I would divide 15 by 100 to get .15

x - .15x = 35.70  Combine the like terms

.85x = 35.70  This is say that 85% if the original price is the sale price of 35.70

Divide both sides of the equation by .85 and we get x = 42.00

Check:

42 - .15(42) = 35.70

42 - 6.30 = 35.70

Answer:

The answer is -4.

Step-by-step explanation:

Since its f/g, we know that f(n)= 2n^2+2n and g(n)=n+1.

N= -2. You will plug in all the values of n = - 2.

So...

2n^1+2n/n+1

2(-2)^2+2(-2)/-2-1 which will give you -4.

Answer:

Step-by-step explanation:

What is answer to X/2 - X/5 = 3

x/2 - x/5 = 3

(3/10)x = 3

x = 3 : 3/10

x = 3 * 10/3

x = 10

-------------

check

10/2 - 10/5 = 3

3 = 3

the answer is good

Answer:

34 I plus the word like in number it self

Answer:

1,077.281879 mg is the answer

Answer:

Brainliest pls

Step-by-step explanation:

42sq yds

Answer:

  (c)  $95,400

Step-by-step explanation:

You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.

The buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.

  (1 -3%)P = 92,500

Dividing by the coefficient of P, we get ...

  P = 92,500/0.97 ≈ 95,361

We are asked to round this value to the nearest $100. That makes the listing price ...

  $95,400 . . . . listing price

__

Additional comment

You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...

  92500 +2700 = 95,200

Only one of the answer choices is above that value and rounded to the nearest $100. (You can eliminate the first two choices, because they are not properly rounded.)

1) The area of the room in square feet, square inches, and square yards is as follows:

Area = 120 ft²

Area = 1,440 in²

Area = 40 yards²

2) The volume of the room in cubic feet, cubic inches, and cubic yards is as follows:

Volume = 1,440 ft³

Voluem = 17,280 in²

Volume = 480 yards²

The conversion rates are:

The mathematical operations of multiplication and division are used.

Let the length = 12 feet

Let the width = 10 feet

Let the height = 12 feet

1 foot = 12 inches

3 feet = 1 yard

Area = 120 ft² (12 x 10)

Area = 1,440 in²  (120 x 12)

Area = 40 yards² (120/3)

Volume = 1,440 ft³ (12 x 10 x 12)

Voluem = 17,280 in²  (1,440 x 12)

Volume = 480 yards² (1,440/3)

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Explanation:

Point L is at the location (-4, 2)

Translate 3 units to the left to arrive at (-7,2)

Then translate 4 units up to get (-7,6) which leads to choice A

---------------

The rule of "translate 3 units left, 4 units up" can be condensed into the notation of [tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)[/tex]

Let's apply this rule to point M(1,2)

[tex](\text{x},\text{y})\to(\text{x}-3,\text{y}+4)\\\\(1,2)\to(1-3,2+4)\\\\(1,2)\to(-2,6)\\\\[/tex]

This further confirms what choice A is saying since it mentions M'(-2,6)

I'll let you check the other points in choice A.

Answer:

Step-by-step explanation:

-38 3/4

Answer:

27% or 0.27

Step-by-step explanation:

Since this is a probability question, you have to add the marbles together and divide by the probability that it's asking for. So...

# of R marbles = 3

# of G marbles = 5

# of B marbles = 2

# of W marbles = 1.

So add it together and you will get 11.

Now, divide the number of marbles/total number of R marbles.

3/11

Which gives you 0.27272727

So your answer is 27% or 0.27

Step-by-step explanation:

23.3 million = 58%

1% = 58%/58 = 23.3 mil. / 58

100% = 1%×100 = 100×23.3 mil./58 =

= 2,330,000,000/58 = 40,172,413.79... ≈

≈ $40 millions

Answer:

athour of text 2 for the first Q

athour of text 1 for the second Q

athour of text 2 for the third Q

Answer:

-36

Step-by-step explanation:

-18    - 18    = -36

Answer:

Hey there i see that you are doing scientific notation things well i will help you

Step-by-step explanation:

so 5.2 X 10 to the 5th power = 520000

3.9 X 10 to the 8th power = 390000000

and 4.7 X 10 to the 5th power  = 470000

so on that info the answer is

4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)

hope you have a nice day

Answer and work is all shown in the provided screenshot! I hope this helps! :)

The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

The expression is given as:

3^2018 + 3^2015 / 3^2017 + 3^2016

Factor out 3^2015 in the expression

So, we have

3^2015(3^3 + 1)/3^2015(3^2 + 3)

Cancel out the common factor

(3^3 + 1)/(3^2 + 3)

Evaluate the exponents

(27 + 1)/(9 + 3)

This gives

28/12

Simplify

7/3

Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

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Work Shown:

i = 28

r = 8% = 0.08

t = 3 months = (3/12) year = 0.25 year

-----------

i = P*r*t

28 = P*0.08*0.25

28 = P*0.02

P = 28/0.02

P = 1400

Side notes:

Answer: 7

Step-by-step explanation: A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine whether or not the diagonals

Answer:

7

Step-by-step explanation:

:D

Answer:

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

Additional comment

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

Alternate solution

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

Answer:

  288 miles

Step-by-step explanation:

Kevin's trip took 9 hours one way, and 4 hours the other way, driving 40 mph faster. You want to know the one-way length of Kevin's trip to the mountains.

The relation between time, speed, and distance is ...

  speed = distance/time

Using d to represent the one-way distance Kevin drove, we can relate his speeds with ...

  d/4 = 40 +d/9 . . . . . . speed coming home was 40 mph more than going

Multiplying by 36 to clear fractions, we have ...

  9d = 1440 +4d

  5d = 1440 . . . . . . . subtract 4d

  d = 288 . . . . . . . divide by 5

Kevin lived 288 miles from the mountains.