Given that QRVTSU is a regular hexagon, what are the lengths of QR and ST ?

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]

Step-by-step explanation:

Given,

A ( -2 , 4 )⇒ ( x₁ , y₁ )

C ( 3 , - 3 )⇒ ( x₂ , y₂ )

Finding the midpoint between A and C

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]

[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]

Hope I helped!

Best regards! :D

Answer:

[tex]Width = x + 4[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Area = x^2 + 11x + 28[/tex]

[tex]Length = x + 7[/tex]

Required

Determine the width

For a rectangle:

[tex]Area = Length * Width[/tex]

Substitute values for Length and Area

[tex]x^2 + 11x + 28 = (x + 7) * Width[/tex]

Factorize the expression on the left hand side

[tex]x^2 + 7x + 4x + 28 = (x + 7) * Width[/tex]

[tex]x(x + 7) + 4(x + 7) = (x + 7) * Width[/tex]

[tex](x + 7)(x + 4) = (x + 7) * Width[/tex]

Divide both sides by x + 7

[tex]Width = x + 4[/tex]

Answer:

p = -7/3 and q = -6

Step-by-step explanation:

3p-2q=5

Substitute q-1 for 3p

q-1-2q=5

-q-1=5

q=-5-1=-6

Substitute the value of q = -6 in q-1=3p

-6-1=3p

3p=-7

p = -7/3

Answer:

6x - 3 = 3(x + 2)

Step-by-step explanation:

Answer:

-x + 6y.

Step-by-step explanation:

-(x - 6y)

= -1*x -1*-6y

= -x + 6y

Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}

Step-by-step explanation:

We have that the set A is the set of all the integers equal to or smaller than 5.

To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:

A = {...

Which means that it continues in that direction.

Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.

A = {..., -1, 0, 1, 2, 3, 4, 5}

And that is the set A in written with the Roster Method

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

Answer: 40

Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.

Perimeter of a square garden is 40.

Here,

A square garden has an area of 100 square feet.

We have to find the perimeter of the square garden.

What is Perimeter of square?

Sum of all four sides of a square is known as Perimeter of a square.

Now,

Let side of a square garden is a.

Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]

[tex]a^{2} = 100[/tex]

[tex]a = 10[/tex]

Hence, Perimeter of a square garden = 10 + 10 + 10 + 10

                                                          = 40

So, Perimeter of a square garden is 40.

Learn more about the Perimeter of square visit:

https://brainly.in/question/24292482

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Answer:

6.72 Hours

Step-by-step explanation:

Since the new phone can last 60% Longer than 4.2 hours, we multiply 4.2 by .6 and then add it back to 4.2

4.2 X 60% = 2.52

2.52+4.2=6.72

Therefore, the new phone can last 6.72 hours

Answer:

X=21/4, or in simplest form 5.25

Step-by-step explanation:

The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.

====================================================

Explanation:

When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes

[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]

while the right hand side turns into

[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]

This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying  "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.

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

The equation is only sometimes true for the x values 0, 1 and -1

Let's try x = 0

[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]

we get a true statement confirming x = 0 as a solution

Trying x = 1 leads to

[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]

also true. A similar situation happens with x = -1 as well, just that we have negatives this time.

Answer:

u=-8

Step-by-step explanation:

-4u+3=4u-5

-4u-4u=-5-3

*Divide U by  four and we are left with U. Add -5+-3 = -8

u=-8

Answer:

2.09

Step-by-step explanation:

Because:

2.3=2.30

2.9=2.90

and 2.93 is just bigger

therefore your answer is 2.09

Answer:

2.09

Step-by-step explanation:

2.93 > 2.9 > 2.3 > 2.16 > 2.09

2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.

Step-by-step explanation:

6.)

|x - 6| = 5

x + 6 = 5

x = 5 - 6

x = - 1

7.)

|3x - 7| = 12

3x + 7 = 12

3x = 12 - 7

3x = 5

x = 5/3

8.)

|2x + 9| - 10 = 5

2x + 9 - 10 = 5

2x - 1 = 5

2x = 1 + 5

2x = 6

x = 6/2

x = 3

Answer:

x=28/9 t- 3/2

Step-by-step explanation:

Answer:

42.25 inches²

Step-by-step explanation:

Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².

Where, s = side length of square

Area of 1 tile = 6.5² = 42.25 square inches.

One tile covers 42.25 square inches.

Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3

Answer:

[tex]Distance = 1572\ feet[/tex]

Step-by-step explanation:

Given

Courthouse = 1068 feet

Gallery = 0.5 mile ----- Missing Part of Question

What the question implies is to

determine the distance between these two locations

This is done as follows:

[tex]Distance = |Courthouse - Gallery|[/tex]

Substitute values for Courthouse and Gallery

[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]

Convert 0.5 mile to feet (1 mile = 5280 feet)

[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]

[tex]Distance = |1068\ feet - 2640\ feet|[/tex]

[tex]Distance = |-1572\ feet|[/tex]

[tex]Distance = 1572\ feet[/tex]

Hence, the required distance is 1572 feet

Answer:

no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.

Answer: It all depends on your preference

Step-by-step explanation:

Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,-3) and (4,-7)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

7 more than the product of 8 times 9

product of 8 times 9 = 8 × 9 = 72

7 more than the product of 8 times 9 = 72 + 7 = 79

Hope this helps

plz mark as brainliest!!!!!!!!!!

Answer:

-1/2 = x

Step-by-step explanation:

2 (x - 4) = 6x - 6 (distribute)

2x - 8 = 6x - 6 ( subtract 2x from each side)

- 8 = 4x - 6 ( add 6 to both sides)

-2 = 4x ( divide each side by 4)

x = -2/4 which simplifies to -1/2

Answer:

x is -1/2   (negative one half)

Step-by-step explanation:

Apply distributive property on the left in order to get rid of the parenthesis, and then group all terms in x on the right, and all numerical terms on the left. Combine like terms, and finally solve for "x":

2 (x - 4) = 6 x - 6

2 x - 8 = 6 x - 6

6 - 8 = 6 x - 2 x

-2 = 4 x

x = -2/4

x = -1/2

Answer:

Option 1 F

Step-by-step explanation:

If all the terms in an equation have a common factor, then you can divide all the terms by that common factor and receive the same answer. In this question, all the terms are divisible by 3 (3, 12 and 6 can all divide by 3) so we can divide them all by 3 while keeping the equation equal, which gives us:

3y/3 = 12x/3 -6/3

y = 4x - 2

Hope this helped!

Answer:

what do you need help with i dont see the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

= 0.2496 /2000

= 0.0001248

Therefore the Variance of the population proportion is approximately = 0.00012

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

Which of the following employees has the greatest total employee compensation?

a. ))   Employee A: total job benefits $68,100 and total job expenses $100

b. ))   Employee B: total job benefits $68,400 and total job expenses $300  {{{   CORRECT  }}}

c. ))   Employee C: total job benefits $68,700 and total job expenses $800

d. ))   Employee D: total job benefits $69,000 and total job expenses $1,000

Step-by-step explanation:

Edge 2021

Answer:

p (13 - 4 p)

Step-by-step explanation:

Simplify the following:

2 p (p + 2) - 3 p (2 p - 3)

Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).

Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):

p (2 (p + 2) - 3 (2 p - 3))

Hint: | Distribute 2 over p + 2.

2 (p + 2) = 2 p + 4:

p (2 p + 4 - 3 (2 p - 3))

Hint: | Distribute -3 over 2 p - 3.

-3 (2 p - 3) = 9 - 6 p:

p (2 p + 9 - 6 p + 4)

Hint: | Group like terms in 2 p - 6 p + 4 + 9.

Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):

p (4 + 9) + (2 p - 6 p)

Hint: | Combine like terms in 2 p - 6 p.

2 p - 6 p = -4 p:

p (-4 p + (4 + 9))

Hint: | Evaluate 4 + 9.

4 + 9 = 13:

Answer: p (13 - 4 p)

Answer:

Wrong

Step-by-step explanation:

You must be more specfic about how many 1000's