The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?

Answers

Answer 1

Answer:

I got- 18.2

Step-by-step explanation:

I have this on a exam im working on right now.

Answer 2

The perimeter of the hexagon is 12 + 2√5 + √2

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) an (c, d) are the two points.

We have,

Hexagon PQRSTU.

Vertices.

P = (–1, 0)
Q = (–1, 3)

R = (1, 4)

S = (2, 5)

T = (4, 4)

U = (4, 0)

Now,

We can make 6 lines.

PQ, QR, RS, ST, TU, and PU

We find the distance between each line.

PQ = [tex]\sqrt{(-1 + 1)^2 + (3 - 0)^2}[/tex] = 3

QR = [tex]\sqrt{(1 + 1)^2 + (4 - 3)^2}[/tex] = √5

RS = [tex]\sqrt{(2 - 1)^2 + (5 - 4)^2}[/tex] = √2

ST = [tex]\sqrt{(4 - 2)^2 + (4 - 5)^2}[/tex] = √5

TU = [tex]\sqrt{(4 - 4)^2 + (0 - 4)^2}[/tex] = 4

PU = [tex]\sqrt{(4 + 1)^2 + (0 - 0)^2}[/tex] = 5

Now,

The perimeter of the hexagon.

= 3 + √5 + √2 + √5 + 4 + 5

= 12 + 2√5 + √2

Thus,

The perimeter of the hexagon is 12 + 2√5 + √2

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Related Questions

Yaritza and eddy race to school on their bikes. Yaritza bikes 2 miles in 12 minutes, eddy bikes 3 miles in 15 minutes. Who is going faster?

Answers

I’m pretty sure it’s eddy because 12 divided by 2 = 6 and 15 divided by 3 is 5. And 5 minutes (eddy’s time to do one mile) is less than 6 minutes (Yaritza’s time to do one mile)

2 · y - 8 ÷ 4 when y = 7

Answers

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plugin y = 7 in the expression

y - 8 ÷ 4 = 7 - 8÷ 4      { here division has to be done first as per PEDMAS}

              = 7 - 2

              = 5

Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-21 – 3. As x approaches negative infinity, f(x) approaches As x approaches positive infinity, 4(x) approaches v infinity. v infinity.

(the choices for each box is negative or positive)​

Answers

Answer:

negative

positive

Step-by-step explanation:

Answer: positive

positive

Step-by-step explanation:

Work out m and c for the line: y=3x

Answers

Answer:

m = 3, c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x , or y = 3x + 0 ← is in slope- intercept form

with m = 3 and c = 0

Examine the equation.

–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has

Answers

Answer:

infinite solutions

Step-by-step explanation:

Answer:

infinite many solutions.

Step-by-step explanation:

I got it correct in edge

find the 13th term of the geometric sequence 5,10,20,...​

Answers

Answer:

5x13=?

Step-by-step explanation:

Answer:

20480

Step-by-step explanation:

Fully simplify 16x^4(2x^2y)

Answers

STEP 1:
Equation at the end of step 1

(16 • (x^4)) • (2x^2 • y)

STEP 2:

Equation at the end of step 2:

2^4x^4 • 2x^2y

STEP 3:

Multiplying exponential expressions :

3.1 x^4multiplied by x^2 = x(4 + 2) = x^6

Multiplying exponents:

3.2 2^4multiplied by 2^1 = 2^(4 + 1) = 2^5

Final result :
2^5x^6y

the expression (x^12)(x^25)^2 is equivalent to x^p . what is the value of p

Answers

Answer:

p = 6

Step-by-step explanation:

[tex](x^{2})(x^{2})^{2}[/tex]

[tex](x^{2}) ^{2}[/tex] is [tex]x^{2*2}[/tex]

The equation is now [tex](x^{2} )(x^{4})[/tex]

add the two exponents together 2 + 4

the final answer is [tex]x^{6}[/tex]

Pls help me find the area

Answers

I might be wrong but I think all you have to do is 6 x 6 and then multiply that answer by 3

Answer:

27

Step-by-step explanation:

6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27

PLEAS HELP
I WILL GIVE THE BRAINLIEST.


Each day, the tigers at Baudean's Gulf Coast Sanctuary are each fed 5 pounds
of food for every 100 pounds of body weight. Shiva, a female tiger at the
sanctuary, weighs 360 pounds. How much food should she be fed daily? (Hint:
set up a proportion).

Answers

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation:

x+2y=2
3x+4y=0
solve by graphing

Answers

Step-by-step explanation:

I think this is helpful so you wanted by graphing and this is what I saw I hope it is helpful and good luck

If you need quick answers next time use Desmos they have a graphing calculator and a scientific one they both help me

how do I type in math equations

Answers

You can take a picture of the equation you need help with and then post it as an image

if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all​

Answers

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

178*(6*60+40)
71200min
1186.66hrs

help please i dont get these and please show work if u can thxs

Answers

Answer:

Step-by-step explanation:

A = 180°-90°-50° = 40°

Use Law of Sines to find a:

a = b⋅sinA/sinB ≈ 20.1 units

Use Pythagorean Theorem to find c:

c = √(a² + b²) ≈ 31.3 units

:::::

sin(x) = 16/25

x = arcsin(16/25) ≈ 39.8°

Terrell has $2,700 in his checking account and $1500 in his savings account. He
uses his checking account to pay bills, which are $240 each month.
a) In how many months will his checking account balance equal his savings account
balance?
b) If Terrell deposited an additional $720 in his savings account, in how many
months will his balances be the same?

Answers

Answer:

1.8 month and they wouldnt

Step-by-step explanation:

brainalist

The number of months when both accounts have the same balance is 5 months. If $720 is deposited each month in the saving account, then the number of months when both accounts have the same balance is 1.25 months.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Terrell has $2,700 in his financial records and $1500 in his bank account. He utilizes his financial records to take care of bills, which are $240 every month.

Let 'x' be the number of months. Then the equation is given as,

1500 = 2700 - 240 x

240 x = 1200

x = 5 months

Assuming Terrell kept an extra $720 in his bank account. Then the equation is given as,

1500 + 720 x = 2700 - 240 x

960x = 1200

x = 1.25 months

The quantity of months when the two records have a similar equilibrium is 5 months. On the off chance that $720 is kept every month in the saving record, the number of months when the two records have a similar equilibrium is 1.25 months.

More about the solution of the equation link is given below.

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Find the length of side a.

Answers

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5

Check all the equations that apply to meet the Segment Addition Postulate in segment QA. QP=3x+7, PA=3x+2 and QA=32
Asse
MA
MARS
MAFS
3x-23=-3x

Answers

Answer:

J

Step-by-step explanation:

how many sec are in 1 year ?

Answers

Answer:

31536000 seconds

Step-by-step explanation:

The asnwer is 31536000 seconds.

A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00

Answers

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

Answer: 84

Step-by-step explanation: do 42 dived by 50% gets you 84

find the unknown angle mesure

Answers

Answer: 1=65° and 5=43

Step-by-step explanation:

Question 1:

Angles on a straight line always add up to 180°.

So to find the angle of x on the first question you have to do 180-115=65°

You would have to use this method for questions 2, 3 and 4 as well.

Question 5:

Right angles always add up to 90° so to work out what x is you would have to do 90-47=43

You would have to use this method for questions 6, 7 and 8.

Hope this helps :)

72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES?
correct=brainliest

Answers

Answer:

2 yards

Step-by-step explanation:

1 yard = 3 feet

Answer:

2 yards

Step-by-step explanation:

Can someone help me with this ASAP please I’m being timed !

Answers

Answer:

I hope you get the answer im tryna find mines

Step-by-step explanation:

Can someone plz help me

Answers

Answer:

Step-by-step explanation:

First, prove that triangle ABX is congruent to ACX.

By the reflexive property of Congruence AX=AX.

By SSS, triangle ABX is congruent to ACX.

By the CPCTC Theorem Angle BAX is equal to angle CAX.

By the definition of an angle, bisector AX bisects angle BAC

If this helped please consider giving brainliest.

can someone help me with this question thanks! : )

Answers

Answer:

C) [tex]x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]

Step-by-step explanation:

[tex]x^3+2x-1(x^4-x^3+3)\\x^7-x^6+3x^3+2x^5-2x^4+6x-x^4+x^3-3\\x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]

help !!!!
my math teacher wants me to answer this, and I have to give the answer in 10 minutes

Answers

45 degrees for x.
Do 180-160 = 20 (Since 180 is a straight line)
The 115, x, and 20 form another straight line, so take 180-20-115. You get 45.

How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 5% ​antifreeze?

Answers

Answer:

95% of a gallon of water, .95, or 19/20 as a fraction

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{300 \times 3} [/tex]

Answers

Answer:

√(300×3)=√900=√30²=±30 is your answer

Plz help I am bad at this

Answers

your answer is either A or D

if a parabola is horizontally translated 15 units left, stretch by a factor of 20, vertically translated down 30 units and reflected in the x axis determine the equation of the parabola in vertex form

Answers

your normal parabola is y=x^2 but with translations you get the form y=a(x-h)^2+k. it is horizontally shifted by 15 so h=15, the stretch factor is 20 so a=20, it is translated down by 30 so k=-30, and it is reflected in the x axis so a is negative. your answer is y=-20(x-15)^2-30. DONT OPEN ANY SKETCHY LINKS!!!

Answer:

y' = a(x'- ((h-15)/20))² + -(k-30)

Step-by-step explanation:

Vertex: (h,k)

horizontally translated 15 units left: (h-15 , k)

stretch by a factor of 20: ((h-15)/20 , k)

vertically translated down 30 units: ((h-15)/20 , k-30)

reflected in the x axis: ((h-15)/20 , -(k-30))

Vertex' (h' , k'): ((h-15)/20 , -(k-30))

Equation: y' = a(x'-h')² + k'

y' = a(x'- ((h-15)/20))² + -(k-30)

The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A = {Monday, Tuesday,Wednesday, Thursday, Friday} and B = {Friday, Saturday, Sunday}, find the indicated set.

A intersect B '

Answers

Answer:

{Monday, Tuesday, Wednesday, Thursday}

Step-by-step explanation:

First we need to get the complement of B i.e B'

B' are the set in the Universal set but that are not in B

B' = {Monday, Tuesday, Wednesday, Thursday}

A= {Monday, Tuesday, Wednesday, Thursday, Friday}

A intersect B ' are the days of the week that are common to both sets;

A intersect B ' = {Monday, Tuesday, Wednesday, Thursday}

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