2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

Answers

Answer 1

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units


Related Questions

Which statement is true regarding the graphed functions?


f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2)=g(0)

Answers

F(2) =0 and G(-2) = 0 hope this helped

The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone

Answers

Answer:

[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

-0.5x +12.5 = -X+18 can you please answer?

Answers

Answer:

x=110

Step-by-step explanation:

-.5x+12.5=-x+18

add x to -x to move it

then add 1x to -.5x to get .5

soo.....

.5x+25.5=18

the subtract 12.5 from both sides to get

.5x=5.5

then divide .5 from both sides to get

x=110

If the length of a rectangle is 3x+2 and the width is 2(x+4) what is the value of x
Explanation

Answers

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

3x+2=2(x+4)

3x+2=2x+8

3x=2x+6

X=6

Shelley and her friend are working together on a group homework assignment. Shelley has
completed 2/12 of the problems and her friend has completed another 9/12 of them.
Together, what fraction of the problems have they completed so far?

Answers

Answer: The answer is 11/12 problems

Step-by-step explanation:

You add 2/12 + 9/12 which gives you a result of 11/12

People living in a society where one person rules by force have which type of government?

Answers

Answer:

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

Factorise fully
14x – 8​

Answers

Answer:

2(7x-4)

Step-by-step explanation:

Answer:

2(7x-4)

Step-by-step explanation:

Factor out the gratest common divisor of the coefficients of 14x - 8

!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answers

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

10p+5=18p–6/2 what is the value of p?

Answers

Answer:

p = 1

Step-by-step explanation:

10p + 5 = 18p - 6/2

(given)

______________

10p + 5 = 18p - 6/2

+6/2 +6/2

(addition property of equality)

_______________________

10p + 8 = 18p

-10p -10p

(subtraction property of equality

_________________________

8 = 8p

÷8 ÷8

(division property of equality)

______________________

1 = p

(symmetric property of equality)

___

p = 1

A scuba diver swam 96 ft.
below the surface of the
lake. He then swims up 49
ft. What is his depth now?

Answers

Answer:

96-49=47

Step-by-step explanation:

he goes down then up so 47

Answer:

-47

Step-by-step explanation:

-96 + 49

-47

what is the slope of the linear function represented in the table?​

Answers

Answer:-7 I think

Step-by-step explanation:

What distance will a car traveling at a speed of 15 m/s cover in 300 s?

Answers

Distance formula: d = st

d = 15 * 300

d = 4,500m

So they will travel 4,500m! Have a nice day and mark brainliest if possible :)

[tex] \red { \green {\boxed {\boxed{Answer}}}}[/tex]

[tex]4500 \: m[/tex]

Step-by-step explanation:

[tex]d = s \times t[/tex]

[tex]s = 15[/tex]

[tex]t = 300[/tex]

[tex]d = 15 \times 300[/tex]

[tex]d = 4500[/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath


I need help with 15-19 plz

Answers

Here,

g (x) = -3x + 1

then ,

g(10) = -3 (10) + 1

= -30 +1

= - 29

Again,

g(-6) = -3 (-6) + 1

= 18 + 1

= 19

Complected *******

Thank me later.

Hellpp Hellpp helpppp where did they get 0.8 from ​

Answers

Answer:

All they are doing is finding what a 20% drop would be. You do that by multiplying the value by .8 which gives you the total accounting for a 20% drop.

Step-by-step explanation:

a chef has 5 5/8 pound beef filet. she slices the fillet into 8 ounce steaks A. how many pounds is each steak. write your answer as a fraction in simplest form. B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over​

Answers

Answer:

1/2 pound

90 ounces

11

Remaining 2 ounces

Step-by-step explanation:

Beef filet = 5 5/8 pounds

Slices of fillet = 8 ounces

A. how many pounds is each steak. write your answer as a fraction in simplest form.

1 pound = 16 ounces

Pounds of each steak = ounces per steak / ounces per pound

= 8 ounces / 16 ounces

= 1/2 pound

B. how many 8 ounce steaks can the chef create from the fillet? How many ounces of beef are left over

Beef filet = 5 5/8 pounds

= 45 / 8 pounds

Convert to ounces

= 90 ounces

Number of 8 ounces the chef can create = 90 ounces / 8 ounces

= 11.25

= 11

Remaining 2 ounces of beef

What is wrong with the picture? Show work.

Answers

Answer:

The mistake is in the angles

Either both should be 69° or 70°

Hope this helps you Stay happy and safe Do mark as brainliest ✌️

which equation represents a line which is parallel to the line x-3y=15?

Answers

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make [tex]x - 3y = 15[/tex] in to slope-intercept form it'll be like this:

[tex]x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5[/tex]

Now we know [tex]y = \frac{1}{3}x - 5\\[/tex] as its slope-intercept form we can see the slope is [tex]\frac{1} {3}\\[/tex].

[tex]y = \frac{1}{3}x + 4\\[/tex] has the same slope as [tex]y = \frac{1}{3}x - 5\\[/tex] so they are both parallel.

Answer:

[tex]y = \frac{1}{3}x + 4\\[/tex]

A sandwich and a cookie cost $5.50. The cookie costs $5 less than the sandwich. How much does the cookie cost?

Answers

Answer:

.25 cents

Step-by-step explanation:

Sandwich = x

cookie = x-5

x + (x-5) = 5.50

x + x -5 = 5.50

2x = 10.50

sandwich=$5.25

cookie = (5.25) - 5

cookie = $.25

PLS NEED HELP! need the answer WITH the work please!

Answers

that^^^^^^^^^^^^^^^^^^

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

-4+-6=-10

Step-by-step explanation:

Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?

Answers

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.

Answers

Answer:

Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph

Step-by-step explanation:

The rule of distance is d = v × t, where

v is the average speedt is the time

∵ You  wish to average 60 mph on a drive from your home to town

∵ The distance from  your home to town is 78 miles

→ Find the time of your journey using the rule above

∴ 78 = 60 × t

→ Divide both sides by 60

∴ [tex]\frac{78}{60}[/tex] = t

t = [tex]\frac{13}{10}[/tex] hours

∵ You have averaged only 45 mph in the first 39 miles (half way)

∴ v1 = 45 mph

∴ d1 = 39 miles

→ Find the time of this part

∴ 39 = 45 × t1

→ Divide both sides by 45

∴ [tex]\frac{39}{45}[/tex] = t1

t1 = [tex]\frac{13}{15}[/tex] hour

→ Subtract the time of the first part from the time of the journey to

  find the time for the second part

∵ t2 = t - t1

∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]

t2 = [tex]\frac{13}{30}[/tex] hour

→ Now let us find the average speed of the second part of his journey

∵ d2 = 39 miles ⇒ (78 - 39)

∵ t2 = [tex]\frac{13}{30}[/tex] hour

∴ 39 = v2 × [tex]\frac{13}{30}[/tex]

→ Divide both sides by [tex]\frac{13}{30}[/tex]

∴ 39 ÷ [tex]\frac{13}{30}[/tex]  = v2

∴ 90 = v2

v2 = 90 mph

Your average speed must be 90 mph in the remaining distance in

   order to have overall average speed of 60 mph

Tara's website, verdantveggies.com, specializes in the sale of rare or unusual vegetable seeds. Tara sells packets of sweet-pepper seeds for $2.85 each and packets of hot-pepper seeds for $4.29 each. She also offers a 16-packet mixed-pepper assortment combining packets of both types of seeds at $3.30 per packet. How many packets of each type of seed are in the assortment?​

Answers

Answer:

Let's define the variables:

S = # of sweet pepper seeds in the mix pack.

H = # of hot pepper seeds in the mix pack.

Let's suppose that $3.30 is the mean price of the seeds in the mix pack.

Then we have two equations:

S + H = 16.

(S*$2.85 + H*$4.29)/16 = $3.30

Now let's solve this system.

The first step is isolating one variable in one of the equations, i will isolate S in the first equation.

S = 16 - H.

Now we can replace this in the second equation, and solve it for H.

( (16 - H)*$2.85 + H*$4.29)/16 = $3.30

( (16 - H)*$2.85 + H*$4.29) = $3.30*16 = $52.80

$45.60 + H*$1.44 = $52.80

H*$1.44 = $52.80 - $45.60 = $7.20

H = $7.20/$1.44 = 5

Then in the mix pack there are 5 hot-pepper seeds.

And the other 11 must be sweet-pepper seeds

Algebraic equations are equations that contain unknown variables.

The number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

Let's represent:is

The number of packets of sweet-pepper seeds = s

The number of packets of hot-pepper seeds = h

Based on this question, our system of equations are:

$2.85 x s + $4.29 x h = $3.30(16)

2.85s + 4.29h = 52.8...........Equation 1

s + h = 16...........Equation 2

s = 16 - h

We substitute 16 - h for s in Equation 1

2.85(16 - h) + 4.29h = 52.8

45.6 -2.85h + 4.29h = 52.8

Subtract 45.6 from both sides

45.6 - 45.6 -2.85h + 4.29h = 52.8 - 45.6

1.44h = 7.2

h = 5

There are 5 hot-pepper seeds in the assortment.

Solving for the number of sweet-pepper seeds.

s = 16 - h

s = 16 - 5

s = 11

There are 11 sweet-pepper seeds in the assortment.

Therefore, the number of packets of sweet-pepper seeds is 11 and the number of packets of hot-pepper seeds is 5.

To learn more, visit the link below:

brainly.com/question/12978834

Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads

Answers

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept

∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour

→ Find his rate per hour by dividing the number of pages by its time

His rate of reading = 42 ÷  [tex]\frac{3}{4}[/tex] = 42 ×  [tex]\frac{4}{3}[/tex] = 56 pages per hour

∵ His rate = 56 pages/hour

m = 56

Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

There is no initial amount of reading

b = 0

N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Harry drove 5 hours on the freeway. then decreased his speed by 20 miles per hour and drove for 3 more hours on a country road. if his total trip was 396 miles, than what was his speed on the freeway?​

Answers

Answer:

What are the options

Step-by-step explanation:

The question I need help in is the middle one. PLEASE I NEED ANDWER ASAP!

Answers

Answer:

3.25

Step-by-step explanation:

I plugged in 5 for x and got 3.25 when I solved

Need HELP PLEASE! will mark brainliest and everything else!
THX

Answers

Answer:

0

Step-by-step explanation:

Order of operation:

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

Follow this order of operation in order.

If there are parenthesis when solving an equation, do the parenthesis first, if there are exponents and multiplication, do exponents before you do multiplication.

14 + 5(-3) + 1

Multiply 5 * -3

14 + -15 + 1

Add 14 + (-15)

-1 + 1

Add -1 + 1

0

Hope this helps and pls do mark me brainliest:)

Answer:

0

I hope this helps!

Solve for S

P=4s

Please answer!!!!

Answers

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

It’s definitely b hope that helps lmk if it’s correct

A jewelry store is having a 45% off sale for all necklaces. During this sale, what is the cost of a necklace that regularly costs $59.98?​

Answers

Answer:

32.99

Step-by-step explanation:

59.98(45%)=26.99

59.98-26.99=32.99

Answer:

$32.99, the discount took off $26.99.

Step-by-step explanation:

Good luck!

What value of p makes this equation true?
3/4 p- 1/4p + 3 = -2

Answers

Answer:

-10

Step-by-step explanation:

p/2=-5

p=-10

Answer:

-10

Step-by-step explanation:

3/4p-1/4p+3=-2

1/2p+3=-2

1/2p=-5

-10

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