Find the perimeter and area of the polygon with the given vertices P(-3,4), Q(1,4), R(-3,-2), S(3,-2)

Answers

Answer 1

Answer:

Step-by-step explanation:

Find the perimeter and area of the polygon with the given vertices P(-3,4), Q(1,4), R(-3,-2), S(3,-2)

We find the length of the sides of this polygon using the formula:

√(x2 - x1)² + (y2 - y1)2

Where (x1, y1) and (x2, y2)

P(-3,4), Q(1,4)

= √(1 -(-3))² + (4 - 4)²

= √4²

= √16

= 4 units

Q(1,4), R(-3,-2)

= √(-3 - 1)² + (-2 - 4)²

= √-4² + -6²

= √16 + 36

= √52

R(-3,-2), S(3,-2)

= √(3 - (-3))² + (-2 - (-2))²

= √6²+ 0

= √36

= 6 units

P(-3,4), S(3,-2)

= √(3 - (-3))²+ ( -2 - 4)²

= √6² + -6²

= √36 + 36

= √72 units


Related Questions

52/4 + 8z^2
I need help solving this equation?

Answers

Answer:

8

2

+

1

3

Step-by-step explanation:

13/1 +8z2
Answer = 13+8z2

Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

5

Step-by-step explanation:

Vanilla ice cream = 3/5 x 25 = 15

Remaining = 25 - 15 = 10

Mint ice cream = 1/2 x 10 = 5

Remainder = 10 - 5 = 5 = vanilla

7/8 + m = 4 3/4

A. m = 3

B. m = 3 7/8

C. m = 4 1/8

D. m = 5 5/8

Answers

The answer to this question is B.

Please helppp. Can you explain this?

Answers

Answer:

We have to find the value of x.

We need to substitute with 3 because they measure the same.

Step-by-step explanation:

(x - 1)

x - 1 = 3

x - 1 + 1 = 3 + 1

x = 4

(x + 1)

x + 1 = 5

x + 1 - 1 = 5 - 1

x = 4

Both answers are the same which means that they are correct.  

plz help me With this question plz !!!!

Answers

Answer:

arc WVY = 250°

Step-by-step explanation:

The tangent- tangent angle YXW is half the difference of the intercepted arcs

[tex]\frac{1}{2}[/tex] ( WVY - WY) = 70

[tex]\frac{1}{2}[/tex] (10a - (4a + 10) ) = 70 ( multiply both sides by 2 )

10a - 4a - 10 = 140

6a - 10 = 140 ( add 10 to both sides )

6a = 150 ( divide both sides by 6 )

a = 25

Then

arc WVY = 10x = 10 × 25 = 250°

Please help me with this

Answers

Answer:the answer would also be 20 degrees

Step-by-step explanation:

because its exaclty across from the angle!!!!!

Answer:

20 degrees

Step-by-step explanation

they are opposite angles

in AABC, the measure of angle A=x degree, the measure of angle B=(2x)degrees, and the measure of angle C=(6x+18)degrees. What is the measure of angle B?

Answers

Answer:

m<B: 36

Step-by-step explanation:

x + 2x + 6x + 18 = 180

9x + 18 = 180

9x = 162

x = 18

m<B:

2x

2(18)

36

Answer:

m<B=36°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°.

That means the sum of m<A+m<B+m<C=180°

We're given that:

m<A=x°

m<B=(2x)°

m<C=(6x+18)°

we can substitute those values as m<A, m<B, and m<C

x+2x+6x+18=180

combine like terms

9x+18=180

subtract 18 from both sides

9x=162

divide by 9

x=18°

we found the value of x, but we're not done yet

The question asks to find m<B, which is 2x°

in that case, we can substitute our known value to find the measure of <B

m<B=2x°

m<B=2(18)°

m<B=36°

Eli runs 5 meters per second.

On a coordinate plane, a line goes through points (1, 5) and (2, 10)..

Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.


will some on really help me know?

Answers

Answer:

Its B, D, E

Step-by-step explanation:

Answer:

what the person above me said    

Step-by-step explanation:                                   =

                                                                            =====

                                                                        =========

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

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

                                                                           =====

                                                                           =====

                                                                           =====

                                                                           =====

                                                                           =====

Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?

Answers

Answer:

Step-by-step explanation:

Simple interest is not compounded and is

I=Prt (where I=interest, P=principle, r=rate, t=time)

I=3000(.02)5

I=$300

The expression (7-4i)-(3-12i) simplified is

Answers

Answer:

8i + 4

Step-by-step explanation:

Add/subtract like terms:

7 - 3

= 4

-4i - (-12i)

-4i + 12i

= 8i

Add these together:

8i + 4

So, the simplified expression is 8i + 4

i’m really struggling here. everything i search up makes no sense. i literally can’t fine the answer.

Answers

The second one should be correct
Hope that helped sorry if it’s wrong

PLZZ HELPP!!! The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:

Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

where is the graph i need the graph to at least awnser this

help me pls AAAAAAAA

Answers

Answer:

10/3 liters

Step-by-step explanation:

Divide (4/3) by 2, then multiply by 5

Answer:

10/3 liters

Step-by-step explanation:

Your welcome, hope this helps you

I need help ASAP please

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his
change is $2.75, how many dimes and how many quarters does he have?

Answers

Answer:

9 quarters 5 dimes!

Step-by-step explanation:

9x0.25=2.25

5x0.10=0.50

2.25+0.50=2.75

I need help asap this is Trigonometry

Answers

Answer:

∠BAC = 54.11°

Step-by-step explanation:

cos ∠BAC = 17/29 = 0.5862

∠BAC = 54.11°

Neil got a hit 9 of the 11 times he batted in the softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?

Answers

Answer:

they have the same batting record

Step-by-step explanation:

Batting record for each :

Neil :

9 /11 = 0.8181

Maggie :

18 /22 = 0.8181

From here we see that they both have the same proportion of hits :

Hence they have the same batting record

Use the distributive property to expand (simplify): 13(9 + g)​

Answers

13g+117

Step-by-step explanation:

just distribute the 13 to each value in the parentheses

2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?

Answers

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.

Answers

Answer:

height = 8.5 feet

Step-by-step explanation:

Area of a triangle formula:

a=1/2bh

substitute what's given

93.5 = (1/2)22h

93.5=11h

divide both sides by 11 to isolate h

h=8.5 ft

One interior angle of a triangle is 60°. The other angle measures are x° and yº. Which of the following could be the values of
x and y? Select all that apply. X = 60, y = 60
X = 100, y = 20
X = 40, y = 80. x=50, y = 90
X = 45, y = 45

Answers

Answer:

x=60, y= 60

x=100, y= 20

x=40, y=80

Step-by-step explanation:

Triangles add up to 180 degrees. The ones above added to 60 equal 180.

60+60+60=180

100+20+60=180

40+80+60=180

Hope this helps! :)

Letícia is dividing 2 3/4 pounds of trail mix equally among each of her four friends. How much does each receive

Answers

Answer:

11/16 pounds each

Step By Step Explanation:

Change the mixed fraction to improper fraction

2 3/4 = 11/4

Divide the answer by 4

11/4 ÷ 4 = 11/16

Each friend gets 11/16 pounds

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answers

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

The function f is given by f(x) = (x−2)(x+4)



What are the x-intercepts of the graph representing f?

Answers

Answer:

intercepts are 2 and -4

I hope this helps ;)

Write a linear function f with the
values f(0) = 6 and f(4) = -6.

Answers

Answer:

f(x) = -3x + 6

Step-by-step explanation:

The general linear function is;

y = mx + b

it can also be written as (x , f(x))

f(x) = mx + b

where m is the slope and b is the y-intercept

so we have the points ;

(0,6) and (4,-6)

So we have;

for f(0) to be 6, it means that the y-intercept b is 6

This is because the value of x at the y-intercept is 0

So we have this as;

f(x) = mx + 6

Now, let’s substitute the other point so as to get m

For the other point;

x = 4 and f(x) = -6

that means;

-6 = 4m + 6

4m = -6-6

4m = -12

m = -12/4

m = -3

So we have the equation as;

f(x) = -3x + 6

Someone needed help with these questions, I couldn't answer it since two people are already answering it soo... Please help him/her!

Answers

First Question:

Follow PEMDAS

Parentheses, Exponents, Multiplication or Division, Addition or Subtraction

3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 2³)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 8)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (20)

= 3 × 4 × 20

= 12 × 20

= 240

Second Question:

change the mixed number into an improper fraction:

[tex]3\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]

= [tex]\frac{11}{3}[/tex] ÷ [tex]\frac{3}{4}[/tex]

= [tex]\frac{11}{3}[/tex] × [tex]\frac{4}{3}[/tex]

= [tex]\frac{44}{3}[/tex]

rounded to WHOLE number: 14 containers

The playroom on a blueprint is 3 cm by 8 cm. If the blueprint was drawn using a scale of 1 cm
= 5 ft, what are the actual dimensions of the playroom?

Answers

Answer:

15 feet by 40 feet

Step-by-step explanation:

if the original dimensions were 3 by 8 and 1 cm = 5 feet multiply 3x5 then 8x5 and you receive your answer.

a coin is tossed 80 times, it lands on heads 30 times and on tails 50 times. which three statements (shown below) are correct when comparing the experimental and theoretical probability?

Answers

Answer:

Its A C and D

Step-by-step explanation:

A teacher is making a seating chart in order to group his class of 30 students. He puts 5 students in each group.
What should the teacher do to figure out how many groups he will have?

Answers

Answer:

The teacher should divide the amount of students by 5, that way they'll find how many groups they'll have. And the amount of groups they'll have is 6 groups of 5 students, you didn't ask for this part but I decided it'd be best to add it. Hope this helps, have an amazing day you awesome human! ^w^

Step-by-step explanation:

What is the length of the hypotenuse of the triangle?

Answers

Answer:

Step-by-step explanation:

The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.

Other Questions
So there is this man that has been following me for like 15 minutes and I uh dont know what to do... And uh yea, help... Alexander tucked the extension cord under the counter, so that he A could remember where it was B. wouldn't trip over it and cause any destruction could be promoted for being responsible D wouldn't have to spend as much time putting cords away at the end of the night hello am just trying to make sure I did the gray one right The nervous system ________, processes, and ____________ to information received by the brain. a west virginia philanthropist who started a generic pharmaceutical company in a small roller rink in the town of White Sulphur Springs and still has a factory in Morgantown. who is it ? f x g / _______ = fPLEASE HELP I WILL GIVE BRAINLIEST help please, thank you! Brown Cow Dairy uses the aging approach to estimate bad debt expense. The ending balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, $15,000; (2) up to 120 days past due, $8,000; and (3) more than 120 days past due, $3,000. Experience has shown that for each age group, the average loss rate on the amount of the receivables at year-end due to uncollectibility is (1) 3 percent, (2) 11 percent, and (3) 20 percent, respectively. At December 31 (end of the current year), the Allowance for Doubtful Accounts balance is $750 (credit) before the end-of-period adjusting entry is made. Data during the current year follow: a. During December, an Account Receivable (Patty's Bake Shop) of $700 from a prior sale was determined to be uncollectible; therefore, it was written off immediately as a bad debt. b. On December 31, the appropriate adjusting entry for the year was recorded. Required: 1. Give the required journal entries for the two items listed above. 2. Show how the amounts related to Accounts Receivable and Bad Debt Expense would be reported on the income statement and balance sheet for the current year. sorry for all the screen wrinkles but whats this A ______________ is a piece of informational text that tells about a specific portion of someone's life A scientist adds different amounts of salt to 5 bottles of water. She then measures how long it takes for the water to boil. What is the responding variable in this experiment Owen is going to an amusement park. The price of admission into the park is $40, and once he is inside the park, he will have to pay $2 for every ride he rides on. How much money would Owen have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides? PLEASE LOOK AT THE PICTURE!! The mass of a salt in grams that will dissolve in 100 mL of water. ____________ A solution that has dissolved the maximum amount of a compound at a given temperature. Any further addition of salt will remain undissolved. _________ The product of the molarities of the dissolved ions, raised to a power equal to the ion's coefficient in the balanced chemical equation. __________ A decrease in the solubility of an ionic compound as a result of the addition of a common ion. __________ The maximum number of moles of a salt that will dissolve in 1 L of solution. a. A decrease in the solubility of an ionic compound as a result of the addition of a common ion.b. The mass of a salt in grams that will dissolve in 100 mL of water.c. A solution that has dissolved the maximum amount of a compound at a given temperature. Any further addition of salt will remain undissolved.d. The product of the molarities of the dissolved ions, raised to a power equal to the ion's coefficient in the balanced chemical equation.e. The maximum number of moles of a salt that will dissolve in 1 L of solution. I need help almost due and im trying to finish up idljkewbcu ASAP ANSWER Plants cause weathering, too. A seed that falls into a crack in a rock may grow there. Growing roots may push on and enlarge the crack, What is this process called Question 2 options: chemical weathering mechanical weathering root-pry pedalfer 1. How is the property of compressibility of gases used in everyday life? Give an example. Which sentence best illustrates the idea outlined above Exercise 5-10 (Algo) Multiproduct Break-Even Analysis [LO5-9] Lucido Products markets two computer games: Claimjumper and Makeover. A contribution format income statement for a recent month for the two games appears below: Claimjumper Makeover Total Sales $ 112,000 $ 56,000 $ 168,000 Variable expenses 41,320 9,080 50,400 Contribution margin $ 70,680 $ 46,920 117,600 Fixed expenses 81,060 Net operating income $ 36,540 Required: 1. What is the overall contribution margin (CM) ratio for the company